A compact model for conducting gestures uses cyclic cubic Hermite segments with horizontal tangents for geometry and a quintic timing law for motion, controlled by one expressiveness parameter.
Farin,Curves and Surfaces for Computer-Aided Geometric Design, Academic Press
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A Minimal Mathematical Model for Conducting Patterns
A compact model for conducting gestures uses cyclic cubic Hermite segments with horizontal tangents for geometry and a quintic timing law for motion, controlled by one expressiveness parameter.