Abstract
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.
| Original language | English |
|---|---|
| Pages | 1079-1085 |
| Number of pages | 7 |
| DOIs | |
| State | Published - 2003 |
| Event | 2003 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Chicago, IL, United States Duration: Sep 2 2003 → Sep 6 2003 |
Conference
| Conference | 2003 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference |
|---|---|
| Country/Territory | United States |
| City | Chicago, IL |
| Period | 09/2/03 → 09/6/03 |
Keywords
- Animation
- Bézier and B-Spline curves
- Dual quaternions
- Dual weights
- Kinematic mapping
- Motion approximation and interpolation
- Path planning
- Rational motion design
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