W3C: WD-png-960311

PNG (Portable Network Graphics) Specification

Version 0.96

W3C Working Draft 11-Mar-1996


This version:
http://www.w3.org/pub/WWW/TR/WD-png-960311
Latest version:
http://www.w3.org/pub/WWW/TR/WD-png
For list of authors, see Chapter 19, Credits

Status of this document

This is a W3C Working Draft for review by W3C members and other interested parties. It is a draft document and may be updated, replaced or obsoleted by other documents at any time. It is inappropriate to use W3C Working Drafts as reference material or to cite them as other than "work in progress". A list of current W3C working drafts can be found at: http://www.w3.org/pub/WWW/TR

Note: Since working drafts are subject to frequent change, you are advised to reference the above URL, rather than the URLs for working drafts themselves.


Abstract

This document describes PNG (Portable Network Graphics), an extensible file format for the lossless, portable, well-compressed storage of raster images. PNG provides a patent-free replacement for the GIF format and can also replace many common uses of TIFF format. Indexed-color, grayscale, and truecolor images are supported, plus an optional alpha channel. Sample depths range from 1 to 16 bits.

PNG is designed to work well in online viewing applications, such as the World Wide Web, and so it is fully streamable with a progressive display option. PNG is robust, providing both full file integrity checking and simple detection of common transmission errors. Also, PNG can store gamma and chromaticity data for improved color matching on heterogenous platforms.

This specification defines a proposed Internet Media Type image/png.


Table of Contents

1. Introduction

The PNG format provides a portable, legally unencumbered, well-compressed, well-specified standard for lossless bitmapped image files.

Although the initial motivation for developing PNG was to replace GIF, the design provides some useful new features not available in GIF, with minimal cost to developers.

GIF features retained in PNG include:

Important new features of PNG, not available in GIF, include: PNG is designed to be:

The main part of this specification gives the definition of the file format and recommendations for encoder and decoder behavior. An appendix gives the rationale for many design decisions. Although the rationale is not part of the formal specification, reading it can help implementors understand the design. Cross-references in the main text point to relevant parts of the rationale. Additional appendixes, also not part of the formal specification, provide tutorials on gamma and color theory as well as other supporting material.

See Rationale: Section 12.1, Why a new file format?, Section 12.2, Why these features?, Section 12.3, Why not these features?, Section 12.4, Why not use format XYZ?.

Pronunciation

PNG is pronounced "ping".

2. Data Representation

This chapter discusses basic data representations used in PNG files, as well as the expected representation of the image data.

2.1. Integers and byte order

All integers that require more than one byte will be in network byte order: the most significant byte comes first, then the less significant bytes in descending order of significance (MSB LSB for two-byte integers, B3 B2 B1 B0 for four-byte integers). The highest bit (value 128) of a byte is numbered bit 7; the lowest bit (value 1) is numbered bit 0. Values are unsigned unless otherwise noted. Values explicitly noted as signed are represented in two's complement notation.

See Rationale: Section 12.5, Byte order.

2.2. Color values

All color values range from zero (representing black) to most intense at the maximum value for the bit depth. Note that the maximum value at a given bit depth is (2^bitdepth)-1, not 2^bitdepth. Colors can be represented by either grayscale or RGB (red, green, blue) sample data. Grayscale data represents luminance; RGB data represents calibrated color information (if the cHRM chunk is present) or uncalibrated device-dependent color (if cHRM is absent).

Sample values are not necessarily linear; the gAMA chunk specifies the gamma characteristic of the source device, and viewers are strongly encouraged to compensate properly. See Section 2.7, Gamma correction.

Source data with a precision not directly supported in PNG (for example, 5 bit/sample truecolor) must be scaled up to the next higher supported bit depth. This scaling is reversible with no loss of data, and it reduces the number of cases that decoders must cope with. See Recommendations for Encoders: Section 9.1, Bit depth scaling and Recommendations for Decoders: Section 10.4, Bit depth rescaling.

2.3. Image layout

PNG images are laid out as a rectangular pixel array, with pixels appearing left-to-right within each scanline, and scanlines appearing top-to-bottom. (For progressive display purposes, the data may be physically transmitted in a different order; see Section 2.6, Interlaced data order.) The size of each pixel is determined by the bit depth, which is the number of bits per sample in the image data.

Three types of pixel are supported:

Optionally, grayscale and truecolor pixels can also include an alpha sample, as described in the next section.

Pixels are always packed into scanlines with no wasted bits between pixels. (Permitted bit depths and pixel types are restricted so that in all cases the packing is simple and efficient. In particular, pixels smaller than a byte never cross byte boundaries.) When pixels have fewer than 8 bits, they are packed into bytes with the leftmost pixel in the high-order bits of a byte, the rightmost in the low-order bits.

Scanlines always begin on byte boundaries. When pixels have fewer than 8 bits and the scanline width is not evenly divisible by the number of pixels per byte, the low-order bits in the last byte of each scanline are wasted. The contents of the padding bits added to fill out the last byte of a scanline are unspecified.

PNG permits multi-sample pixels only with 8- and 16-bit samples, so multiple samples of a single pixel are never packed into one byte. 16-bit samples are stored in network byte order (MSB first).

An additional "filter type" byte is added to the beginning of every scanline, as described in detail below. The filter type byte is not considered part of the image data, but it is included in the datastream sent to the compression step.

2.4. Alpha channel

An alpha channel, representing transparency information on a per-pixel basis, can be included in grayscale and truecolor PNG images.

An alpha value of zero represents full transparency, and a value of (2^bitdepth)-1 represents a fully opaque pixel. Intermediate values indicate partially transparent pixels that can be combined with a background image to yield a composite image. (Thus, alpha is really the degree of opacity of the pixel. But most people refer to alpha as providing transparency information, not opacity information, and we continue that custom here.)

Alpha channels can be included with images that have either 8 or 16 bits per sample, but not with images that have fewer than 8 bits per sample. Alpha samples are represented with the same bit depth used for the image samples. The alpha sample for each pixel is stored immediately following the grayscale or RGB samples of the pixel.

The color values stored for a pixel are not affected by the alpha value assigned to the pixel. This rule is sometimes called "unassociated" or "non premultiplied" alpha. (Another common technique is to store sample values premultiplied by the alpha fraction; in effect, such an image is already composited against a black background. PNG does not use premultiplied alpha.)

Transparency control is also possible without the storage cost of a full alpha channel. In an indexed-color image, an alpha value can be defined for each palette entry. In grayscale and truecolor images, a single pixel value can be identified as being "transparent". These techniques are controlled by the tRNS ancillary chunk type.

If no alpha channel nor tRNS chunk is present, all pixels in the image are to be treated as fully opaque.

Viewers can support transparency control partially, or not at all.

See Rationale: Section 12.8, Non-premultiplied alpha, Recommendations for Encoders: Section 9.4, Alpha channel creation, and Recommendations for Decoders: Section 10.8, Alpha channel processing.

2.5. Filtering

PNG allows the image data to be filtered before it is compressed. Filtering can improve the compressibility of the data. The filter step itself does not reduce the size of the data. All PNG filters are strictly lossless.

PNG defines several different filter algorithms, including "none" which indicates no filtering. The filter algorithm is specified for each scanline by a filter type byte that precedes the filtered scanline in the precompression datastream. An intelligent encoder can switch filters from one scanline to the next. The method for choosing which filter to employ is up to the encoder.

See Chapter 6, Filter Algorithms and Rationale: Section 12.9, Filtering.

2.6. Interlaced data order

A PNG image can be stored in interlaced order to allow progressive display. The purpose of this feature is to allow images to "fade in" when they are being displayed on-the-fly. Interlacing slightly expands the file size on average, but it gives the user a meaningful display much more rapidly. Note that decoders are required to be able to read interlaced images, whether or not they actually perform progressive display.

With interlace method 0, pixels are stored sequentially from left to right, and scanlines sequentially from top to bottom (no interlacing).

Interlace method 1, known as Adam7 after its author, Adam M. Costello, consists of seven distinct passes over the image. Each pass transmits a subset of the pixels in the image. The pass in which each pixel is transmitted is defined by replicating the following 8-by-8 pattern over the entire image, starting at the upper left corner:

   1 6 4 6 2 6 4 6
   7 7 7 7 7 7 7 7
   5 6 5 6 5 6 5 6
   7 7 7 7 7 7 7 7
   3 6 4 6 3 6 4 6
   7 7 7 7 7 7 7 7
   5 6 5 6 5 6 5 6
   7 7 7 7 7 7 7 7
Within each pass, the selected pixels are transmitted left to right within a scanline, and selected scanlines sequentially from top to bottom. For example, pass 2 contains pixels 4, 12, 20, etc. of scanlines 0, 8, 16, etc. (numbering from 0,0 at the upper left corner). The last pass contains the entirety of scanlines 1, 3, 5, etc.

The data within each pass is laid out as though it were a complete image of the appropriate dimensions. For example, if the complete image is 8x8 pixels, then pass 3 will contain a single scanline containing two pixels. When pixels have fewer than 8 bits, each such scanline is padded as needed to fill an integral number of bytes (see Section 2.3, Image layout). Filtering is done on this reduced image in the usual way, and a filter type byte is transmitted before each of its scanlines (see Chapter 6, Filter Algorithms). Notice that the transmission order is defined so that all the scanlines transmitted in a pass will have the same number of pixels; this is necessary for proper application of some of the filters.

Caution: If the image contains fewer than five columns or fewer than five rows, some passes will be entirely empty. Encoder and decoder authors must be careful to handle this case correctly. In particular, filter type bytes are only associated with nonempty scanlines; no filter type bytes are present in an empty pass.

See Rationale: Section 12.6, Interlacing and Recommendations for Decoders: Section 10.9, Progressive display.

2.7. Gamma correction

PNG images can specify, via the gAMA chunk, the gamma characteristic of the image with respect to the original scene. Display programs can (and are strongly encouraged to) use this information, plus information about the display device they are using and room lighting, to present the image to the viewer in a way that reproduces what the image's original author saw as closely as possible. See Chapter 13, Gamma Tutorial if you aren't already familiar with gamma issues.

Gamma correction is not applied to the alpha channel, if any. Alpha samples always represent a linear fraction of full opacity.

For high-precision applications, the exact chromaticity of the RGB data in a PNG image can be specified via the cHRM chunk, allowing more accurate color matching than gamma correction alone will provide. See Chapter 14, Color Tutorial if you aren't already familiar with color representation issues.

See Rationale: Section 12.7, Why gamma?, Recommendations for Encoders: Section 9.2, Encoder gamma handling, and Recommendations for Decoders: Section 10.5, Decoder gamma handling.

2.8. Text strings

A PNG file can store text associated with the image, such as an image description or copyright notice. Keywords are used to indicate what each text string represents.

ISO 8859-1 (Latin-1) is the character set recommended for use in text strings [ISO-8859]. This character set is a superset of 7-bit ASCII.

Character codes not defined in Latin-1 should not be used, because they have no platform-independent meaning. If a non-Latin-1 code does appear in a PNG text string, its interpretation will vary across platforms and decoders. Some systems might not even be able to display all the characters in Latin-1, but most modern systems can.

Provision is also made for the storage of compressed text.

See Rationale: Section 12.10, Text strings.

3. File Structure

A PNG file consists of a PNG signature followed by a series of chunks. This chapter defines the signature and the basic properties of chunks. Individual chunk types are discussed in the next chapter.

3.1. PNG file signature

The first eight bytes of a PNG file always contain the following (decimal) values:
   137 80 78 71 13 10 26 10
This signature indicates that the remainder of the file contains a single PNG image, consisting of a series of chunks beginning with an IHDR chunk and ending with an IEND chunk.

See Rationale: Section 12.11, PNG file signature.

3.2. Chunk layout

Each chunk consists of four parts:
Length
A 4-byte unsigned integer giving the number of bytes in the chunk's data field. The length counts only the data field, not itself, the chunk type code, or the CRC. Zero is a valid length. Although encoders and decoders should treat the length as unsigned, its value must not exceed (2^31)-1 bytes.
Chunk Type
A 4-byte chunk type code. For convenience in description and in examining PNG files, type codes are restricted to consist of uppercase and lowercase ASCII letters (A-Z and a-z, or 65-90 and 97-122 decimal). However, encoders and decoders must treat the codes as fixed binary values, not character strings. For example, it would not be correct to represent the type code IDAT by the EBCDIC equivalents of those letters. Additional naming conventions for chunk types are discussed in the next section.
Chunk Data
The data bytes appropriate to the chunk type, if any. This field can be of zero length.
CRC
A 4-byte CRC (Cyclic Redundancy Check) calculated on the preceding bytes in that chunk, including the chunk type code and chunk data fields, but not including the length field. The CRC is always present, even for chunks containing no data. The CRC algorithm is specified below.

The chunk data length can be any number of bytes up to the maximum; therefore, implementors cannot assume that chunks are aligned on any boundaries larger than bytes.

Chunks can appear in any order, subject to the restrictions placed on each chunk type. (One notable restriction is that IHDR must appear first and IEND must appear last; thus the IEND chunk serves as an end-of-file marker.) Multiple chunks of the same type can appear, but only if specifically permitted for that type.

See Rationale: Section 12.12, Chunk layout.

3.3. Chunk naming conventions

Chunk type codes are assigned so that a decoder can determine some properties of a chunk even when it does not recognize the type code. These rules are intended to allow safe, flexible extension of the PNG format, by allowing a decoder to decide what to do when it encounters an unknown chunk. The naming rules are not normally of interest when the decoder does recognize the chunk's type.

Four bits of the type code, namely bit 5 (value 32) of each byte, are used to convey chunk properties. This choice means that a human can read off the assigned properties according to whether each letter of the type code is uppercase (bit 5 is 0) or lowercase (bit 5 is 1). However, decoders should test the properties of an unknown chunk by numerically testing the specified bits; testing whether a character is uppercase or lowercase is inefficient, and even incorrect if a locale-specific case definition is used.

It is worth noting that the property bits are an inherent part of the chunk name, and hence are fixed for any chunk type. Thus, TEXT and Text would be unrelated chunk type codes, not the same chunk with different properties. Decoders should recognize type codes by simple four-byte literal comparison; it is incorrect to perform case conversion on type codes.

The semantics of the property bits are:

Ancillary bit: bit 5 of first byte
0 (uppercase) = critical, 1 (lowercase) = ancillary.

Chunks that are not strictly necessary in order to meaningfully display the contents of the file are known as "ancillary" chunks. Decoders encountering an unknown chunk in which the ancillary bit is 1 can safely ignore the chunk and proceed to display the image. The time chunk (tIME) is an example of an ancillary chunk.

Chunks that are critical to the successful display of the file's contents are called "critical" chunks. Decoders encountering an unknown chunk in which the ancillary bit is 0 must indicate to the user that the image contains information they cannot safely interpret. The image header chunk (IHDR) is an example of a critical chunk.

Private bit: bit 5 of second byte
0 (uppercase) = public, 1 (lowercase) = private.

A public chunk is one that is part of the PNG specification or is registered in the list of PNG special-purpose public chunk types. Applications can also define private (unregistered) chunks for their own purposes. The names of private chunks must have a lowercase second letter, while public chunks will always be assigned names with uppercase second letters. Note that decoders do not need to test the private-chunk property bit, since it has no functional significance; it is simply an administrative convenience to ensure that public and private chunk names will not conflict. See Section 4.4, Additional Chunk Types and Recommendations for Encoders: Section 9.8, Use of private chunks.

Reserved bit: bit 5 of third byte
Must be 0 (uppercase) always.

The significance of the case of the third letter of the chunk name is reserved for possible future expansion. At the present time all chunk names must have uppercase third letters. (Decoders should not complain about a lowercase third letter, however, as some future version of the PNG specification could define a meaning for this bit. It is sufficient to treat a chunk with a lowercase third letter in the same way as any other unknown chunk type.)

Safe-to-copy bit: bit 5 of fourth byte
0 (uppercase) = unsafe to copy, 1 (lowercase) = safe to copy.

This property bit is not of interest to pure decoders, but it is needed by PNG editors (programs that modify PNG files). This bit defines the proper handling of unrecognized chunks in a file that is being modified.

If a chunk's safe-to-copy bit is 1, the chunk may be copied to a modified PNG file whether or not the software recognizes the chunk type, and regardless of the extent of the file modifications.

If a chunk's safe-to-copy bit is 0, it indicates that the chunk depends on the image data. If the program has made any changes to critical chunks, including addition, modification, deletion, or reordering of critical chunks, then unrecognized unsafe chunks must not be copied to the output PNG file. (Of course, if the program does recognize the chunk, it can choose to output an appropriately modified version.)

A PNG editor is always allowed to copy all unrecognized chunks if it has only added, deleted, or modified ancillary chunks. This implies that it is not permissible to make ancillary chunks that depend on other ancillary chunks.

PNG editors that do not recognize a critical chunk must report an error and refuse to process that PNG file at all. The safe/unsafe mechanism is intended for use with ancillary chunks. The safe-to-copy bit will always be 0 for critical chunks.

Rules for PNG editors are discussed further in Chapter 7, Chunk Ordering Rules.

For example, the hypothetical chunk type name "bLOb" has the property bits:

   bLOb  <-- 32 bit chunk type code represented in text form
   ||||
   |||+- Safe-to-copy bit is 1 (lower case letter; bit 5 is 1)
   ||+-- Reserved bit is 0     (upper case letter; bit 5 is 0)
   |+--- Private bit is 0      (upper case letter; bit 5 is 0)
   +---- Ancillary bit is 1    (lower case letter; bit 5 is 1)
Therefore, this name represents an ancillary, public, safe-to-copy chunk.

See Rationale: Section 12.13, Chunk naming conventions.

3.4. CRC algorithm

Chunk CRCs are calculated using standard CRC methods with pre and post conditioning, as defined by ISO 3309 [ISO-3309] or ITU-T V.42 [ITU-V42]. The CRC polynomial employed is:
   x^32+x^26+x^23+x^22+x^16+x^12+x^11+x^10+x^8+x^7+x^5+x^4+x^2+x+1
The 32-bit CRC register is initialized to all 1's, and then the data from each byte is processed from the least significant bit (1) to the most significant bit (128). After all the data bytes are processed, the CRC register is inverted (its ones complement is taken). This value is transmitted (stored in the file) MSB first. For the purpose of separating into bytes and ordering, the least significant bit of the 32-bit CRC is defined to be the coefficient of the x^31 term.

Practical calculation of the CRC always employs a precalculated table to greatly accelerate the computation. See Chapter 15, Sample CRC Code.

4. Chunk Specifications

This chapter defines the standard types of PNG chunks.

4.1. Critical Chunks

All implementations must understand and successfully render the standard critical chunks. A valid PNG image must contain an IHDR chunk, one or more IDAT chunks, and an IEND chunk.

4.1.1. IHDR Image Header

This chunk must appear FIRST. Its contents are:
   Width:              4 bytes
   Height:             4 bytes
   Bit depth:          1 byte
   Color type:         1 byte
   Compression method: 1 byte
   Filter method:      1 byte
   Interlace method:   1 byte
Width and height give the image dimensions in pixels. They are 4-byte integers. Zero is an invalid value. The maximum for each is (2^31)-1 in order to accommodate languages that have difficulty with unsigned 4-byte values.

Bit depth is a single-byte integer giving the number of bits per sample (not per pixel, except when a pixel contains just one sample). Valid values are 1, 2, 4, 8, and 16, although not all values are allowed for all color types.

Color type is a single-byte integer that describes the interpretation of the image data. Color type codes represent sums of the following values: 1 (palette used), 2 (color used), and 4 (alpha channel used). Valid values are 0, 2, 3, 4, and 6.

Bit depth restrictions for each color type are imposed to simplify implementations and to prohibit combinations that do not compress well. Decoders must support all legal combinations of bit depth and color type. The allowed combinations are:

   Color    Allowed    Interpretation
   Type    Bit Depths
   
   0       1,2,4,8,16  Each pixel is a grayscale sample.
   
   2       8,16        Each pixel is an R,G,B triple.
   
   3       1,2,4,8     Each pixel is a palette index;
                       a PLTE chunk must appear.
   
   4       8,16        Each pixel is a grayscale sample,
                       followed by an alpha sample.
   
   6       8,16        Each pixel is an R,G,B triple,
                       followed by an alpha sample.

Compression method is a single-byte integer that indicates the method used to compress the image data. At present, only compression method 0 (deflate/inflate compression with a 32K sliding window) is defined. All standard PNG images must be compressed with this scheme. The compression method code is provided for possible future expansion or proprietary variants. Decoders must check this byte and report an error if it holds an unrecognized code. See Chapter 5, Deflate/Inflate Compression for details.

Filter method is a single-byte integer that indicates the preprocessing method applied to the image data before compression. At present, only filter method 0 (adaptive filtering with five basic filter types) is defined. As with the compression type code, decoders must check this byte and report an error if it holds an unrecognized code. See Chapter 6, Filter Algorithms for details.

Interlace method is a single-byte integer that indicates the transmission order of the image data. Two values are currently defined: 0 (no interlace) or 1 (Adam7 interlace). See Section 2.6, Interlaced data order for details.

4.1.2. PLTE Palette

This chunk's contents are from 1 to 256 palette entries, each a three-byte series of the form:
   Red:   1 byte (0 = black, 255 = red)
   Green: 1 byte (0 = black, 255 = green)
   Blue:  1 byte (0 = black, 255 = blue)
The number of entries is determined from the chunk length. A chunk length not divisible by 3 is an error.

This chunk must appear for color type 3, and can appear for color types 2 and 6; it is not allowed for color types 0 and 4. If this chunk does appear, it must precede the first IDAT chunk. There cannot be more than one PLTE chunk.

For color type 3 (indexed color), the PLTE chunk is required. The first entry in PLTE is referenced by pixel value 0, the second by pixel value 1, etc. The number of palette entries must not exceed the range that can be represented by the bit depth (for example, 2^4 = 16 for a bit depth of 4). It is permissible to have fewer entries than the bit depth would allow. In that case, any out-of-range pixel value found in the image data is an error.

For color types 2 and 6 (truecolor and truecolor with alpha), the PLTE chunk is optional. If present, it provides a suggested set of from 1 to 256 colors to which the truecolor image can be quantized if the viewer cannot display truecolor directly. If PLTE is not present, such a viewer must select colors on its own, but it is often preferable for this to be done once by the encoder. (See Recommendations for Encoders: Section 9.5, Suggested palettes.)

Note that the palette uses 8 bits (1 byte) per sample regardless of the image bit depth specification. In particular, the palette is 8 bits deep even when it is a suggested quantization of a 16-bit truecolor image.

There is no requirement that the palette entries all be used by the image, nor that they all be different.

4.1.3. IDAT Image Data

This chunk contains the actual image data. To create this data:
  1. Begin with image scanlines represented as described in Section 2.3, Image layout; the layout and total size of this raw data are determined by the fields of IHDR.
  2. Filter the image data according to the filtering method specified by the IHDR chunk. (Note that with filter method 0, the only one currently defined, this implies prepending a filter type byte to each scanline.)
  3. Compress the filtered data using the compression method specified by the IHDR chunk.
The IDAT chunk contains the output datastream of the compression algorithm.

To read the image data, reverse this process.

There can be multiple IDAT chunks; if so, they must appear consecutively with no other intervening chunks. The compressed datastream is then the concatenation of the contents of all the IDAT chunks. The encoder can divide the compressed datastream into IDAT chunks however it wishes. (Multiple IDAT chunks are allowed so that encoders can work in a fixed amount of memory; typically the chunk size will correspond to the encoder's buffer size.) It is important to emphasize that IDAT chunk boundaries have no semantic significance and can occur at any point in the compressed datastream. A PNG file in which each IDAT chunk contains only one data byte is legal, though remarkably wasteful of space. (For that matter, zero-length IDAT chunks are legal, though even more wasteful.)

See Chapter 6, Filter Algorithms and Chapter 5, Deflate/Inflate Compression for details.

4.1.4. IEND Image Trailer

This chunk must appear LAST. It marks the end of the PNG datastream. The chunk's data field is empty.

4.2. Ancillary Chunks

All ancillary chunks are optional, in the sense that encoders need not write them and decoders can ignore them. However, encoders are encouraged to write the standard ancillary chunks when the information is available, and decoders are encouraged to interpret these chunks when appropriate and feasible.

The standard ancillary chunks are listed in alphabetical order. This is not necessarily the order in which they would appear in a file.

4.2.1. bKGD Background Color

This chunk specifies a default background color to present the image against. Note that viewers are not bound to honor this chunk; a viewer can choose to use a different background.

For color type 3 (indexed color), the bKGD chunk contains:

   Palette index:  1 byte
The value is the palette index of the color to be used as background.

For color types 0 and 4 (grayscale, with or without alpha), bKGD contains:

   Gray:  2 bytes, range 0 .. (2^bitdepth)-1
(For consistency, 2 bytes are used regardless of the image bit depth.) The value is the gray level to be used as background.

For color types 2 and 6 (truecolor, with or without alpha), bKGD contains:

   Red:   2 bytes, range 0 .. (2^bitdepth)-1
   Green: 2 bytes, range 0 .. (2^bitdepth)-1
   Blue:  2 bytes, range 0 .. (2^bitdepth)-1
(For consistency, 2 bytes per sample are used regardless of the image bit depth.) This is the RGB color to be used as background.

When present, the bKGD chunk must precede the first IDAT chunk, and must follow the PLTE chunk, if any.

See Recommendations for Decoders: Section 10.7, Background color.

4.2.2. cHRM Primary Chromaticities and White Point

Applications that need device-independent specification of colors in a PNG file can use this chunk to specify the 1931 CIE x,y chromaticities of the red, green, and blue primaries used in the image, and the referenced white point. See Chapter 14, Color Tutorial for more information.

The chunk layout is:

   White Point x: 4 bytes
   White Point y: 4 bytes
   Red x:         4 bytes
   Red y:         4 bytes
   Green x:       4 bytes
   Green y:       4 bytes
   Blue x:        4 bytes
   Blue y:        4 bytes
Each value is encoded as a 4-byte unsigned integer, representing the x or y value times 100000. For example, a value of 0.3127 would be stored as the integer 31270.

cHRM is allowed in all PNG files, although it is of little value for grayscale images.

If the encoder does not know the chromaticity values, it should not write a cHRM chunk; the absence of the cHRM chunk indicates that the image's primary colors are device-dependent.

If the cHRM chunk appears, it must precede the first IDAT chunk, and it must also precede the PLTE chunk if present.

See Recommendations for Encoders: Section 9.3, Encoder color handling, and Recommendations for Decoders: Section 10.6, Decoder color handling.

4.2.3. gAMA Image Gamma

The gAMA chunk specifies the gamma of the camera (or simulated camera) that produced the image, and thus the gamma of the image with respect to the original scene. More precisely, the gAMA chunk encodes the file_gamma value, as defined in Chapter 13, Gamma Tutorial.

The chunk's contents are:

   Image gamma: 4 bytes
The value is encoded as a 4-byte unsigned integer, representing gamma times 100000. For example, a gamma of 0.45 would be stored as the integer 45000.

If the encoder does not know the gamma value, it should not write a gamma chunk; the absence of a gamma chunk indicates the gamma is unknown.

If the gAMA chunk appears, it must precede the first IDAT chunk, and it must also precede the PLTE chunk if present.

See Section 2.7, Gamma correction, Recommendations for Encoders: Section 9.2, Encoder gamma handling, and Recommendations for Decoders: Section 10.5, Decoder gamma handling.

4.2.4. hIST Image Histogram

The histogram chunk gives the approximate usage frequency of each color in the color palette. A histogram chunk can appear only when a palette chunk appears. If a viewer is unable to provide all the colors listed in the palette, the histogram may help it decide how to choose a subset of the colors for display.

This chunk's contents are a series of 2-byte (16 bit) unsigned integers. There must be exactly one entry for each entry in the PLTE chunk. Each entry is proportional to the fraction of pixels in the image that have that palette index; the exact scale factor is chosen by the encoder.

Histogram entries are approximate, with the exception that a zero entry specifies that the corresponding palette entry is not used at all in the image. It is required that a histogram entry be nonzero if there are any pixels of that color.

When the palette is a suggested quantization of a truecolor image, the histogram is necessarily approximate, since a decoder may map pixels to palette entries differently than the encoder did. In this situation, zero entries should not appear.

The hIST chunk, if it appears, must follow the PLTE chunk, and must precede the first IDAT chunk.

See Rationale: Section 12.14, Palette histograms, and Recommendations for Decoders: Section 10.10, Suggested-palette and histogram usage.

4.2.5. pHYs Physical Pixel Dimensions

This chunk specifies the intended resolution for display of the image. The chunk's contents are:
   Pixels per unit, X axis: 4 bytes (unsigned integer)
   Pixels per unit, Y axis: 4 bytes (unsigned integer)
   Unit specifier:          1 byte
The following values are legal for the unit specifier:
   0: unit is unknown
   1: unit is the meter
When the unit specifier is 0, the pHYs chunk defines pixel aspect ratio only; the actual size of the pixels remains unspecified.

Conversion note: one inch is equal to exactly 0.0254 meters.

If this ancillary chunk is not present, pixels are assumed to be square, and the physical size of each pixel is unknown.

If present, this chunk must precede the first IDAT chunk.

See Recommendations for Decoders: Section 10.2, Pixel dimensions.

4.2.6. sBIT Significant Bits

To simplify decoders, PNG specifies that only certain sample bit depths can be used, and further specifies that sample values should be scaled to the full range of possible values at that bit depth. However, the sBIT chunk is provided in order to store the original number of significant bits. This allows decoders to recover the original data losslessly even if it had a bit depth not directly supported by PNG. We recommend that an encoder emit an sBIT chunk if it has converted the data from a lower bit depth.

For color type 0 (grayscale), the sBIT chunk contains a single byte, indicating the number of bits that were significant in the source data.

For color type 2 (truecolor), the sBIT chunk contains three bytes, indicating the number of bits that were significant in the source data for the red, green, and blue channels, respectively.

For color type 3 (indexed color), the sBIT chunk contains three bytes, indicating the number of bits that were significant in the source data for the red, green, and blue components of the palette entries, respectively.

For color type 4 (grayscale with alpha channel), the sBIT chunk contains two bytes, indicating the number of bits that were significant in the source grayscale data and the source alpha data, respectively.

For color type 6 (truecolor with alpha channel), the sBIT chunk contains four bytes, indicating the number of bits that were significant in the source data for the red, green, blue and alpha channels, respectively.

Each depth specified in sBIT must be greater than zero and less than or equal to the sample depth (which is 8 for indexed-color images, and the bit depth given in IHDR for other color types).

A decoder need not pay attention to sBIT: the stored image is a valid PNG file of the sample depth indicated by IHDR. However, if the decoder wishes to recover the original data at its original precision, this can be done by right-shifting the stored samples (the stored palette entries, for an indexed-color image). The encoder must scale the data in such a way that the high-order bits match the original data.

If the sBIT chunk appears, it must precede the first IDAT chunk, and it must also precede the PLTE chunk if present.

See Recommendations for Encoders: Section 9.1, Bit depth scaling and Recommendations for Decoders: Section 10.4, Bit depth rescaling.

4.2.7. tEXt Textual Data

Any textual information that the encoder wishes to record with the image is stored in tEXt chunks. Each tEXt chunk contains a keyword and a text string, in the format:
   Keyword:        1-79 bytes (character string)
   Null separator: 1 byte
   Text:           n bytes (character string)
The keyword and text string are separated by a zero byte (null character). Neither the keyword nor the text string can contain a null character. Note that the text string is not null-terminated (the length of the chunk is sufficient information to locate the ending). The keyword must be at least one character and less than 80 characters long. The text string can be of any length from zero bytes up to the maximum permissible chunk size less the length of the keyword and separator.

Any number of tEXt chunks can appear, and more than one with the same keyword is permissible.

The keyword indicates the type of information represented by the text string. The following keywords are predefined and should be used where appropriate:

   Title            Short (one line) title or caption for image
   Author           Name of image's creator
   Description      Description of image (possibly long)
   Copyright        Copyright notice
   Creation Time    Time of original image creation
   Software         Software used to create the image
   Disclaimer       Legal disclaimer
   Warning          Warning of nature of content
   Source           Device used to create the image
   Comment          Miscellaneous comment; conversion from
                    GIF comment
For the Creation Time keyword, the date format defined in section 5.2.14 of RFC 1123 is suggested, but not required [RFC-1123]. Decoders should allow for free-format text associated with this or any other keyword.

Other keywords may be invented for other purposes. Keywords of general interest can be registered with the maintainers of the PNG specification. However, it is also permitted to use private unregistered keywords. (Private keywords should be reasonably self-explanatory, in order to minimize the chance that the same keyword will be used for incompatible purposes by different people.)

Both keyword and text are interpreted according to the ISO 8859-1 (Latin-1) character set [ISO-8859]. The text string can contain any Latin-1 character. Newlines in the text string should be represented by a single linefeed character (decimal 10); use of other control characters in the text is discouraged.

Keywords can contain only printable Latin-1 characters and spaces; that is, only character codes 32-126 and 161-255 decimal are allowed. To reduce the chances for human misreading of a keyword, leading and trailing spaces are forbidden, as are consecutive spaces. Note also that the non-breaking space (code 160) is not permitted in keywords, since it is visually indistinguishable from an ordinary space.

Keywords must be spelled exactly as registered, so that decoders can use simple literal comparisons when looking for particular keywords. In particular, keywords are considered case-sensitive.

See Recommendations for Encoders: Section 9.7, Text chunk processing and Recommendations for Decoders: Section 10.11, Text chunk processing.

4.2.8. tIME Image Last-Modification Time

This chunk gives the time of the last image modification (not the time of initial image creation). The chunk contents are:
   Year:   2 bytes (complete; for example, 1995, not 95)
   Month:  1 byte (1-12)
   Day:    1 byte (1-31)
   Hour:   1 byte (0-23)
   Minute: 1 byte (0-59)
   Second: 1 byte (0-60)    (yes, 60, for leap seconds; not 61,
                             a common error)
Universal Time (UTC, also called GMT) should be specified rather than local time.

The tIME chunk is intended for use as an automatically-applied time stamp that is updated whenever the image data is changed. It is recommended that tIME not be changed by PNG editors that do not change the image data. See also the Creation Time tEXt keyword, which can be used for a user-supplied time.

4.2.9. tRNS Transparency

Transparency is an alternative to the full alpha channel. Although transparency is not as elegant as the full alpha channel, it requires less storage space and is sufficient for many common cases.

For color type 3 (indexed color), this chunk's contents are a series of one-byte alpha values, corresponding to entries in the PLTE chunk:

   Alpha for palette index 0:  1 byte
   Alpha for palette index 1:  1 byte
   ... etc ...
Each entry indicates that pixels of that palette index should be treated as having the specified alpha value. Alpha values have the same interpretation as in an 8-bit full alpha channel: 0 is fully transparent, 255 is fully opaque, regardless of image bit depth. The tRNS chunk must not contain more alpha values than there are palette entries, but tRNS can contain fewer values than there are palette entries. In this case, the alpha value for all remaining palette entries is assumed to be 255. In the common case where only palette index 0 need be made transparent, only a one-byte tRNS chunk is needed.

For color type 0 (grayscale), the tRNS chunk contains a single gray level value, stored in the format

   Gray:  2 bytes, range 0 .. (2^bitdepth)-1
(For consistency, 2 bytes are used regardless of the image bit depth.) Pixels of the specified gray level are to be treated as transparent (equivalent to alpha value 0); all other pixels are to be treated as fully opaque (alpha value (2^bitdepth)-1).

For color type 2 (truecolor), the tRNS chunk contains a single RGB color value, stored in the format

   Red:   2 bytes, range 0 .. (2^bitdepth)-1
   Green: 2 bytes, range 0 .. (2^bitdepth)-1
   Blue:  2 bytes, range 0 .. (2^bitdepth)-1
(For consistency, 2 bytes per sample are used regardless of the image bit depth.) Pixels of the specified color value are to be treated as transparent (equivalent to alpha value 0); all other pixels are to be treated as fully opaque (alpha value (2^bitdepth)-1).

tRNS is prohibited for color types 4 and 6, since a full alpha channel is already present in those cases.

Note: when dealing with 16-bit grayscale or truecolor data, it is important to compare both bytes of the sample values to determine whether a pixel is transparent. Although decoders may drop the low-order byte of the samples for display, this must not occur until after the data has been tested for transparency. For example, if the grayscale level 0x0001 is specified to be transparent, it would be incorrect to compare only the high-order byte and decide that 0x0002 is also transparent.

When present, the tRNS chunk must precede the first IDAT chunk, and must follow the PLTE chunk, if any.

4.2.10. zTXt Compressed Textual Data

A zTXt chunk contains textual data, just as tEXt does; however, zTXt takes advantage of compression. zTXt and tEXt chunks are semantically equivalent, but zTXt is recommended for storing large blocks of text.

A zTXt chunk begins with an uncompressed Latin-1 keyword followed by a null (0) character, just as in the tEXt chunk. The next byte after the null contains a compression method byte, for which the only presently legitimate value is zero (deflate/inflate compression). The compression-method byte is followed by a compressed datastream that makes up the remainder of the chunk. For compression method zero, this datastream adheres to the zlib datastream format (see Chapter 5, Deflate/Inflate Compression). Decompression of this datastream yields Latin-1 text that is identical to the text that would be stored in an equivalent tEXt chunk.

Any number of zTXt and tEXt chunks can appear in the same file. See the preceding definition of the tEXt chunk for the predefined keywords and the recommended format of the text.

See Recommendations for Encoders: Section 9.7, Text chunk processing, and Recommendations for Decoders: Section 10.11, Text chunk processing.

4.3. Summary of Standard Chunks

This table summarizes some properties of the standard chunk types.
   Critical chunks (must appear in this order, except PLTE
                    is optional):
   
           Name  Multiple  Ordering constraints
                   OK?
   
           IHDR    No      Must be first
           PLTE    No      Before IDAT
           IDAT    Yes     Multiple IDATs must be consecutive
           IEND    No      Must be last
   
   Ancillary chunks (need not appear in this order):
   
           Name  Multiple  Ordering constraints
                   OK?
   
           cHRM    No      Before PLTE and IDAT
           gAMA    No      Before PLTE and IDAT
           sBIT    No      Before PLTE and IDAT
           bKGD    No      After PLTE; before IDAT
           hIST    No      After PLTE; before IDAT
           tRNS    No      After PLTE; before IDAT
           pHYs    No      Before IDAT
           tIME    No      None
           tEXt    Yes     None
           zTXt    Yes     None

Standard keywords for tEXt and zTXt chunks:

   Title            Short (one line) title or caption for image
   Author           Name of image's creator
   Description      Description of image (possibly long)
   Copyright        Copyright notice
   Creation Time    Time of original image creation
   Software         Software used to create the image
   Disclaimer       Legal disclaimer
   Warning          Warning of nature of content
   Source           Device used to create the image
   Comment          Miscellaneous comment; conversion from
                    GIF comment

4.4. Additional Chunk Types

Additional public PNG chunk types are defined in the document "PNG Special-Purpose Public Chunks" [PNG-EXTENSIONS]. Chunks described there are expected to be less widely supported than those defined in this specification. However, application authors are encouraged to use those chunk types whenever appropriate for their applications. Additional chunk types can be proposed for inclusion in that list by contacting the PNG specification maintainers at png-info@uunet.uu.net.

New public chunks will only be registered if they are of use to others and do not violate the design philosophy of PNG. Chunk registration is not automatic, although it is the intent of the authors that it be straightforward when a new chunk of potentially wide application is needed. Note that the creation of new critical chunk types is discouraged unless absolutely necessary.

Applications can also use private chunk types to carry data that is not of interest to other applications. See Recommendations for Encoders: Section 9.8, Use of private chunks.

Decoders must be prepared to encounter unrecognized public or private chunk type codes. Unrecognized chunk types must be handled as described in Section 3.3, Chunk naming conventions.

5. Deflate/Inflate Compression

PNG compression method 0 (the only compression method presently defined for PNG) specifies deflate/inflate compression with a 32K sliding window. Deflate compression is an LZ77 derivative used in zip, gzip, pkzip and related programs. Extensive research has been done supporting its patent-free status. Portable C implementations are freely available.

Deflate-compressed datastreams within PNG are stored in the "zlib" format, which has the structure:

   Compression method/flags code: 1 byte
   Additional flags/check bits:   1 byte
   Compressed data blocks:        n bytes
   Check value:                   4 bytes
Further details on this format can be found in the zlib specification [ZLIB].

For PNG compression method 0, the zlib compression method/flags code must specify method code 8 ("deflate" compression) and an LZ77 window size of not more than 32K. Note that the zlib compression method number is unrelated to the PNG compression method number.

The compressed data within the zlib datastream is stored as a series of blocks, each of which can represent raw (uncompressed) data, LZ77-compressed data encoded with fixed Huffman codes, or LZ77-compressed data encoded with custom Huffman codes. A marker bit in the final block identifies it as the last block, allowing the decoder to recognize the end of the compressed datastream. Further details on the compression algorithm and the encoding can be found in the deflate specification [DEFLATE].

The check value stored at the end of the zlib datastream is calculated on the uncompressed data represented by the datastream. Note that the algorithm used is not the same as the CRC calculation used for PNG chunk check values. The zlib check value is useful mainly as a cross-check that the deflate and inflate algorithms are implemented correctly. Verifying the chunk CRCs provides adequate confidence that the PNG file has been transmitted undamaged.

In a PNG file, the concatenation of the contents of all the IDAT chunks makes up a zlib datastream as specified above. This datastream decompresses to filtered image data as described elsewhere in this document.

It is important to emphasize that the boundaries between IDAT chunks are arbitrary and can fall anywhere in the zlib datastream. There is not necessarily any correlation between IDAT chunk boundaries and deflate block boundaries or any other feature of the zlib data. For example, it is entirely possible for the terminating zlib check value to be split across IDAT chunks.

In the same vein, there is no required correlation between the structure of the image data (i.e., scanline boundaries) and deflate block boundaries or IDAT chunk boundaries. The complete image data is represented by a single zlib datastream that is stored in some number of IDAT chunks; a decoder that assumes any more than this is incorrect. (Of course, some encoder implementations may emit files in which some of these structures are indeed related. But decoders cannot rely on this.)

PNG also uses zlib datastreams in zTXt chunks. In a zTXt chunk, the remainder of the chunk following the compression method code byte is a zlib datastream as specified above. This datastream decompresses to the user-readable text described by the chunk's keyword. Unlike the image data, such datastreams are not split across chunks; each zTXt chunk contains an independent zlib datastream.

Additional documentation and portable C code for deflate and inflate are available from the Info-Zip archives at <URL:ftp://ftp.uu.net/pub/archiving/zip/>.

6. Filter Algorithms

This chapter describes the filtering algorithms that can be applied before compression. The purpose of these filters is to prepare the image data for optimum compression.

PNG filter method zero defines five basic filtering algorithms, which are given numeric codes as follows:

   Code    Name
   
   0       None
   1       Sub
   2       Up
   3       Average
   4       Paeth
(Note that filter method code zero in IHDR specifies exactly this set of five filter types. If the set of filter types is ever extended, a different filter method code will be assigned to the extended set, so that decoders need not decompress the data to discover that it contains unsupported filter type codes.)

The encoder can choose which of these filter algorithms to apply on a scanline-by-scanline basis. In the image data sent to the compression step, each scanline is preceded by a filter type byte containing the numeric code of the filter algorithm used for that scanline.

Filtering algorithms are applied to bytes, not to pixels, regardless of the bit depth or color type of the image. The filtering algorithms work on the byte sequence formed by a scanline that has been represented as described in Section 2.3, Image layout. If the image includes an alpha channel, the alpha data is filtered in the same way as the image data.

When the image is interlaced, each pass of the interlace pattern is treated as an independent image for filtering purposes. The filters work on the byte sequences formed by the pixels actually transmitted during a pass, and the "previous scanline" is the one previously transmitted in the same pass, not the one adjacent in the complete image. Note that the subimage transmitted in any one pass is always rectangular, but is of smaller width and/or height than the complete image. Filtering is not applied when this subimage is empty.

For all filters, the bytes "to the left of" the first pixel in a scanline must be treated as being zero. For filters that refer to the prior scanline, the entire prior scanline must be treated as being zeroes for the first scanline of an image (or of a pass of an interlaced image).

To reverse the effect of a filter, the decoder must use the decoded values of the prior pixel on the same line, the pixel immediately above the current pixel on the prior line, and the pixel just to the left of the pixel above. This implies that at least one scanline's worth of image data must be stored by the decoder at all times. Even though some filter types do not refer to the prior scanline, the decoder must always store each scanline as it is decoded, since the next scanline might use a filter that refers to it.

PNG imposes no restriction on which filter types can be applied to an image. However, the filters are not equally effective on all types of data. See Recommendations for Encoders: Section 9.6, Filter selection.

See also Rationale: Section 12.9, Filtering.

6.1. Filter type 0: None

With the None filter, the scanline is transmitted unmodified; it is only necessary to insert a filter type byte before the data.

6.2. Filter type 1: Sub

The Sub filter transmits the difference between each byte and the value of the corresponding byte of the prior pixel.

To compute the Sub filter, apply the following formula to each byte of the scanline:

   Sub(x) = Raw(x) - Raw(x-bpp)
where x ranges from zero to the number of bytes representing the scanline minus one, Raw(x) refers to the raw data byte at that byte position in the scanline, and bpp is defined as the number of bytes per complete pixel, rounding up to one. For example, for color type 2 with a bit depth of 16, bpp is equal to 6 (three samples, two bytes per sample); for color type 0 with a bit depth of 2, bpp is equal to 1 (rounding up); for color type 4 with a bit depth of 16, bpp is equal to 4 (two-byte grayscale sample, plus two-byte alpha sample).

Note this computation is done for each byte, regardless of bit depth. In a 16-bit image, MSBs are differenced from the preceding MSB and LSBs are differenced from the preceding LSB, because of the way that bpp is defined.

Unsigned arithmetic modulo 256 is used, so that both the inputs and outputs fit into bytes. The sequence of Sub values is transmitted as the filtered scanline.

For all x < 0, assume Raw(x) = 0.

To reverse the effect of the Sub filter after decompression, output the following value:

   Sub(x) + Raw(x-bpp)
(computed mod 256), where Raw refers to the bytes already decoded.

6.3. Filter type 2: Up

The Up filter is just like the Sub filter except that the pixel immediately above the current pixel, rather than just to its left, is used as the predictor.

To compute the Up filter, apply the following formula to each byte of the scanline:

   Up(x) = Raw(x) - Prior(x)
where x ranges from zero to the number of bytes representing the scanline minus one, Raw(x) refers to the raw data byte at that byte position in the scanline, and Prior(x) refers to the unfiltered bytes of the prior scanline.

Note this is done for each byte, regardless of bit depth. Unsigned arithmetic modulo 256 is used, so that both the inputs and outputs fit into bytes. The sequence of Up values is transmitted as the filtered scanline.

On the first scanline of an image (or of a pass of an interlaced image), assume Prior(x) = 0 for all x.

To reverse the effect of the Up filter after decompression, output the following value:

   Up(x) + Prior(x)
(computed mod 256), where Prior refers to the decoded bytes of the prior scanline.

6.4. Filter type 3: Average

The Average filter uses the average of the two neighboring pixels (left and above) to predict the value of a pixel.

To compute the Average filter, apply the following formula to each byte of the scanline:

   Average(x) = Raw(x) - floor((Raw(x-bpp)+Prior(x))/2)
where x ranges from zero to the number of bytes representing the scanline minus one, Raw(x) refers to the raw data byte at that byte position in the scanline, Prior(x) refers to the unfiltered bytes of the prior scanline, and bpp is defined as for the Sub filter.

Note this is done for each byte, regardless of bit depth. The sequence of Average values is transmitted as the filtered scanline.

The subtraction of the predicted value from the raw byte must be done modulo 256, so that both the inputs and outputs fit into bytes. However, the sum Raw(x-bpp)+Prior(x) must be formed without overflow (using at least nine-bit arithmetic). floor() indicates that the result of the division is rounded to the next lower integer if fractional; in other words, it is an integer division or right shift operation.

For all x < 0, assume Raw(x) = 0. On the first scanline of an image (or of a pass of an interlaced image), assume Prior(x) = 0 for all x.

To reverse the effect of the Average filter after decompression, output the following value:

   Average(x) + floor((Raw(x-bpp)+Prior(x))/2)
where the result is computed mod 256, but the prediction is calculated in the same way as for encoding. Raw refers to the bytes already decoded, and Prior refers to the decoded bytes of the prior scanline.

6.5. Filter type 4: Paeth

The Paeth filter computes a simple linear function of the three neighboring pixels (left, above, upper left), then chooses as predictor the neighboring pixel closest to the computed value. This technique is due to Alan W. Paeth [PAETH].

To compute the Paeth filter, apply the following formula to each byte of the scanline:

   Paeth(x) = Raw(x) - PaethPredictor(Raw(x-bpp), Prior(x),
                                      Prior(x-bpp))
where x ranges from zero to the number of bytes representing the scanline minus one, Raw(x) refers to the raw data byte at that byte position in the scanline, Prior(x) refers to the unfiltered bytes of the prior scanline, and bpp is defined as for the Sub filter.

Note this is done for each byte, regardless of bit depth. Unsigned arithmetic modulo 256 is used, so that both the inputs and outputs fit into bytes. The sequence of Paeth values is transmitted as the filtered scanline.

The PaethPredictor function is defined by the following pseudocode:

   function PaethPredictor (a, b, c)
   begin
        ; a = left, b = above, c = upper left
        p := a + b - c        ; initial estimate
        pa := abs(p - a)      ; distances to a, b, c
        pb := abs(p - b)
        pc := abs(p - c)
        ; return nearest of a,b,c,
        ; breaking ties in order a,b,c.
        if pa <= pb AND pa <= pc
        begin
             return a
        end
        if pb <= pc
        begin
             return b
        end
        return c
   end
The calculations within the PaethPredictor function must be performed exactly, without overflow. Arithmetic modulo 256 is to be used only for the final step of subtracting the function result from the target byte value.

Note that the order in which ties are broken is fixed and must not be altered. The tie break order is: pixel to the left, pixel above, pixel to the upper left. (This order differs from that given in Paeth's article.)

For all x < 0, assume Raw(x) = 0 and Prior(x) = 0. On the first scanline of an image (or of a pass of an interlaced image), assume Prior(x) = 0 for all x.

To reverse the effect of the Paeth filter after decompression, output the following value:

   Paeth(x) + PaethPredictor(Raw(x-bpp), Prior(x), Prior(x-bpp))
(computed mod 256), where Raw and Prior refer to bytes already decoded. Exactly the same PaethPredictor function is used by both encoder and decoder.

7. Chunk Ordering Rules

To allow new chunk types to be added to PNG, it is necessary to establish rules about the ordering requirements for all chunk types. Otherwise a PNG editing program cannot know what to do when it encounters an unknown chunk.

We define a "PNG editor" as a program that modifies a PNG file and wishes to preserve as much as possible of the ancillary information in the file. Two examples of PNG editors are a program that adds or modifies text chunks, and a program that adds a suggested palette to a truecolor PNG file. Ordinary image editors are not PNG editors in this sense, because they usually discard all unrecognized information while reading in an image. (Note: we strongly encourage programs handling PNG files to preserve ancillary information whenever possible.)

As an example of possible problems, consider a hypothetical new ancillary chunk type that is safe-to-copy and is required to appear after PLTE if PLTE is present. If our program to add a suggested PLTE does not recognize this new chunk, it may insert PLTE in the wrong place, namely after the new chunk. We could prevent such problems by requiring PNG editors to discard all unknown chunks, but that is a very unattractive solution. Instead, PNG requires ancillary chunks not to have ordering restrictions like this.

To prevent this type of problem while allowing for future extension, we put some constraints on both the behavior of PNG editors and the allowed ordering requirements for chunks.

7.1. Behavior of PNG editors

The rules for PNG editors are:
  1. When copying an unknown unsafe-to-copy ancillary chunk, a PNG editor must not move the chunk relative to any critical chunk. It can relocate the chunk freely relative to other ancillary chunks that occur between the same pair of critical chunks. (This is well defined since the editor must not add, delete, modify, or reorder critical chunks if it is preserving unsafe-to-copy chunks.)
  2. When copying an unknown safe-to-copy ancillary chunk, a PNG editor must not move the chunk from before IDAT to after IDAT or vice versa. (This is well defined because IDAT is always present.) Any other reordering is permitted.
  3. When copying a known ancillary chunk type, an editor need only honor the specific chunk ordering rules that exist for that chunk type. However, it can always choose to apply the above general rules instead.
  4. PNG editors must give up on encountering an unknown critical chunk type, because there is no way to be certain that a valid file will result from modifying a file containing such a chunk. (Note that simply discarding the chunk is not good enough, because it might have unknown implications for the interpretation of other chunks.)
These rules are expressed in terms of copying chunks from an input file to an output file, but they apply in the obvious way if a PNG file is modified in place.

See also Section 3.3, Chunk naming conventions.

7.2. Ordering of ancillary chunks

The ordering rules for an ancillary chunk type cannot be any stricter than this: The actual ordering rules for any particular ancillary chunk type may be weaker. See for example the ordering rules for the standard ancillary chunk types (Section 4.3, Summary of Standard Chunks).

Decoders must not assume more about the positioning of any ancillary chunk than is specified by the chunk ordering rules. In particular, it is never valid to assume that a specific ancillary chunk type occurs with any particular positioning relative to other ancillary chunks. (For example, it is unsafe to assume that your private ancillary chunk occurs immediately before IEND. Even if your application always writes it there, a PNG editor might have inserted some other ancillary chunk after it. But you can safely assume that your chunk will remain somewhere between IDAT and IEND.)

7.3. Ordering of critical chunks

Critical chunks can have arbitrary ordering requirements, because PNG editors are required to give up if they encounter unknown critical chunks. For example, IHDR has the special ordering rule that it must always appear first. A PNG editor, or indeed any PNG-writing program, must know and follow the ordering rules for any critical chunk type that it can emit.

8. Miscellaneous Topics

8.1. File name extension

On systems where file names customarily include an extension signifying file type, the extension ".png" is recommended for PNG files. Lower case ".png" is preferred if file names are case-sensitive.

8.2. Internet media type

The PNG authors intend to register "image/png" as the Internet Media Type for PNG [RFC-1521, RFC-1590]. At the date of this document, the media type registration process had not been completed. It is recommended that implementations also recognize the interim media type "image/x-png".

8.3. Macintosh file layout

In the Apple Macintosh system, the following conventions are recommended:

8.4. Multiple-image extension

PNG itself is strictly a single-image format. However, it may be necessary to store multiple images within one file; for example, this is needed to convert some GIF files. In the future, a multiple-image format based on PNG may be defined. Such a format will be considered a separate file format and will have a different signature. PNG-supporting applications may or may not choose to support the multiple-image format.

See Rationale: Section 12.3, Why not these features?.

8.5. Security considerations

A PNG file or datastream is composed of a collection of explicitly typed "chunks". Chunks whose contents are defined by the specification could actually contain anything, including malicious code. But there is no known risk that such malicious code could be executed on the recipient's computer as a result of decoding the PNG image.

The possible security risks associated with future chunk types cannot be specified at this time. Security issues will be considered when evaluating chunks proposed for registration as public chunks. There is no additional security risk associated with unknown or unimplemented chunk types, because such chunks will be ignored, or at most be copied into another PNG file.

The tEXt and zTXt chunks contain data that is meant to be displayed as plain text. It is possible that if the decoder displays such text without filtering out control characters, especially the ESC (escape) character, certain systems or terminals could behave in undesirable and insecure ways. We recommend that decoders filter out control characters to avoid this risk; see Recommendations for Decoders: Section 10.11, Text chunk processing.

Because every chunk's length is available at its beginning, and because every chunk has a CRC trailer, there is a very robust defense against corrupted data and against fraudulent chunks that attempt to overflow the viewer's buffers. Also, the PNG signature bytes provide early detection of common file transmission errors.

A decoder that fails to check CRCs could be subject to data corruption. The only likely consequence of such corruption is incorrectly displayed pixels within the image. Worse things might happen if the CRC of the IHDR chunk is not checked and the width or height fields are corrupted. See Recommendations for Decoders: Section 10.1, Error checking.

A poorly written decoder might be subject to buffer overflow, because chunks can be extremely large, up to (2^31)-1 bytes long. But properly written decoders will handle large chunks without difficulty.

9. Recommendations for Encoders

This chapter gives some recommendations for encoder behavior. The only absolute requirement on a PNG encoder is that it produce files that conform to the format specified in the preceding chapters. However, best results will usually be achieved by following these recommendations.

9.1. Bit depth scaling

When encoding input samples that have a bit depth that cannot be directly represented in PNG, the encoder must scale the samples up to a bit depth that is allowed by PNG. The most accurate scaling method is the linear equation
   output = ROUND(input * MAXOUTSAMPLE / MAXINSAMPLE)
where the input samples range from 0 to MAXINSAMPLE and the outputs range from 0 to MAXOUTSAMPLE (which is (2^bitdepth)-1).

A close approximation to the linear scaling method can be achieved by "left bit replication", which is shifting the valid bits to begin in the most significant bit and repeating the most significant bits into the open bits. This method is often faster to compute than linear scaling. As an example, assume that 5-bit samples are being scaled up to 8 bits. If the source sample value is 27 (in the range from 0-31), then the original bits are:

   4 3 2 1 0
   ---------
   1 1 0 1 1
Left bit replication gives a value of 222:
   7 6 5 4 3  2 1 0
   ----------------
   1 1 0 1 1  1 1 0
   |=======|  |===|
       |      Leftmost Bits Repeated to Fill Open Bits
       |
   Original Bits
which matches the value computed by the linear equation. Left bit replication usually gives the same value as linear scaling, and is never off by more than one.

A distinctly less accurate approximation is obtained by simply left-shifting the input value and filling the low order bits with zeroes. This scheme cannot reproduce white exactly, since it does not generate an all-ones maximum value; the net effect is to darken the image slightly. This method is not recommended in general, but it does have the effect of improving compression, particularly when dealing with greater-than-eight-bit sample depths. Since the relative error introduced by zero-fill scaling is small at high bit depths, some encoders may choose to use it. Zero-fill should not be used for alpha channel data, however, since many decoders will special-case alpha values of all zeroes and all ones. It is important to represent both those values exactly in the scaled data.

When the encoder writes an sBIT chunk, it is required to do the scaling in such a way that the high-order bits of the stored samples match the original data. That is, if the sBIT chunk specifies a bit depth of S, the high-order S bits of the stored data must agree with the original S-bit data values. This allows decoders to recover the original data by shifting right. The added low-order bits are not constrained. Note that all the above scaling methods meet this restriction.

When scaling up source data, it is recommended that the low-order bits be filled consistently for all samples; that is, the same source value should generate the same sample value at any pixel position. This improves compression by reducing the number of distinct sample values. However, this is not a requirement, and some encoders may choose not to follow it. For example, an encoder might instead dither the low-order bits, improving displayed image quality at the price of increasing file size.

In some applications the original source data may have a range that is not a power of 2. The linear scaling equation still works for this case, although the shifting methods do not. It is recommended that an sBIT chunk not be written for such images, since sBIT suggests that the original data range was exactly 0..2^S-1.

9.2. Encoder gamma handling

See Chapter 13, Gamma Tutorial if you aren't already familiar with gamma issues.

If it is possible for the encoder to determine the image gamma, or to make a strong guess based on the hardware on which it runs, then the encoder is strongly encouraged to output the gAMA chunk.

Digitized video has a gamma of 0.45 --- camera transfer functions are standardized.

In the case of hand-drawn images, you have to determine what conditions they were viewed under when being drawn, and then determine the file_gamma value by calculating

   file_gamma = viewing_gamma / display_gamma
For example, suppose someone created a piece of artwork on a Macintosh with the default display_gamma, which is 1.8 on that system. The room was dim at the time, so the appropriate viewing_gamma is about 1.2. The file_gamma is 0.667.

If the encoder is compiled as a portion of a computer image renderer and has access to sample intensity values in floating-point (or high-precision integer) form, it is recommended that the encoder perform its own gamma encoding before quantizing the data to integer values for storage in the file. Applying gamma encoding at this stage results in images with fewer banding artifacts at the same sample bit depth, or allows smaller samples while retaining the same quality.

A linear intensity level, expressed as a floating-point value in the range 0 to 1, can be converted to a gamma-corrected sample value by

   sample = ROUND((intensity ^ encoder_gamma) * MAXSAMPLEVAL)
The file_gamma value written in the PNG gAMA chunk is the same as encoder_gamma in this equation, since we are assuming the initial intensity value is linear (in effect, camera_gamma is 1.0).

If the renderer is simultaneously displaying pixels on the screen and writing them to the file, it can calculate an encoder_gamma value that gives correct display using

   encoder_gamma = viewing_gamma / display_gamma
This will allow PNG viewers to reproduce what is being shown on screen.

If the image is being written to a file only, the encoder_gamma value can be selected somewhat arbitrarily. A value of 0.45 is generally a good choice because of its use in video systems.

Computer graphics renderers often do not perform gamma encoding, instead making sample values directly proportional to scene brightness. This "linear" sample encoding is equivalent to gamma encoding with a gamma of 1.0, so graphics programs that output linear samples should always emit a gAMA chunk specifying a gamma of 1.0.

There are often cases where an image's exact origins are unknown, particularly if it began life as a GIF or TIFF or some other file format, and someone other than the original author is converting it to PNG. In these cases, all that can be done is to make the image look good on whatever system is being used for the conversion, and then follow the same rules as given for hand-drawn images above. For example, if I have an image that looks good on my SGI workstation when the system gamma is set to 1.7, and I'm looking at the monitor in a bright room, then display_gamma is 2.5/1.7=1.47, viewing_gamma is 1.0, and file_gamma is 1.0/1.47 = 0.68.

File format converters should not attempt to convert supplied images to a different gamma. Store the data in the PNG file without conversion, and record the source gamma if it is known. Gamma alteration at file conversion time is a bad idea because gamma adjustment of digitized data is inherently lossy, due to roundoff error. (8 or so bits is not really enough accuracy.) Thus conversion-time gamma change permanently degrades the image. Worse, if the eventual decoder wants the data with some other gamma, then two conversions occur, each introducing roundoff error. Better to store the data losslessly and incur at most one conversion when the image is finally displayed.

Gamma does not apply to alpha samples; alpha is always represented linearly.

See also Recommendations for Decoders: Section 10.5, Decoder gamma handling.

9.3. Encoder color handling

See Chapter 14, Color Tutorial if you aren't already familiar with color issues.

If it is possible for the encoder to determine the chromaticities of the source display primaries, or to make a strong guess based on the origin of the image or the hardware running it, then the encoder is strongly encouraged to output the cHRM chunk. If it does so, the gAMA chunk should also be written; decoders can do little with cHRM if gAMA is missing.

Video created with recent video equipment probably uses the CCIR 709 primaries and D65 white point [ITU-BT709], which are:

            R           G           B         White       
   x      0.640       0.300       0.150       0.3127      
   y      0.330       0.600       0.060       0.3290      
An older but still very popular video standard is SMPTE-C:
            R           G           B         White       
   x      0.630       0.310       0.155       0.3127      
   y      0.340       0.595       0.070       0.3290      
The original NTSC color primaries have not been used in decades. Although you may still find the NTSC numbers listed in standards documents, you won't find any images that actually use them.

Scanners that produce PNG files as output should insert the filter chromaticities into a cHRM chunk and the camera_gamma into a gAMA chunk.

In the case of hand-drawn or digitally edited images, you have to determine what monitor they were viewed on when being produced. Many image editing programs allow you to specify what type of monitor you are using. This is often because they are working in some device independent space internally. Such programs have enough information to write valid cHRM and gAMA chunks, and should do so automatically.

If the encoder is compiled as a portion of a computer image renderer that performs full-spectral rendering, the monitor values that were used to convert from the internal device-independent color space to RGB should be written into the cHRM chunk. Any colors that are outside the gamut of the chosen RGB device should be clipped or otherwise constrained to be within the gamut; PNG does not store out of gamut colors.

If the computer image renderer performs calculations directly in device dependent RGB space, a cHRM chunk should not be written unless the scene description and rendering parameters have been adjusted to look good on a particular monitor. In that case, the data for that monitor (if known) should be used to construct a cHRM chunk.

There are often cases where an image's exact origins are unknown, particularly if it began life in some other format. A few image formats store calibration information, which can be used to fill in the cHRM chunk. All PhotoCD files, for example, use the CCIR 709 primaries, D65 whitepoint, and a file_gamma of 0.45; these values can be written into gAMA and cHRM chunks. (PhotoCD can store colors outside the RGB gamut, so the image data will require gamut mapping before writing to PNG format.) TIFF 6.0 files can optionally store calibration information, which if present should be used to construct the cHRM chunk. GIF and most other formats do not store any calibration information.

It is not recommended that file format converters attempt to convert supplied images to a different RGB color space. Store the data in the PNG file without conversion, and record the source primary chromaticities if they are known. Color space transformation at file conversion time is a bad idea because of gamut mismatches and rounding errors. As with gamma conversions, it's better to store the data losslessly and incur at most one conversion when the image is finally displayed.

See also Recommendations for Decoders: Section 10.6, Decoder color handling.

9.4. Alpha channel creation

The alpha channel can be regarded either as a mask that temporarily hides transparent parts of the image, or as a means for constructing a non-rectangular image. In the first case, the color values of fully transparent pixels should be preserved for future use. In the second case, the transparent pixels carry no useful data and are simply there to fill out the rectangular image area required by PNG. In this case, fully transparent pixels should all be assigned the same color value for best compression.

Encoders should keep in mind the possibility that a viewer will ignore transparency control. Hence, the colors assigned to transparent pixels should be reasonable background colors whenever feasible.

For applications that do not require a full alpha channel, or cannot afford the price in compression efficiency, the tRNS transparency chunk is also available.

If the image has a known background color, this color should be written in the bKGD chunk. Even viewers that ignore transparency may use the bKGD color to fill unused screen area.

If the original image has premultiplied (also called "associated") alpha data, convert it to PNG's non-premultiplied format by dividing each sample value by the corresponding alpha value, then multiplying by the maximum value for the image bit depth, and rounding to the nearest integer. In valid premultiplied data, the sample values never exceed their corresponding alpha values, so the result of the division should always be in the range 0 to 1. If the alpha value is zero, output black (zeroes).

9.5. Suggested palettes

A PLTE chunk can appear in truecolor PNG files. In such files, the chunk is not an essential part of the image data, but simply represents a suggested palette that viewers may use to present the image on indexed-color display hardware. A suggested palette is of no interest to viewers running on truecolor hardware.

If an encoder chooses to provide a suggested palette, it is recommended that a hIST chunk also be written to indicate the relative importance of the palette entries. The histogram values are most easily computed as "nearest neighbor" counts, that is, the approximate usage of each palette entry if no dithering is applied. (These counts will often be available for free as a consequence of developing the suggested palette.)

For images of color type 2 (truecolor without alpha channel), it is recommended that the palette and histogram be computed with reference to the RGB data only, ignoring any transparent-color specification. If the file uses transparency (has a tRNS chunk), viewers can easily adapt the resulting palette for use with their intended background color. They need only replace the palette entry closest to the tRNS color with their background color (which may or may not match the file's bKGD color, if any).

For images of color type 6 (truecolor with alpha channel), it is recommended that a bKGD chunk appear and that the palette and histogram be computed with reference to the image as it would appear after compositing against the specified background color. This definition is necessary to ensure that useful palette entries are generated for pixels having fractional alpha values. The resulting palette will probably only be useful to viewers that present the image against the same background color. It is recommended that PNG editors delete or recompute the palette if they alter or remove the bKGD chunk in an image of color type 6. If PLTE appears without bKGD in an image of color type 6, the circumstances under which the palette was computed are unspecified.

9.6. Filter selection

For images of color type 3 (indexed color), filter type 0 (none) is usually the most effective.

Filter type 0 is also recommended for images of bit depths less than 8. For low-bit-depth grayscale images, it may be a net win to expand the image to 8-bit representation and apply filtering, but this is rare.

For truecolor and grayscale images, any of the five filters may prove the most effective. If an encoder uses a fixed filter, the Paeth filter is most likely to be the best.

For best compression of truecolor and grayscale images, we recommend an adaptive filtering approach in which a filter is chosen for each scanline. The following simple heuristic has performed well in early tests: compute the output scanline using all five filters, and select the filter that gives the smallest sum of absolute values of outputs. (Consider the output bytes as signed differences for this test.) This method usually outperforms any single fixed filter choice. However, it is likely that much better heuristics will be found as more experience is gained with PNG.

Filtering according to these recommendations is effective on interlaced as well as noninterlaced images.

9.7. Text chunk processing

A nonempty keyword must be provided for each text chunk. The generic keyword "Comment" can be used if no better description of the text is available. If a user-supplied keyword is used, be sure to check that it meets the restrictions on keywords.

PNG text strings are expected to use the Latin-1 character set. Encoders should avoid storing characters that are not defined in Latin-1, and should provide character code remapping if the local system's character set is not Latin-1.

Encoders should discourage the creation of single lines of text longer than 79 characters, in order to facilitate easy reading.

If an encoder chooses to support output of zTXt compressed text chunks, it is recommended that text less than 1K (1024 bytes) in size be output using uncompressed tEXt chunks. In particular, it is recommended that the basic title and author keywords always be output using uncompressed tEXt chunks. Lengthy disclaimers, on the other hand, are ideal candidates for zTXt.

Placing large tEXt and zTXt chunks after the image data (after IDAT) can speed up image display in some situations, since the decoder won't have to read over the text to get to the image data. But it is recommended that small text chunks, such as the image title, appear before IDAT.

9.8. Use of private chunks

Applications can use PNG private chunks to carry information that need not be understood by other applications. Such chunks must be given names with lowercase second letters, to ensure that they can never conflict with any future public chunk definition. Note, however, that there is no guarantee that some other application will not use the same private chunk name. If you use a private chunk type, it is prudent to store additional identifying information at the beginning of the chunk data.

Use an ancillary chunk type (lowercase first letter), not a critical chunk type, for all private chunks that store information that is not absolutely essential to view the image. Creation of private critical chunks is discouraged because they render PNG files unportable. Such chunks should not be used in publicly available software or files. If private critical chunks are essential for your application, it is recommended that one appear near the start of the file, so that a standard decoder need not read very far before discovering that it cannot handle the file.

If you want others outside your organization to understand a chunk type that you invent, contact the maintainers of the PNG specification to submit a proposed chunk name and definition for addition to the list of special-purpose public chunks (see Section 4.4, Additional Chunk Types). Note that a proposed public chunk name (with uppercase second letter) must not be used in publicly available software or files until registration has been approved.

If an ancillary chunk contains textual information that might be of interest to a human user, you should not create a special chunk type for it. Instead use a tEXt chunk and define a suitable keyword. That way, the information will be available to users not using your software.

Keywords in tEXt chunks should be reasonably self-explanatory, since the idea is to let other users figure out what the chunk contains. If of general usefulness, new keywords can be registered with the maintainers of the PNG specification. But it is permissible to use keywords without registering them first.

9.9. Private type and method codes

This specification only defines the meaning of some of the possible values of some fields. For example, only compression method 0 and filter types 0 through 4 are defined. Use numbers greater than 127 when inventing experimental or private definitions of values for any of these fields. Numbers below 128 are reserved for possible future public extensions of this specification. Note that use of private type codes may render a file unreadable by standard decoders. Such codes are strongly discouraged except for experimental purposes, and should not appear in publicly available software or files.

10. Recommendations for Decoders

This chapter gives some recommendations for decoder behavior. The only absolute requirement on a PNG decoder is that it successfully read any file conforming to the format specified in the preceding chapters. However, best results will usually be achieved by following these recommendations.

10.1. Error checking

To ensure early detection of common file-transfer problems, decoders should verify that all eight bytes of the PNG file signature are correct. (See Rationale: Section 12.11, PNG file signature.) A decoder can have additional confidence in the file's integrity if the next eight bytes are an IHDR chunk header with the correct chunk length.

Unknown chunk types must be handled as described in Section 3.3, Chunk naming conventions. An unknown chunk type is not to be treated as an error unless it is a critical chunk.

It is strongly recommended that decoders verify the CRC on each chunk.

In some situations it is desirable to check chunk headers (length and type code) before reading the chunk data and CRC. The chunk type can be checked for plausibility by seeing whether all four bytes are ASCII letters (codes 65-90 and 97-122); note that this need only be done for unrecognized type codes. If the total file size is known (from file system information, HTTP protocol, etc), the chunk length can be checked for plausibility as well.

If CRCs are not checked, dropped/added data bytes or an erroneous chunk length can cause the decoder to get out of step and misinterpret subsequent data as a chunk header. Verifying that the chunk type contains letters is an inexpensive way of providing early error detection in this situation.

For known-length chunks such as IHDR, decoders should treat an unexpected chunk length as an error. Future extensions to this specification will not add new fields to existing chunks; instead, new chunk types will be added to carry new information.

Unexpected values in fields of known chunks (for example, an unexpected compression method in the IHDR chunk) must be checked for and treated as errors. However, it is recommended that unexpected field values be treated as fatal errors only in critical chunks. An unexpected value in an ancillary chunk can be handled by ignoring the whole chunk as though it were an unknown chunk type. (This recommendation assumes that the chunk's CRC has been verified. In decoders that do not check CRCs, it is safer to treat any unexpected value as indicating a corrupted file.)

10.2. Pixel dimensions

Non-square pixels can be represented (see the pHYs chunk), but viewers are not required to account for them; a viewer can present any PNG file as though its pixels are square.

Conversely, viewers running on display hardware with non-square pixels are strongly encouraged to rescale images for proper display.

10.3. Truecolor image handling

To achieve PNG's goal of universal interchangeability, decoders are required to accept all types of PNG image: indexed-color, truecolor, and grayscale. Viewers running on indexed-color display hardware need to be able to reduce truecolor images to indexed format for viewing. This process is usually called "color quantization".

A simple, fast way of doing this is to reduce the image to a fixed palette. Palettes with uniform color spacing ("color cubes") are usually used to minimize the per-pixel computation. For photograph-like images, dithering is recommended to avoid ugly contours in what should be smooth gradients; however, dithering introduces graininess that can be objectionable.

The quality of rendering can be improved substantially by using a palette chosen specifically for the image, since a color cube usually has numerous entries that are unused in any particular image. This approach requires more work, first in choosing the palette, and second in mapping individual pixels to the closest available color. PNG allows the encoder to supply a suggested palette in a PLTE chunk, but not all encoders will do so, and the suggested palette may be unsuitable in any case (it may have too many or too few colors). High-quality viewers will therefore need to have a palette selection routine at hand. A large lookup table is usually the most feasible way of mapping individual pixels to palette entries with adequate speed.

Numerous implementations of color quantization are available. The PNG reference implementation, libpng, includes code for the purpose.

10.4. Bit depth rescaling

Decoders may wish to scale PNG data to a lesser bit depth (sample precision) for display. For example, 16-bit data will need to be reduced to 8-bit depth for use on most present-day display hardware. Reduction of 8-bit data to 5-bit depth is also common.

The most accurate scaling is achieved by the linear equation

   output = ROUND(input * MAXOUTSAMPLE / MAXINSAMPLE)
where
   MAXINSAMPLE = (2^bitdepth)-1
   MAXOUTSAMPLE = (2^desired_bitdepth)-1
A slightly less accurate conversion is achieved by simply shifting right by bitdepth-desired_bitdepth places. For example, to reduce 16-bit samples to 8-bit, one need only discard the low-order byte. In many situations the shift method is sufficiently accurate for display purposes, and it is certainly much faster. (But if gamma correction is being done, sample rescaling can be merged into the gamma correction lookup table, as is illustrated in Section 10.5, Decoder gamma handling.)

When an sBIT chunk is present, the original pre-PNG data can be recovered by shifting right to the bit depth specified by sBIT. Note that linear scaling will not necessarily reproduce the original data, because the encoder is not required to have used linear scaling to scale the data up. However, the encoder is required to have used a method that preserves the high-order bits, so shifting always works. This is the only case in which shifting might be said to be more accurate than linear scaling.

When comparing pixel values to tRNS chunk values to detect transparent pixels, it is necessary to do the comparison exactly. Therefore, transparent pixel detection must be done before reducing sample precision.

10.5. Decoder gamma handling

See Chapter 13, Gamma Tutorial if you aren't already familiar with gamma issues.

To produce correct tone reproduction, a good image display program must take into account the gammas of the image file and the display device, as well as the viewing_gamma appropriate to the lighting conditions near the display. This can be done by calculating

   gbright := sampleval / MAXSAMPLEVAL
   bright := gbright ^ (1.0 / file_gamma)
   gcvideo := bright ^ (viewing_gamma / display_gamma)
   fbval := ROUND(gcvideo * MAXFBVAL)
where MAXSAMPLEVAL is the maximum sample value in the file (255 for 8-bit, 65535 for 16-bit, etc), MAXFBVAL is the maximum value of a frame buffer sample (255 for 8-bit, 31 for 5-bit, etc), sampleval is the value of the sample in the PNG file, and fbval is the value to write into the frame buffer. The first line converts from integer samples into a normalized 0 to 1 floating point value, the second undoes the encoding of the image file to produce a linear brightness value, the third line corrects for the viewing conditions and the monitor's gamma value, and the fourth converts to an integer frame buffer sample. In practice the second and third lines can be merged into
   gcvideo := gbright^(viewing_gamma / (file_gamma*display_gamma))
so as to perform only one power calculation. For color images, the entire calculation is performed separately for R, G, and B values.

It is not necessary to perform transcendental math for every pixel! Instead, compute a lookup table that gives the correct output value for every possible sample value. This requires only 256 calculations per image (for 8-bit accuracy), not one or three calculations per pixel. For an indexed-color image, a one-time correction of the palette is sufficient, unless the image uses transparency and is being displayed against a nonuniform background.

In some cases even computing a gamma lookup table may be a concern. In these cases, viewers are encouraged to have precomputed gamma correction tables for file_gamma values of 1.0 and 0.45 and some reasonable choice of viewing_gamma and display_gamma, and to use the table closest to the gamma indicated in the file. This will produce acceptable results for the majority of real files.

When the incoming image has unknown gamma (no gAMA chunk), choose a likely default file_gamma value, but allow the user to select a new one if the result proves too dark or too light.

In practice, it is often difficult to determine what value of display_gamma should be used. In systems with no built-in gamma correction, the display_gamma is determined entirely by the CRT. Assuming a CRT_gamma of 2.5 is recommended, unless you have detailed calibration measurements of this particular CRT available.

However, many modern frame buffers have lookup tables that are used to perform gamma correction, and on these systems the display_gamma value should be the gamma of the lookup table and CRT combined. You may not be able to find out what the lookup table contains from within an image viewer application, so you may have to ask the user what the system's gamma value is. Unfortunately, different manufacturers use different ways of specifying what should go into the lookup table, so interpretation of the system gamma value is system-dependent. Chapter 13, Gamma Tutorial gives some examples.

The response of real displays is actually more complex than can be described by a single number (display_gamma). If actual measurements of the monitor's light output as a function of voltage input are available, the third and fourth lines of the computation above can be replaced by a lookup in these measurements, to find the actual frame buffer value that most nearly gives the desired brightness.

The value of viewing_gamma depends on lighting conditions; see Chapter 13, Gamma Tutorial for more detail. Ideally, a viewer would allow the user to specify viewing_gamma, either directly numerically, or via selecting from "bright surround", "dim surround", and "dark surround" conditions. Viewers that don't want to do this should just assume a value for viewing_gamma of 1.0, since most computer displays live in brightly-lit rooms.

10.6. Decoder color handling

See Chapter 14, Color Tutorial if you aren't already familiar with color issues.

In many cases, decoders will treat image data in PNG files as device-dependent RGB data and display it without modification (except for appropriate gamma correction). This provides the fastest display of PNG images. But unless the viewer uses exactly the same display hardware as the original image author used, the colors will not be exactly the same as the original author saw, particularly for darker or near-neutral colors. The cHRM chunk provides information that allows closer color matching than that provided by gamma correction alone.

Decoders can use the cHRM data to transform the image data from RGB to XYZ and thence into a perceptually linear color space such as CIE LAB. They can then partition the colors to generate an optimal palette, because the geometric distance between two colors in CIE LAB is strongly related to how different those colors appear (unlike, for example, RGB or XYZ spaces). The resulting palette of colors, once transformed back into RGB color space, could then be written to a PLTE chunk.

Decoders that are part of image processing applications might also transform image data into CIE LAB space for analysis.

In applications where color fidelity is critical, such as product design, scientific visualization, medicine, architecture or advertising, decoders can transform the image data from source_RGB to the display_RGB space of the monitor used to view the image. This involves calculating the matrix to go from source_RGB to XYZ and the matrix to go from XYZ to display_RGB, then combining them to produce the overall transformation. The decoder is responsible for implementing gamut mapping.

Decoders running on platforms that have a Color Management System (CMS) can pass the image data, gAMA and cHRM values to the CMS for display or further processing.

Decoders that provide color printing facilities can use the facilities in Level 2 PostScript to specify image data in calibrated RGB space or in a device independent color space such as XYZ. This will provide better color fidelity than a simple RGB to CMYK conversion. The PostScript Language Reference manual gives examples of this process [POSTSCRIPT]. Such decoders are responsible for implementing gamut mapping between source_RGB (specified in the cHRM chunk) and the target printer. The PostScript interpreter is then responsible for producing the required colors.

Decoders can use the cHRM data to calculate a grayscale representation of a color image. Conversion from RGB to gray is simply a case of calculating the Y (luminance) component of XYZ, which is a weighted sum of the R G and B values. The weights depend on the monitor type, ie the values in the cHRM chunk. Decoders may wish to do this for PNG files with no cHRM chunk. In that case, a reasonable default would be the CCIR 709 primaries [ITU-BT709]. Do not use the NTSC primaries, unless you really do have an image color-balanced for such a monitor! Few monitors still use the NTSC primaries, so such images are very rare these days.

10.7. Background color

The background color given by bKGD will typically be used to fill unused screen space around the image, as well as any transparent pixels within the image. (Thus, bKGD is valid and useful even when the image does not use transparency.) If no bKGD chunk is present, the viewer must make its own decision about a suitable background color.

Viewers that have a specific background against which to present the image will ignore the bKGD chunk, in effect overriding bKGD with their preferred background color or background image.

The background color given by bKGD is not to be considered transparent, even if it happens to match the color given by tRNS (or, in the case of an indexed-color image, refers to a palette index that is marked as transparent by tRNS). Otherwise one would have to imagine something "behind the background" to composite against. The background color is either used as background or ignored; it is not an intermediate layer between the PNG image and some other background.

Indeed, it will be common that bKGD and tRNS specify the same color, since then a decoder that does not implement transparency processing will give the intended display, at least when no partially-transparent pixels are present.

10.8. Alpha channel processing

In the most general case, the alpha channel can be used to composite a foreground image against a background image; the PNG file defines the foreground image and the transparency mask, but not the background image. Decoders are not required to support this most general case. It is expected that most will be able to support compositing against a single background color, however.

The equation for computing a composited sample value is

   output := alpha * foreground + (1-alpha) * background
where alpha and the input and output sample values are expressed as fractions in the range 0 to 1. This computation should be performed with linear (non-gamma-corrected) sample values. For color images, the computation is done separately for R, G, and B samples.

The following code illustrates the general case of compositing a foreground image over a background image. It assumes that you have the original pixel data available for the background image, and that output is to a frame buffer for display. Other variants are possible; see the comments below the code. The code allows the bit depths and gamma values of foreground image, background image, and frame buffer/CRT to all be different. Don't assume they are the same without checking!

This code is standard C, with line numbers added for reference in the comments below.

   01  int foreground[4];  /* file pixel: R, G, B, A */
   02  int background[3];  /* file background color: R, G, B */
   03  int fbpix[3];       /* frame buffer pixel */
   04  int fg_maxsample;   /* foreground max sample */
   05  int bg_maxsample;   /* background max sample */
   06  int fb_maxsample;   /* frame buffer max sample */
   07  int ialpha;
   08  float alpha, compalpha;
   09  float gamfg, linfg, gambg, linbg, comppix, gcvideo;
   
       /* Get max sample value in files and frame buffer */
   10  fg_maxsample = (1 << fg_bit_depth) - 1;
   11  bg_maxsample = (1 << bg_bit_depth) - 1;
   12  fb_maxsample = (1 << frame_buffer_bit_depth) - 1;
       /*
        * Get integer version of alpha.
        * Check for opaque and transparent special cases;
        * no compositing needed if so.
        *
        * We show the whole gamma decode/correct process in
        * floating point, but it would more likely be done
        * with lookup tables.
        */
   13  ialpha = foreground[3];
   
   14  if (ialpha == 0) {
           /*
            * Foreground image is transparent here.
            * If the background image is already in the frame
            * buffer, there is nothing to do.
            */
   15      ;
   16  } else if (ialpha == fg_maxsample) {
   17      for (i = 0; i < 3; i++) {
   18          gamfg = (float) foreground[i] / fg_maxsample;
   19          linfg = pow(gamfg, 1.0/fg_gamma);
   20          comppix = linfg;
   21          gcvideo = pow(comppix,viewing_gamma/display_gamma);
   22          fbpix[i] = (int) (gcvideo * fb_maxsample + 0.5);
   23      }
   24  } else {
           /*
            * Compositing is necessary.
            * Get floating-point alpha and its complement.
            * Note: alpha is always linear; gamma does not
            * affect it.
            */
   25      alpha = (float) ialpha / fg_maxsample;
   26      compalpha = 1.0 - alpha;
   
   27      for (i = 0; i < 3; i++) {
               /*
                * Convert foreground and background to floating
                * point, then linearize (undo gamma encoding).
                */
   28          gamfg = (float) foreground[i] / fg_maxsample;
   29          linfg = pow(gamfg, 1.0/fg_gamma);
   30          gambg = (float) background[i] / bg_maxsample;
   31          linbg = pow(gambg, 1.0/bg_gamma);
               /*
                * Composite.
                */
   32          comppix = linfg * alpha + linbg * compalpha;
               /*
                * Gamma correct for display.
                * Convert to integer frame buffer pixel.
                */
   33          gcvideo = pow(comppix,viewing_gamma/display_gamma);
   34          fbpix[i] = (int) (gcvideo * fb_maxsample + 0.5);
   35      }
   36  }
Variations:
  1. If output is to another PNG image file instead of a frame buffer, lines 21, 22, 33, and 34 should be changed to be something like:
       /*
        * Gamma encode for storage in output file.
        * Convert to integer sample value.
        */
       gamout = pow(comppix, outfile_gamma);
       outpix[i] = (int) (gamout * out_maxsample + 0.5);
    
    Also, it becomes necessary to process background pixels when alpha is zero, rather than just skipping pixels. Thus, line 15 must be replaced by copies of lines 18-22, but processing background instead of foreground pixel values.
  2. If the bit depth of the output file, foreground file, and background file are all the same, and the three gamma values also match, then the no-compositing code in lines 14-23 reduces to nothing more than copying pixel values from the input file to the output file if alpha is one, or copying pixel values from background to output file if alpha is zero. Since alpha is typically either zero or one for the vast majority of pixels in an image, this is a great savings. No gamma computations are needed for most pixels.
  3. When the bit depths and gamma values all match, it may appear attractive to skip the gamma decoding and encoding (lines 28-31, 33-34) and just perform line 32 using gamma-encoded sample values. Although this doesn't hurt image quality too badly, the time savings are small if alpha values of zero and one are special-cased as recommended here.
  4. If the original pixel values of the background image are no longer available, only processed frame buffer pixels left by display of the background image, then lines 30 and 31 must extract intensity from the frame buffer pixel values using code like:
       /*
        * Decode frame buffer value back into linear space.
        */
       gcvideo = (float) (fbpix[i] / fb_maxsample);
       linbg = pow(gcvideo, display_gamma / viewing_gamma);
    
    However, some roundoff error can result, so it is better to have the original background pixels available if at all possible.
  5. Note that lines 18-22 are performing exactly the same gamma computation that is done when no alpha channel is present. So, if you handle the no-alpha case with a lookup table, you can use the same lookup table here. Lines 28-31 and 33-34 can also be done with (different) lookup tables.
  6. Of course, everything here can be done in integer arithmetic. Just be careful to maintain sufficient precision all the way through.

Note: in floating point, no overflow or underflow checks are needed, because the input sample values are guaranteed to be between 0 and 1, and compositing always yields a result that is in between the input values (inclusive). With integer arithmetic, some roundoff-error analysis might be needed to guarantee no overflow or underflow.

When displaying a PNG image with full alpha channel, it is important to be able to composite the image against some background, even if it's only black. Ignoring the alpha channel will cause PNG images that have been converted from an associated-alpha representation to look wrong. (Of course, if the alpha channel is a separate transparency mask, then ignoring alpha is a useful option: it allows the hidden parts of the image to be recovered.)

Even if the decoder author does not wish to implement true compositing logic, it is simple to deal with images that contain only zero and one alpha values. (This is implicitly true for grayscale and truecolor PNG files that use a tRNS chunk; for indexed-color PNG images, it is easy to check whether tRNS contains any values other than 0 and 255.) In this simple case, transparent pixels are replaced by the background color, while others are unchanged. If a decoder contains only this much transparency capability, it should deal with a full alpha channel by treating all nonzero alpha values as fully opaque; that is, do not replace partially transparent pixels by the background. This approach will not yield very good results for images converted from associated-alpha formats, but it's better than doing nothing.

10.9. Progressive display

When receiving images over slow transmission links, decoders can improve perceived performance by displaying interlaced images progressively. This means that as each pass is received, an approximation to the complete image is displayed based on the data received so far. One simple yet pleasing effect can be obtained by expanding each received pixel to fill a rectangle covering the yet-to-be-transmitted pixel positions below and to the right of the received pixel. This process can be described by the following pseudocode:
   Starting_Row [1..7] =  { 0, 0, 4, 0, 2, 0, 1 }
   Starting_Col [1..7] =  { 0, 4, 0, 2, 0, 1, 0 }
   Row_Increment [1..7] = { 8, 8, 8, 4, 4, 2, 2 }
   Col_Increment [1..7] = { 8, 8, 4, 4, 2, 2, 1 }
   Block_Height [1..7] =  { 8, 8, 4, 4, 2, 2, 1 }
   Block_Width [1..7] =   { 8, 4, 4, 2, 2, 1, 1 }
   
   pass := 1
   while pass <= 7
   begin
       row := Starting_Row[pass]
   
       while row < height
       begin
           col := Starting_Col[pass]
   
           while col < width
           begin
               visit (row, col,
                      min (Block_Height[pass], height - row),
                      min (Block_Width[pass], width - col))
               col := col + Col_Increment[pass]
           end
           row := row + Row_Increment[pass]
       end
   
       pass := pass + 1
   end
Here, the function "visit(row,column,height,width)" obtains the next transmitted pixel and paints a rectangle of the specified height and width, whose upper-left corner is at the specified row and column, using the color indicated by the pixel. Note that row and column are measured from 0,0 at the upper left corner.

If the decoder is merging the received image with a background image, it may be more convenient just to paint the received pixel positions; that is, the "visit()" function sets only the pixel at the specified row and column, not the whole rectangle. This produces a "fade-in" effect as the new image gradually replaces the old. An advantage of this approach is that proper alpha or transparency processing can be done as each pixel is replaced. Painting a rectangle as described above will overwrite background-image pixels that may be needed later, if the pixels eventually received for those positions turn out to be wholly or partially transparent. Of course, this is only a problem if the background image is not stored anywhere offscreen.

10.10. Suggested-palette and histogram usage

In truecolor PNG files, the encoder may have provided a suggested PLTE chunk for use by viewers running on indexed-color hardware.

If the image has a tRNS chunk, the viewer will need to adapt the suggested palette for use with its desired background color. To do this, replace the palette entry closest to the tRNS color with the desired background color; or just add a palette entry for the background color, if the viewer can handle more colors than there are PLTE entries.

For images of color type 6 (truecolor with alpha channel), any suggested palette should have been designed for display of the image against a uniform background of the color specified by bKGD. Viewers should probably ignore the palette if they intend to use a different background, or if the bKGD chunk is missing. Viewers can use a suggested palette for display against a different background than it was intended for, but the results may not be very good.

If the viewer presents a transparent truecolor image against a background that is more complex than a single color, it is unlikely that the suggested palette will be optimal for the composite image. In this case it is best to perform a truecolor compositing step on the truecolor PNG image and background image, then color-quantize the resulting image.

The histogram chunk is useful when the viewer cannot provide as many colors as are used in the image's palette. If the viewer is only short a few colors, it is usually adequate to drop the least-used colors from the palette. To reduce the number of colors substantially, it's best to choose entirely new representative colors, rather than trying to use a subset of the existing palette. This amounts to performing a new color quantization step; however, the existing palette and histogram can be used as the input data, thus avoiding a scan of the image data.

If no palette or histogram chunk is provided, a decoder can develop its own, at the cost of an extra pass over the image data. Alternatively, a default palette (probably a color cube) can be used.

See also Recommendations for Encoders: Section 9.5, Suggested palettes.

10.11. Text chunk processing

If practical, decoders should have a way to display to the user all tEXt and zTXt chunks found in the file. Even if the decoder does not recognize a particular text keyword, the user might be able to understand it.

PNG text is not supposed to contain any characters outside the ISO 8859-1 "Latin-1" character set (that is, no codes 0-31 or 127-159), except for the newline character (decimal 10). But decoders might encounter such characters anyway. Some of these characters can be safely displayed (e.g., TAB, FF, and CR, decimal 9, 12, and 13, respectively), but others, especially the ESC character (decimal 27), could pose a security hazard because unexpected actions may be taken by display hardware or software. To prevent such hazards, decoders should not attempt to directly display any non-Latin-1 characters (except for newline and perhaps TAB, FF, CR) encountered in a tEXt or zTXt chunk. Instead, ignore them or display them in a visible notation such as "\nnn". See Section 8.5, Security considerations.

Even though encoders are supposed to represent newlines as LF, it is recommended that decoders not rely on this; it's best to recognize all the common newline combinations (CR, LF, and CR-LF) and display each as a single newline. TAB can be expanded to the proper number of spaces needed to arrive at a column multiple of 8.

Decoders running on systems with non-Latin-1 character set encoding should provide character code remapping so that Latin-1 characters are displayed correctly. Some systems may not provide all the characters defined in Latin-1. Mapping unavailable characters to a visible notation such as "\nnn" is a good fallback. In particular, character codes 127-255 should be displayed only if they are printable characters on the decoding system. Some systems may interpret such codes as control characters; for security, decoders running on such systems should not display such characters literally.

Decoders should be prepared to display text chunks that contain any number of printing characters between newline characters, even though encoders are encouraged to avoid creating lines in excess of 79 characters.

11. Glossary

Alpha
A value representing a pixel's degree of transparency. The more transparent a pixel, the less it hides the background against which the image is presented. In PNG, alpha is really the degree of opacity: zero alpha represents a completely transparent pixel, maximum alpha represents a completely opaque pixel. But most people refer to alpha as providing transparency information, not opacity information, and we continue that custom here.
Ancillary chunk
A chunk that provides additional information. A decoder can still produce a meaningful image, though not necessarily the best possible image, without processing the chunk.
Byte
Eight bits; also called an octet.
Channel
The set of all samples of the same kind within an image; for example, all the blue samples in a truecolor image. (The term "component" is also used, but not in this specification.) A sample is the intersection of a channel and a pixel.
Chunk
A section of a PNG file. Each chunk has a type indicated by its chunk type name. Most types of chunks also include some data. The format and meaning of the data within the chunk are determined by the type name.
Chromaticity
A pair of values x,y that precisely specify the hue, though not the absolute brightness, of a perceived color.
Composite
As a verb, to form an image by merging a foreground image and a background image, using transparency information to determine where the background should be visible. The foreground image is said to be "composited against" the background.
CRC
Cyclic Redundancy Check. A CRC is a type of check value designed to catch most transmission errors. A decoder calculates the CRC for the received data and compares it to the CRC that the encoder calculated, which is appended to the data. A mismatch indicates that the data was corrupted in transit.
CRT
Cathode Ray Tube: a common type of computer display hardware.
Critical chunk
A chunk that must be understood and processed by the decoder in order to produce a meaningful image from a PNG file.
Datastream
A sequence of bytes. This term is used rather than "file" to describe a byte sequence that is only a portion of a file. We also use it to emphasize that a PNG image might be generated and consumed "on the fly", never appearing in a stored file at all.
Deflate
The name of the compression algorithm used in standard PNG files, as well as in zip, gzip, and other compression programs. Deflate is a member of the LZ77 family of compression methods.
Filter
A transformation applied to image data in hopes of improving its compressibility. PNG uses only lossless (reversible) filtering algorithms.
Frame buffer
The final digital storage area for the image shown by a computer display. Software causes an image to appear onscreen by loading it into the frame buffer.
Gamma
The brightness of mid-level tones in an image. More precisely, a parameter that describes the shape of the transfer function for one or more stages in an imaging pipeline. The transfer function is given by the expression
   output = input ^ gamma
where both input and output are scaled to a zero to one range.
Grayscale
An image representation in which each pixel is represented by a single sample value representing overall luminance (on a scale from black to white). PNG also permits an alpha sample to be stored for each pixel of a grayscale image.
Indexed color
An image representation in which each pixel is represented by a single sample that is an index into a palette or lookup table. The selected palette entry defines the actual color of the pixel.
LSB
Least Significant Byte of a multi-byte value.
Luminance
Perceived brightness, or grayscale level, of a color. Luminance and chromaticity together fully define a perceived color.
LUT
Look Up Table. In general, a table used to transform data. In frame buffer hardware, a LUT can be used to map indexed-color pixels into a selected set of truecolor values, or to perform gamma correction. In software, a LUT can be used as a fast way of implementing any one-variable mathematical function.
MSB
Most Significant Byte of a multi-byte value.
Palette
The set of colors available in an indexed-color image. In PNG, a palette is an array of colors defined by red, green, and blue samples. (Alpha values can also be defined for palette entries, via the tRNS chunk.)
Pixel
The information stored for a single grid point in the image. The complete image is a two-dimensional array of pixels.
PNG editor
A program that modifies a PNG file and preserves ancillary information, including chunks that it does not recognize. Such a program must obey the rules given in Chapter 7, Chunk Ordering Rules.
Sample
A single number in the image data; for example, the red value of a pixel. A pixel is composed of one or more samples. We use "sample" both for color values and for the palette index values of an indexed-color image.
Scanline
One horizontal row of pixels within an image.
Truecolor
An image representation in which pixel colors are defined by storing three samples for each pixel, representing red, green, and blue intensities respectively. PNG also permits an alpha sample to be stored for each pixel of a truecolor image.
White point
The chromaticity of a computer display's nominal white value.
zlib
A particular format for data that has been compressed using deflate-style compression. Also the name of a library implementing this method. PNG implementations need not use the zlib library, but they must conform to its format for compressed data.
x^y
Exponentiation; x raised to the power y. C programmers should be careful not to misread this notation as exclusive-or. Note that in gamma correction calculations, zero raised to any power is valid and should give a zero result.

12. Appendix: Rationale

(This appendix is not part of the formal PNG specification.)

This appendix gives the reasoning behind some of the design decisions in PNG. Many of these decisions were the subject of considerable debate. The authors freely admit that another group might have made different decisions; however, we believe that our choices are defensible and consistent.

12.1. Why a new file format?

Does the world really need yet another graphics format? We believe so. GIF is no longer freely usable, but no other commonly used format can directly replace it, as is discussed in more detail below. We might have used an adaptation of an existing format, for example GIF with an unpatented compression scheme. But this would require new code anyway; it would not be all that much easier to implement than a whole new file format. (PNG is designed to be simple to implement, with the exception of the compression engine, which would be needed in any case.) We feel that this is an excellent opportunity to design a new format that fixes some of the known limitations of GIF.

12.2. Why these features?

The features chosen for PNG are intended to address the needs of applications that previously used the special strengths of GIF. In particular, GIF is well adapted for online communications because of its streamability and progressive display capability. PNG shares those attributes.

We have also addressed some of the widely known shortcomings of GIF. In particular, PNG supports truecolor images. We know of no widely used image format that losslessly compresses truecolor images as effectively as PNG does. We hope that PNG will make use of truecolor images more practical and widespread.

Some form of transparency control is desirable for applications in which images are displayed against a background or together with other images. GIF provided a simple transparent-color specification for this purpose. PNG supports a full alpha channel as well as transparent-color specifications. This allows both highly flexible transparency and compression efficiency.

Robustness against transmission errors has been an important consideration. For example, images transferred across Internet are often mistakenly processed as text, leading to file corruption. PNG is designed so that such errors can be detected quickly and reliably.

PNG has been expressly designed not to be completely dependent on a single compression technique. Although deflate/inflate compression is mentioned in this document, PNG would still exist without it.

12.3. Why not these features?

Some features have been deliberately omitted from PNG. These choices were made to simplify implementation of PNG, promote portability and interchangeability, and make the format as simple and foolproof as possible for users. In particular: It is worth noting that private extensions to PNG could easily add these features. We will not, however, include them as part of the basic PNG standard.

Basic PNG also does not support multiple images in one file. This restriction is a reflection of the reality that many applications do not need and will not support multiple images per file. (While the GIF standard nominally allows multiple images per file, few applications actually support it.) In any case, single images are a fundamentally different sort of object from sequences of images. Rather than make false promises of interchangeability, we have drawn a clear distinction between single-image and multi-image formats. PNG is a single-image format.

12.4. Why not use format XYZ?

Numerous existing formats were considered before deciding to develop PNG. None could meet the requirements we felt were important for PNG.

GIF is no longer suitable as a universal standard because of legal entanglements. Although just replacing GIF's compression method would avoid that problem, GIF does not support truecolor images, alpha channels, or gamma correction. The spec has more subtle problems too. Only a small subset of the GIF89 spec is actually portable across a variety of implementations, but there is no codification of the most portable part of the spec.

TIFF is far too complex to meet our goals of simplicity and interchangeability. Defining a TIFF subset would meet that objection, but would frustrate users making the reasonable assumption that a file saved as TIFF from Software XYZ would load into a program supporting our flavor of TIFF. Furthermore, TIFF is not designed for stream processing, has no provision for progressive display, and does not currently provide any good, legally unencumbered, lossless compression method.

IFF has also been suggested, but is not suitable in detail: available image representations are too machine-specific or not adequately compressed. The overall chunk structure of IFF is a useful concept that PNG has liberally borrowed from, but we did not attempt to be bit-for-bit compatible with IFF chunk structure. Again this is due to detailed issues, notably the fact that IFF FORMs are not designed to be serially writable.

Lossless JPEG is not suitable because it does not provide for the storage of indexed-color images. Furthermore, its lossless truecolor compression is often inferior to that of PNG.

12.5. Byte order

It has been asked why PNG uses network byte order. We have selected one byte ordering and used it consistently. Which order in particular is of little relevance, but network byte order has the advantage that routines to convert to and from it are already available on any platform that supports TCP/IP networking, including all PC platforms. The functions are trivial and will be included in the reference implementation.

12.6. Interlacing

PNG's two-dimensional interlacing scheme is more complex to implement than GIF's line-wise interlacing. It also costs a little more in file size. However, it yields an initial image eight times faster than GIF (the first pass transmits only 1/64th of the pixels, compared to 1/8th for GIF). Although this initial image is coarse, it is useful in many situations. For example, if the image is a World Wide Web imagemap that the user has seen before, PNG's first pass is often enough to determine where to click. The PNG scheme also looks better than GIF's, because horizontal and vertical resolution never differ by more than a factor of two; this avoids the odd "stretched" look seen when interlaced GIFs are filled in by replicating scanlines. Preliminary results show that small text in an interlaced PNG image is typically readable about twice as fast as in an equivalent GIF, i.e., after PNG's fifth pass or 25% of the image data, instead of after GIF's third pass or 50%. This is again due to PNG's more balanced increase in resolution.

12.7. Why gamma?

It might seem natural to standardize on storing sample values that are linearly proportional to light intensity (that is, have gamma of 1.0). But in fact, it is common for images to have a gamma of less than 1. There are three good reasons for this:

In practice, image gamma values around 1.0 and around 0.45 are both widely found. Older image standards such as GIF often do not account for this fact. The JFIF standard specifies that images in that format should use linear samples, but many JFIF images found on Usenet actually have a gamma somewhere near 0.4 or 0.5. The variety of images found and the variety of systems that people display them on have led to widespread problems with images coming out "too dark" or "too light".

PNG expects viewers to compensate for image gamma at the time that the image is displayed. Another possible approach is to expect encoders to convert all images to a uniform gamma at encoding time. While that method would speed viewers slightly, it has fundamental flaws:

Since there will always be images with no gamma or an incorrect recorded gamma, good viewers will need to incorporate gamma correction logic anyway. Gamma correction at viewing time is thus the right way to go.

See Chapter 13, Gamma Tutorial for more information.

12.8. Non-premultiplied alpha

PNG uses "unassociated" or "non-premultiplied" alpha so that images with separate transparency masks can be stored losslessly. Another common technique, "premultiplied alpha", stores pixel values premultiplied by the alpha fraction; in effect, the image is already composited against a black background. Any image data hidden by the transparency mask is irretrievably lost by that method, since multiplying by a zero alpha value always produces zero.

Some image rendering techniques generate images with premultiplied alpha (the alpha value actually represents how much of the pixel is covered by the image). This representation can be converted to PNG by dividing the sample values by alpha, except where alpha is zero. The result will look good if displayed by a viewer that handles alpha properly, but will not look very good if the viewer ignores the alpha channel.

Although each form of alpha storage has its advantages, we did not want to require all PNG viewers to handle both forms. We standardized on non-premultiplied alpha as being the lossless and more general case.

12.9. Filtering

PNG includes filtering capability because filtering can significantly reduce the compressed size of truecolor and grayscale images. Filtering is also sometimes of value on indexed-color images, although this is less common.

The filter algorithms are defined to operate on bytes, rather than pixels; this gains simplicity and speed with very little cost in compression performance. Tests have shown that filtering is usually ineffective for images with fewer than 8 bits per sample, so providing pixelwise filtering for such images would be pointless. For 16 bit/sample data, bytewise filtering is nearly as effective as pixelwise filtering, because MSBs are predicted from adjacent MSBs, and LSBs are predicted from adjacent LSBs.

The encoder is allowed to change filters for each new scanline. This creates no additional complexity for decoders, since a decoder is required to contain defiltering logic for every filter type anyway. The only cost is an extra byte per scanline in the pre-compression datastream. Our tests showed that when the same filter is selected for all scanlines, this extra byte compresses away to almost nothing, so there is little storage cost compared to a fixed filter specified for the whole image. And the potential benefits of adaptive filtering are too great to ignore. Even with the simplistic filter-choice heuristics so far discovered, adaptive filtering usually outperforms fixed filters. In particular, an adaptive filter can change behavior for successive passes of an interlaced image; a fixed filter cannot.

12.10. Text strings

Most graphics file formats include the ability to store some textual information along with the image. But many applications need more than that: they want to be able to store several identifiable pieces of text. For example, a database using PNG files to store medical X-rays would likely want to include patient's name, doctor's name, etc. A simple way to do this in PNG would be to invent new private chunks holding text. The disadvantage of such an approach is that other applications would have no idea what was in those chunks, and would simply ignore them. Instead, we recommend that text information be stored in standard tEXt chunks with suitable keywords. Use of tEXt tells any PNG viewer that the chunk contains text that might be of interest to a human user. Thus, a person looking at the file with another viewer will still be able to see the text, and even understand what it is if the keywords are reasonably self-explanatory. (To this end, we recommend spelled-out keywords, not abbreviations that will be hard for a person to understand. Saving a few bytes on a keyword is false economy.)

The ISO 8859-1 (Latin-1) character set was chosen as a compromise between functionality and portability. Some platforms cannot display anything more than 7-bit ASCII characters, while others can handle characters beyond the Latin-1 set. We felt that Latin-1 represents a widely useful and reasonably portable character set. Latin-1 is a direct subset of character sets commonly used on popular platforms such as Microsoft Windows and X Windows. It can also be handled on Macintosh systems with a simple remapping of characters.

There is presently no provision for text employing character sets other than Latin-1. We recognize that the need for other character sets will increase. However, PNG already requires that programmers implement a number of new and unfamiliar features, and text representation is not PNG's primary purpose. Since PNG provides for the creation and public registration of new ancillary chunks of general interest, we expect that text chunks for other character sets, such as Unicode, eventually will be registered and increase gradually in popularity.

12.11. PNG file signature

The first eight bytes of a PNG file always contain the following values:
   (decimal)              137  80  78  71  13  10  26  10
   (hexadecimal)           89  50  4e  47  0d  0a  1a  0a
   (ASCII C notation)    \211   P   N   G  \r  \n \032 \n

This signature both identifies the file as a PNG file and provides for immediate detection of common file-transfer problems. The first two bytes distinguish PNG files on systems that expect the first two bytes to identify the file type uniquely. The first byte is chosen as a non-ASCII value to reduce the probability that a text file may be misrecognized as a PNG file; also, it catches bad file transfers that clear bit 7. Bytes two through four name the format. The CR-LF sequence catches bad file transfers that alter newline sequences. The control-Z character stops file display under MS-DOS. The final line feed checks for the inverse of the CR-LF translation problem.

A decoder may further verify that the next eight bytes contain an IHDR chunk header with the correct chunk length; this will catch bad transfers that drop or alter null (zero) bytes.

Note that there is no version number in the signature, nor indeed anywhere in the file. This is intentional: the chunk mechanism provides a better, more flexible way to handle format extensions, as is described below.

12.12. Chunk layout

The chunk design allows decoders to skip unrecognized or uninteresting chunks: it is simply necessary to skip the appropriate number of bytes, as determined from the length field.

Limiting chunk length to (2^31)-1 bytes avoids possible problems for implementations that cannot conveniently handle 4-byte unsigned values. In practice, chunks will usually be much shorter than that anyway.

A separate CRC is provided for each chunk in order to detect badly-transferred images as quickly as possible. In particular, critical data such as the image dimensions can be validated before being used. The chunk length is excluded in order to permit CRC calculation while data is generated (possibly before the length is known, in the case of variable-length chunks); this may avoid an extra pass over the data. Excluding the length from the CRC does not create any extra risk of failing to discover file corruption, since if the length is wrong, the CRC check will fail: the CRC will be computed on the wrong set of bytes and then be tested against the wrong value from the file.

12.13. Chunk naming conventions

The chunk naming conventions allow safe, flexible extension of the PNG format. This mechanism is much better than a format version number, because it works on a feature-by-feature basis rather than being an overall indicator. Decoders can process newer files if and only if the files use no unknown critical features (as indicated by finding unknown critical chunks). Unknown ancillary chunks can be safely ignored. We decided against having an overall format version number because experience has shown that format version numbers hurt portability as much as they help. Version numbers tend to be set unnecessarily high, leading to older decoders rejecting files that they could have processed (this was a serious problem for several years after the GIF89 spec came out, for example). Furthermore, private extensions can be made either critical or ancillary, and standard decoders will react appropriately; overall version numbers are no help for private extensions.

A hypothetical chunk for vector graphics would be a critical chunk, since if ignored, important parts of the intended image would be missing. A chunk carrying the Mandelbrot set coordinates for a fractal image would be ancillary, since other applications could display the image without understanding what the image represents. In general, a chunk type should be made critical only if it is impossible to display a reasonable representation of the intended image without interpreting that chunk.

The public/private property bit ensures that any newly defined public chunk type name cannot conflict with proprietary chunks that could be in use somewhere. However, this does not protect users of private chunk names from the possibility that someone else may use the same chunk name for a different purpose. It is a good idea to put additional identifying information at the start of the data for any private chunk type.

When a PNG file is modified, certain ancillary chunks may need to be changed to reflect changes in other chunks. For example, a histogram chunk needs to be changed if the image data changes. If the file editor does not recognize histogram chunks, copying them blindly to a new output file is incorrect; such chunks should be dropped. The safe/unsafe property bit allows ancillary chunks to be marked appropriately.

Not all possible modification scenarios are covered by the safe/unsafe semantics. In particular, chunks that are dependent on the total file contents are not supported. (An example of such a chunk is an index of IDAT chunk locations within the file: adding a comment chunk would inadvertently break the index.) Definition of such chunks is discouraged. If absolutely necessary for a particular application, such chunks can be made critical chunks, with consequent loss of portability to other applications. In general, ancillary chunks can depend on critical chunks but not on other ancillary chunks. It is expected that mutually dependent information should be put into a single chunk.

In some situations it may be unavoidable to make one ancillary chunk dependent on another. Although the chunk property bits are insufficient to represent this case, a simple solution is available: in the dependent chunk, record the CRC of the chunk depended on. It can then be determined whether that chunk has been changed by some other program.

The same technique can be useful for other purposes. For example, if a program relies on the palette being in a particular order, it can store a private chunk containing the CRC of the PLTE chunk. If this value matches when the file is again read in, then it provides high confidence that the palette has not been tampered with. Note that it is not necessary to mark the private chunk unsafe-to-copy when this technique is used; thus, such a private chunk can survive other editing of the file.

12.14. Palette histograms

A viewer may not be able to provide as many colors as are listed in the image's palette. (For example, some colors could be reserved by a window system.) To produce the best results in this situation, it is helpful to have information on the frequency with which each palette index actually appears, in order to choose the best palette for dithering or drop the least-used colors. Since images are often created once and viewed many times, it makes sense to calculate this information in the encoder, although it is not mandatory for the encoder to provide it.

Other image formats have usually addressed this problem by specifying that the palette entries should appear in order of frequency of use. That is an inferior solution, because it doesn't give the viewer nearly as much information: the viewer can't determine how much damage will be done by dropping the last few colors. Nor does a sorted palette give enough information to choose a target palette for dithering, in the case that the viewer must reduce the number of colors substantially. A palette histogram provides the information needed to choose such a target palette without making a pass over the image data.

13. Appendix: Gamma Tutorial

(This appendix is not part of the formal PNG specification.)

It would be convenient for graphics programmers if all of the components of an imaging system were linear. The voltage coming from an electronic camera would be directly proportional to the intensity (power) of light in the scene, the light emitted by a CRT would be directly proportional to its input voltage, and so on. However, real-world devices do not behave in this way. All CRT displays, almost all photographic film, and many electronic cameras have nonlinear signal-to-light-intensity or intensity-to-signal characteristics.

Fortunately, it turns out that all of these nonlinear devices have a transfer function that is approximated fairly well by a single type of mathematical function: a power function. This power function has the general equation

   output = input ^ gamma
where ^ denotes exponentiation, and "gamma" (often printed using the Greek letter gamma, thus the name) is simply the exponent of the power function.

By convention, "input" and "output" are both scaled to the range 0..1, with 0 representing black and 1 representing maximum white (or red, etc). Normalized in this way, the power function is completely described by a single number, the exponent "gamma".

So, given a particular device, we can measure its output as a function of its input, fit a power function to this measured transfer function, extract the exponent, and call it gamma. We often say "this device has a gamma of 2.5" as a shorthand for "this device has a power-law response with an exponent of 2.5". We can also talk about the gamma of a mathematical transform, or of a lookup table in a frame buffer, so long as the input and output of the thing are related by the power-law expression above.

How do gammas combine?

Real imaging systems will have several components, and more than one of these can be nonlinear. If all of the components have transfer characteristics that are power functions, then the transfer function of the entire system is also a power function. The exponent (gamma) of the whole system's transfer function is just the product of all of the individual exponents (gammas) of the separate stages in the system.

Also, stages that are linear pose no problem, since a power function with an exponent of 1.0 is really a linear function. So a linear transfer function is just a special case of a power function, with a gamma of 1.0.

Thus, as long as our imaging system contains only stages with linear and power-law transfer functions, we can meaningfully talk about the gamma of the entire system. It turns out that most real imaging systems use power-law transfer functions all the way through, so this is most convenient.

What should overall gamma be?

If the overall gamma of an imaging system is 1.0, its output is linearly proportional to its input. This means that the ratio between the intensities of any two areas in the reproduced image will be the same as it was in the original scene. It might seem that this should always be the goal of an imaging system: to accurately reproduce the tones of the original scene. Alas, that is not the case.

When the reproduced image is to be viewed in "bright surround" conditions, where other white objects nearby in the room have about the same brightness as white in the image, then an overall gamma of 1.0 does indeed give real-looking reproduction of a natural scene. Photographic prints viewed under room light and computer displays in bright room light are typical "bright surround" viewing conditions.

However, sometimes images are intended to be viewed in "dark surround" conditions, where the room is substantially black except for the image. This is typical of the way movies and slides (transparencies) are viewed by projection. Under these circumstances, an accurate reproduction of the original scene results in an image that human viewers judge as "flat" and lacking in contrast. It turns out that the projected image needs to have a gamma of about 1.5 relative to the original scene for viewers to judge it "natural". Thus, slide film is designed to have a gamma of about 1.5, not 1.0.

There is also an intermediate condition called "dim surround", where the rest of the room is still visible to the viewer, but it is noticeably darker than the reproduced image itself. This is typical of television viewing, at least in the evening, as well as subdued-light computer work areas. In dim surround conditions, the reproduced image needs to have a gamma of 1.15-1.25 relative to the original scene in order to look natural.

The requirement for boosted contrast (gamma) in dark surround conditions is due to the way the human visual system works, and applies equally well to computer monitors. Thus, a PNG viewer trying to achieve the maximum realism for the images it displays really needs to know what the room lighting conditions are, and adjust the gamma of the displayed image accordingly.

If asking the user about room lighting conditions is inappropriate or too difficult, just assume that the overall gamma (viewing_gamma as defined below) should be 1.0 or 1.15. That's all that most systems that implement gamma correction do.

What is a CRT's gamma?

All CRT displays have a power-law transfer characteristic with a gamma of about 2.5. It is due to the physical processes involved in controlling the electron beam in the electron gun, and has nothing to do with the phosphor.

An exception to this rule is fancy "calibrated" CRTs that have internal electronics to alter their transfer function. If you have one of these, you probably should believe what the manufacturer tells you its gamma is. But in all other cases, assuming 2.5 is likely to be pretty accurate.

There are various images around that purport to measure gamma, usually by comparing the intensity of an area containing alternating white and black with a series of areas of continuous gray of different intensity. These are usually not reliable. Test images that use a "checkerboard" pattern of black and white are the worst, because a single white pixel will be reproduced considerably darker than a large area of white. An image that uses alternating black and white horizontal lines (such as the "gamma.png" test image at ftp://ftp.uu.net/graphics/png/images/suite/gamma.png) is much better, but even it may be inaccurate at high "picture" settings on some CRTs.

Because of the difficulty of measuring gamma, you're generally better off just assuming it's 2.5 rather than trying to measure it. (Unless you have a good photometer and the patience to make multiple measurements and fit a power function to them.)

What is gamma correction?

A CRT has a gamma of 2.5, and we can't change that. To get an overall gamma of 1.0 (or somewhere near that) for an imaging system, we need to have at least one other component of the "image pipeline" that is nonlinear. If, in fact, there is only one nonlinear stage in addition to the CRT, then it's traditional to say that the CRT has a certain gamma, and that the other nonlinear stage provides "gamma correction" to compensate for the CRT. However, exactly where the "correction" is done depends on circumstance:

In video systems, gamma correction is done in the camera. This goes back to the days when television was all analog. The camera has a transfer characteristic with a gamma of 0.45. Combined with the CRT gamma of 2.5, the image on screen ends up with a gamma of 1.15 relative to the original scene, which is appropriate for "dim surround" viewing.

These days, video signals are often digitized and stored in computer frame buffers. This works fine, but remember that the gamma correction is "built into" the video signal, and so the digitized video has a gamma of 0.45 relative to the original scene.

Computer rendering programs often produce linear samples. To display these correctly, intensity on the CRT must be directly proportional to the sample values in the frame buffer. This can be done with a special hardware lookup table between the frame buffer and the CRT hardware. The lookup table (often called LUT) is loaded with a mapping that implements a power function with a gamma of 0.45, thus providing "gamma correction" for the CRT gamma.

Thus, gamma correction sometimes happens before the frame buffer, sometimes after. As long as images created in a particular environment are always displayed in that environment, everything is fine. But when people try to exchange images, differences in gamma correction conventions often results in images that seem far too bright and washed out, or far too dark and contrasty.

Gamma-corrected samples are good

So, is it better to do gamma correction before or after the frame buffer?

In an ideal world, sample values would be stored in floating point, there would be lots of precision, and it wouldn't really matter much. But in reality, we're always trying to store images in as few bits as we can.

If we decide to use samples that are linearly proportional to intensity, and do the gamma correction in the frame buffer LUT, it turns out that we need to use at least 12 bits for each of red, green, and blue to have enough precision in intensity. With any less than that, we will sometimes see "contour bands" or "Mach bands" in the darker areas of the image, where two adjacent sample values are still far enough apart in intensity for the difference to be visible.

However, through an interesting coincidence, the human eye's subjective perception of brightness is related to the physical stimulation of light intensity in a manner that is very much like the power function used for gamma correction. If we apply gamma correction to measured (or calculated) light intensity before quantizing to an integer for storage in a frame buffer, it turns out we can get away with using many fewer bits to store the image. In fact, 8 bits per color is almost always sufficient to avoid contouring artifacts. This is because, since gamma correction is so closely related to human perception, we are assigning our 256 available sample codes to intensity values in a manner that approximates how visible those intensity changes are to the eye. Compared to a linear-sample image, we allocate fewer sample values to brighter parts of the tonal range and more sample values to the darker portions of the tonal range.

Thus, for the same apparent image quality, images using gamma-corrected sample values need only about two-thirds as many bits of storage as images using linear samples.

General gamma handling

When there are more than two nonlinear transfer functions involved in the image pipeline, the term "gamma correction" becomes too vague. If we consider a pipeline that involves capturing (or calculating) an image, storing it in an image file, reading the file, and displaying the image on some sort of display screen, there are at least 5 places in the pipeline that could have nonlinear transfer functions. Let's give each a specific name for their characteristic gamma:
camera_gamma
the characteristic of the image sensor
encoding_gamma
the gamma of any transformation performed by the software writing the image file
decoding_gamma
the gamma of any transformation performed by the software reading the image file
LUT_gamma
the gamma of the frame buffer LUT, if present
CRT_gamma
the gamma of the CRT, generally 2.5
In addition, let's add a few other names:
file_gamma
the gamma of the image in the file, relative to the original scene. This is
   file_gamma = camera_gamma * encoding_gamma
display_gamma
the gamma of the "display system" downstream of the frame buffer. This is
   display_gamma = LUT_gamma * CRT_gamma
viewing_gamma
the overall gamma that we want to obtain to produce pleasing images --- generally 1.0 to 1.5.
The file_gamma value, as defined above, is what goes in the gAMA chunk in a PNG file.

When displaying an image file, the image decoding program is responsible for making the overall gamma of the system equal to the desired viewing_gamma, by selecting the decoding_gamma appropriately. When displaying a PNG file, the gAMA chunk provides the file_gamma value. The display_gamma may be known for this machine, or it might be obtained from the system software, or the user might have to be asked what it is. The correct viewing_gamma depends on lighting conditions, and that will generally have to come from the user.

Ultimately, you should have

   file_gamma * decoding_gamma * display_gamma = viewing_gamma

Some specific examples

In digital video systems, camera_gamma is 0.45 by declaration of the various video standards documents. (Actually the transfer function is slightly more complicated than a power law, but it is close enough for our purposes.) CRT_gamma is 2.5 as usual, while encoding_gamma, decoding_gamma, and LUT_gamma are all 1.0.

On frame buffers that have hardware gamma correction tables, and that are calibrated to display linear samples correctly, display_gamma is 1.0.

Many workstations and X terminals and PC displays lack gamma correction lookup tables. Here, assume that display_gamma is 2.5.

On the Macintosh, there is a LUT. By default, it is loaded with a table whose gamma is about 0.72, giving a display_gamma (LUT and CRT combined) of about 1.8. Some Macs have a "gamma" control panel that allows gamma to be changed to 1.0, 1.2, 1.4, 1.8, or 2.2. These settings load alternate LUTs that are designed to give a display_gamma that is equal to the label on the selected button. Thus, the "gamma" control panel setting can be used directly as display_gamma in decoder calculations.

On recent SGI systems, there is a hardware gamma-correction table whose contents are controlled by the (privileged) "gamma" program. The gamma of the table is actually the reciprocal of the number that "gamma" prints, and it does not include the CRT gamma. To obtain the display_gamma, you need to find the SGI system gamma (either by looking in a file, or asking the user) and then calculating

   display_gamma = 2.5 / SGI_system_gamma
You will find SGI systems with the system gamma set to 1.0 and 2.2 (or higher), but the default when machines are shipped is 1.7.

Further reading

If you have access to the World Wide Web, read Charles Poynton's excellent "Gamma FAQ" [GAMMA-FAQ], which explains gamma in more detail than we have room for here.

14. Appendix: Color Tutorial

(This appendix is not part of the formal PNG specification.)

About chromaticity

The cHRM chunk is used, together with the gAMA chunk, to convey precise color information so that a PNG image can be displayed or printed with better color fidelity than is possible without this information. The preceding chapters state how this information is encoded in a PNG image. This tutorial briefly outlines the underlying color theory for those who might not be familiar with it.

Note that displaying an image with incorrect gamma will produce much larger color errors than failing to use the chromaticity data. First be sure the monitor set-up and gamma correction are right, then worry about chromaticity.

The problem

The color of an object depends not only on the precise spectrum of light emitted or reflected from it, but also on the observer --- their species, what else they can see at the same time, even what they have recently looked at! Furthermore, two very different spectra can produce exactly the same color sensation! Color is not an objective property of real-world objects; it is a subjective, biological sensation. However, by making some simplifying assumptions (such as: we are talking about human vision) it is possible to produce a mathematical model of color and thereby obtain good color accuracy.

Device dependent color

Display the same RGB data on three different monitors, side by side, and you will get a noticeably different color balance on each display. This is because each monitor emits a slightly different shade and intensity of red, green, and blue light. RGB is an example of a device dependent color model --- the color you get depends on the device. This also means that a particular color --- represented as say RGB 87, 146, 116 on one monitor --- might have to be specified as RGB 98, 123, 104 on another to produce the same color.

Device independent color

A full physical description of a color would require specifying the exact spectral power distribution of the light source. Fortunately, the human eye and brain are not so sensitive as to require exact reproduction of a spectrum. Mathematical, device-independent color models exist that describe fairly well how a particular color will be seen by humans. The most important device independent color model, to which all others can be related, was developed by the International Lighting Committee (CIE, in French) and is called XYZ.

In XYZ, X is the sum of a weighted power distribution over the whole visible spectrum. So are Y and Z, each with different weights. Thus any arbitrary spectral power distribution is condensed down to just three floating point numbers. The weights were derived from color matching experiments done on human subjects in the 1920s. CIE XYZ has been an International Standard since 1931, and it has a number of useful properties:

Color models based on XYZ have been used for many years by people who need accurate control of color --- lighting engineers for film and TV, paint and dyestuffs manufacturers, and so on. They are thus proven in industrial use. Accurate, device independent color started to spread from high-end, specialized areas into the mainstream during the late 1980s and early 1990s, and PNG takes notice of that trend.

Calibrated, device dependent color

Traditionally, image file formats have used uncalibrated, device dependent color. If the precise details of the original display device are known, it becomes possible to convert the device dependent colors of a particular image to device independent ones. Making simplifying assumptions, such as working with CRTs (which are much easier than printers), all we need to know are the XYZ values of each primary color and the CRT_gamma.

So why does PNG not store images in XYZ instead of RGB? Well, two reasons. Firstly, storing images in XYZ would require more bits of precision, which would make the files bigger. Secondly, all programs would have to convert the image data before viewing it. Whether calibrated or not, all variants of RGB are close enough that undemanding viewers can get by with simply displaying the data without color correction. By storing calibrated RGB, PNG retains compatibility with existing programs that expect RGB data, yet provides enough information for conversion to XYZ in applications that need precise colors. Thus, we get the best of both worlds.

What are chromaticity and luminance?

Chromaticity is an objective measurement of the color of an object, leaving aside the brightness information. Chromaticity uses two parameters x and y, which are readily calculated from XYZ:
       x = X / (X + Y + Z)
       y = Y / (X + Y + Z)

XYZ colors having the same chromaticity values will appear to have the same hue, but can vary in absolute brightness. Notice that x,y are dimensionless ratios, so they have the same values no matter what units we've used for X,Y,Z.

The Y value of an XYZ color is directly proportional to its absolute brightness, and is called the luminance of the color. We can describe a color either by XYZ coordinates or by chromaticity x,y plus luminance Y. The XYZ form has the advantage that it is linearly related to (linear, gamma=1.0) RGB color spaces.

How are computer monitor colors described?

The "white point" of a monitor is the chromaticity x,y of the monitor's nominal white, that is, the color produced when R=G=B=maximum.

It's customary to specify monitor colors by giving the chromaticities of the individual phosphors R, G, and B, plus the white point. The white point allows one to infer the relative brightnesses of the three phosphors, which isn't determined by their chromaticities alone.

Note that the absolute brightness of the monitor is not specified. For computer graphics work, we generally don't care very much about absolute brightness levels. Instead of dealing with absolute XYZ values (in which X,Y,Z are expressed in physical units of radiated power, such as candelas per square meter), it is convenient to work in "relative XYZ" units, where the monitor's nominal white is taken to have a luminance (Y) of 1.0. Given this assumption, it's simple to compute XYZ coordinates for the monitor's white, red, green, and blue from their chromaticity values.

Why does cHRM use x,y rather than XYZ? Simply because that is how manufacturers print the information in their spec sheets! Usually, the first thing a program will do is convert the cHRM chromaticities into relative XYZ space.

What can I do with it?

If a PNG file has the gAMA and cHRM chunks, the source_RGB values can be converted to XYZ. This lets you:

How do I convert from source_RGB to XYZ?

Make a few simplifying assumptions first, like the monitor really is jet black with no input and the guns don't interfere with one another. Then, given that you know the CIE XYZ values for each of red, green, and blue for a particular monitor, you put them into a matrix m:
           Xr Xg Xb
      m =  Yr Yg Yb
           Zr Zg Zb
Here we assume we are working with linear RGB floating point data in the range 0..1. If the gamma is not 1.0, make it so on the floating point data. Then convert source_RGB to XYZ by matrix multiplication:
      X     R
      Y = m G
      Z     B
In other words, X = Xr*R + Xg*G + Xb*B, and similarly for Y and Z. You can go the other way too:
      R      X
      G = im Y
      B      Z
where im is the inverse of the matrix m.

What is a gamut?

The gamut of a device is the subset of visible colors which that device can display. (It has nothing to do with gamma.) The gamut of an RGB device can be visualized as a polyhedron in XYZ space; the vertices correspond to the device's black, blue, red, green, magenta, cyan, yellow and white.

Different devices have different gamuts, in other words one device will be able to display certain colors (usually highly saturated ones) that another device cannot. The gamut of a particular RGB device can be determined from its R, G, and B chromaticities and white point (the same values given in the cHRM chunk). The gamut of a color printer is more complex and can only be determined by measurement. However, printer gamuts are typically smaller than monitor gamuts, meaning that there can be many colors in a displayable image that cannot physically be printed.

Converting image data from one device to another generally results in gamut mismatches --- colors that cannot be exactly represented on the destination device. The process of making the colors fit, which can range from a simple clip to elaborate nonlinear scaling transformations, is termed gamut mapping. The aim is to produce a reasonable visual representation of the original image.

Further reading

References [COLOR-1] through [COLOR-5] provide more detail about color theory.

15. Appendix: Sample CRC Code

The following sample code represents a practical implementation of the CRC (Cyclic Redundancy Check) employed in PNG chunks. (See also ISO 3309 [ISO-3309] or ITU-T V.42 [ITU-V42] for a formal specification.)

The sample code is in the ANSI C programming language. Non C users may find it easier to read with these hints:

&
Bitwise AND operator.
^
Bitwise exclusive-OR operator. (Caution: elsewhere in this document, ^ represents exponentiation.)
>>
Bitwise right shift operator. When applied to an unsigned quantity, as here, right shift inserts zero bit(s) at the left.
!
Logical NOT operator.
++
"n++" increments the variable n.
0xNNN
0x introduces a hexadecimal (base 16) constant. Suffix L indicates a long value (at least 32 bits).

   /* Table of CRCs of all 8-bit messages. */
   unsigned long crc_table[256];
   
   /* Flag: has the table been computed? Initially false. */
   int crc_table_computed = 0;
   
   /* Make the table for a fast CRC. */
   void make_crc_table(void)
   {
     unsigned long c;
     int n, k;
   
     for (n = 0; n < 256; n++) {
       c = (unsigned long) n;
       for (k = 0; k < 8; k++) {
         if (c & 1)
           c = 0xedb88320L ^ (c >> 1);
         else
           c = c >> 1;
       }
       crc_table[n] = c;
     }
     crc_table_computed = 1;
   }
   
   /* Update a running CRC with the bytes buf[0..len-1]--the CRC
      should be initialized to all 1's, and the transmitted value
      is the 1's complement of the final running CRC (see the
      crc() routine below)). */
   
   unsigned long update_crc(unsigned long crc, unsigned char *buf,
                            int len)
   {
     unsigned long c = crc;
     int n;
   
     if (!crc_table_computed)
       make_crc_table();
     for (n = 0; n < len; n++) {
       c = crc_table[(c ^ buf[n]) & 0xff] ^ (c >> 8);
     }
     return c;
   }
   
   /* Return the CRC of the bytes buf[0..len-1]. */
   unsigned long crc(unsigned char *buf, int len)
   {
     return update_crc(0xffffffffL, buf, len) ^ 0xffffffffL;
   }

16. Appendix: Online Resources

(This appendix is not part of the formal PNG specification.)

This appendix gives the locations of some Internet resources for PNG software developers. By the nature of the Internet, the list is incomplete and subject to change.

Archive sites

The latest released versions of this document and related information can always be found at the PNG FTP archive site, ftp://ftp.uu.net/graphics/png/. The PNG specification is available in several formats, including HTML, plain text, and PostScript.

Reference implementation and test images

A reference implementation in portable C is available from the PNG FTP archive site, ftp://ftp.uu.net/graphics/png/src/. The reference implementation is freely usable in all applications, including commercial applications.

Test images are available from ftp://ftp.uu.net/graphics/png/images/.

Electronic mail

The maintainers of the PNG specification can be contacted by e-mail at png-info@uunet.uu.net.

PNG home page

A World Wide Web home page for PNG has been established at http://quest.jpl.nasa.gov/PNG/. This page is a central location for current information about PNG and PNG-related tools.

17. Appendix: Revision History

(This appendix is not part of the formal PNG specification.)

The PNG format has been frozen since the Ninth Draft of March 7, 1995, and all future changes are intended to be backwards compatible. The revisions since the Ninth Draft are simply clarifications, improvements in presentation, and additions of supporting material.

Changes since the Tenth Draft of 5 May, 1995

18. References

[COLOR-1]
Hall, Roy, Illumination and Color in Computer Generated Imagery. Springer-Verlag, New York, 1989. ISBN 0-387-96774-5.
[COLOR-2]
Kasson, J., and W. Plouffe, "An Analysis of Selected Computer Interchange Color Spaces", ACM Transactions on Graphics, vol 11 no 4 (1992), pp 373-405.
[COLOR-3]
Lilley, C., F. Lin, W.T. Hewitt, and T.L.J. Howard, Colour in Computer Graphics. CVCP, Sheffield, 1993. ISBN 1-85889-022-5.
[COLOR-4]
Stone, M.C., W.B. Cowan, and J.C. Beatty, "Color gamut mapping and the printing of digital images", ACM Transactions on Graphics, vol 7 no 3 (1988), pp 249-292.
[COLOR-5]
Travis, David, Effective Color Displays --- Theory and Practice. Academic Press, London, 1991. ISBN 0-12-697690-2.
[DEFLATE]
Deutsch, L.P., "DEFLATE Compressed Data Format Specification version 1.3", Internet-Draft <draft-deutsch-deflate-spec-01.txt> (work in progress).
Also available from
<URL:ftp://ftp.uu.net/pub/archiving/zip/doc/deflate-1.3.doc>
[GAMMA-FAQ]
Poynton, C., "Gamma FAQ".
<URL:http://www.inforamp.net/~poynton/Poynton-colour.html>
[ISO-3309]
International Organization for Standardization, "Information Processing Systems --- Data Communication High-Level Data Link Control Procedure --- Frame Structure", IS 3309, October 1984, 3rd Edition.
[ISO-8859]
International Organization for Standardization, "Information Processing --- 8-bit Single-Byte Coded Graphic Character Sets --- Part 1: Latin Alphabet No. 1", IS 8859-1, 1987.
Also see sample files at
ftp://ftp.uu.net/graphics/png/documents/iso_8859-1.*
[ITU-BT709]
International Telecommunications Union, "Basic Parameter Values for the HDTV Standard for the Studio and for International Programme Exchange", ITU-R Recommendation BT.709 (formerly CCIR Rec. 709), 1990.
[ITU-V42]
International Telecommunications Union, "Error-correcting Procedures for DCEs Using Asynchronous-to-Synchronous Conversion", ITU-T Recommendation V.42, 1994, Rev. 1.
[PAETH]
Paeth, A.W., "Image File Compression Made Easy", in Graphics Gems II, James Arvo, editor. Academic Press, San Diego, 1991. ISBN 0-12-064480-0.
[POSTSCRIPT]
Adobe Systems Incorporated, PostScript Language Reference Manual, 2nd edition. Addison-Wesley, Reading, 1990. ISBN 0-201-18127-4.
[PNG-EXTENSIONS]
PNG Group, "PNG Special-Purpose Public Chunks". Available in several formats from
ftp://ftp.uu.net/graphics/png/documents/pngextensions.*
[RFC-1123]
Braden, R., Editor, "Requirements for Internet Hosts --- Application and Support", STD 3, RFC 1123, USC/Information Sciences Institute, October 1989.
<URL:ftp://ds.internic.net/rfc/rfc1123.txt>
[RFC-1521]
Borenstein, N., and N. Freed, "MIME (Multipurpose Internet Mail Extensions) Part One: Mechanisms for Specifying and Describing the Format of Internet Message Bodies", RFC 1521, Bellcore, Innosoft, September 1993.
<URL:ftp://ds.internic.net/rfc/rfc1521.txt>
[RFC-1590]
Postel, J., "Media Type Registration Procedure", RFC 1590, USC/Information Sciences Institute, March 1994.
<URL:ftp://ds.internic.net/rfc/rfc1590.txt>
[ZLIB]
Deutsch, L.P. and J. Gailly, "ZLIB Compressed Data Format Specification version 3.3", Internet-Draft <draft-deutsch-zlib-spec-01.txt> (work in progress).
Also available from
<URL:ftp://ftp.uu.net/pub/archiving/zip/doc/zlib-3.3.doc>

19. Credits

Editor

Thomas Boutell, boutell@boutell.com

Contributing Editor

Tom Lane, tgl@sss.pgh.pa.us

Authors

Authors' names are presented in alphabetical order.

The authors wish to acknowledge the contributions of the Portable Network Graphics mailing list and the readers of comp.graphics.

Trademarks

GIF is a service mark of CompuServe Incorporated. IBM PC is a trademark of International Business Machines Corporation. Macintosh is a trademark of Apple Computer, Inc. Microsoft and MS-DOS are trademarks of Microsoft Corporation. PostScript and TIFF are trademarks of Adobe Systems Incorporated. SGI is a trademark of Silicon Graphics, Inc. X Window System is a trademark of the Massachusetts Institute of Technology.

COPYRIGHT NOTICE

Copyright © 1996 by: Massachusetts Institute of Technology (MIT)

This W3C specification is being provided by the copyright holders under the following license. By obtaining, using and/or copying this specification, you agree that you have read, understood, and will comply with the following terms and conditions:

Permission to use, copy, and distribute this specification and its documentation for any purpose and without fee or royalty is hereby granted, provided that the full text of this NOTICE appears on ALL copies of the specification and documentation or portions thereof, including modifications, that you make.

THIS SPECIFICATION IS PROVIDED "AS IS," AND COPYRIGHT HOLDERS MAKE NO REPRESENTATIONS OR WARRANTIES, EXPRESS OR IMPLIED. BY WAY OF EXAMPLE, BUT NOT LIMITATION, COPYRIGHT HOLDERS MAKE NO REPRESENTATIONS OR WARRANTIES OF MERCHANTABILITY OR FITNESS FOR ANY PARTICULAR PURPOSE OR THAT THE USE OF THE SPECIFICATION OR DOCUMENTATION WILL NOT INFRINGE ANY THIRD PARTY PATENTS, COPYRIGHTS, TRADEMARKS OR OTHER RIGHTS. COPYRIGHT HOLDERS WILL BEAR NO LIABILITY FOR ANY USE OF THIS SPECIFICATION OR DOCUMENTATION.

The name and trademarks of copyright holders may NOT be used in advertising or publicity pertaining to the specification without specific, written prior permission. Title to copyright in this specification and any associated documentation will at all times remain with copyright holders.

End of PNG Specification