CatmullRomSpline class

A 2D spline that passes smoothly through the given control points using a centripetal Catmull-Rom spline.

When the curve is evaluated with transform, the output values will move smoothly from one control point to the next, passing through the control points.

Unlike most cubic splines, Catmull-Rom splines have the advantage that their curves pass through the control points given to them. They are cubic polynomial representations, and, in fact, Catmull-Rom splines can be converted mathematically into cubic splines. This class implements a "centripetal" Catmull-Rom spline. The term centripetal implies that it won't form loops or self-intersections within a single segment.

See also:

• Centripetal Catmull–Rom splines on Wikipedia.
• Parameterization and Applications of Catmull-Rom Curves, a paper on using Catmull-Rom splines.
• CatmullRomCurve, an animation curve that uses a CatmullRomSpline as its internal representation.