Cardinal Spline
- Our initial problem: set of multiple keyframes position+time
- Two solutions
- - Hermite representation: Set explicitely derivatives for each keyframe - can be teadious.
- - Cardinal Spline: Compute automatically plausible derivatives from surrounding samples (finite differences)
- Set \(\displaystyle d_i=\mu\; \frac{p_{i+1}-p_{i-1} }{t_{i+1}-t_{i-1}}\)
-
- - \(\mu\) curve tension \(\in[0,2]\)
- - \(\mu=1\) commonly used
-
- Called: Catmull Rom Spline