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Spline Types and Animation

Different spline types will have different tradeoffs and capabilities:

Give automatic continuity control, but only approximate their control points.
Non-uniform B-splines:
Are needed to break continuity.
Non-uniform Rational B-splines (NURBS):
Provide additional local control over the shape of a curve.
Bézier splines:
Require additional information for each segment and do not automatically maintain continuity. However, they do interpolate the ends of segments.
Hermite splines:
Require tangent vectors at each keyframe.
Catmull-Rom splines:
Provide only first derivative continuity.
Provide automatic continuity, control over the tangent and approximate arc length of each segment.

CS488/688: Introduction to Interactive Computer Graphics
University of Waterloo
Computer Graphics Lab