A cubic Hermite spline is a third-degree spline made from two control points and two control tangents.
A Cardinal curve has multiple segments, each one a cubic Hermite spline, whose tangents are constrained to be continuous over each adjoining pair of segments and whose smoothness is controlled by a tension parameter.
A Catmull-Rom curve is a Cardinal curve where the tension is zero.
This family of curves produce a smooth curve that passes through each control point. (This is an advantage over most 'smoothing curves' which pass near, but not through, the points).
- Doug Shepers blog post
- Wikipedia on Cubic Hermite splines
- Wikipedia on Catmull-Rom splines
- Intro to Catmull-Rom splines
Resolved 27-Jul-2011 at Seattle f2f we will add a Catmull Rom syntax to the path syntax with a tension parameter to control the whole curve (not per-point control). um so, actually Cardinal curves, then?
Related ACTION-3085: Make a Catmull Rom editor that takes variable tension parameters on Doug.