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