The effect of weights on curves and surface design is a well-researched topic in Computer Aided Geometric Design (CAGD). However, the influence of weights in the realm of rational motion approximation and interpolation has been largely unexplored. In this paper, we present a thorough mathematical exposition on the influence of weights on rational motion design. This leads naturally to providing the motion designer with guidelines on how to use weights for rational motion design. Several examples are presented towards the end.

Volume Subject Area:
Design Automation
Keywords:
rational motion design, motion approximation and interpolation, Be´zier and B-Spline curves, dual weights, kinematic mapping, dual quaternions, animation, path planning
Topics:
Approximation, Design, Interpolation
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Copyright © 2003
 by ASME
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