Computer-Aided Design With Spatial Rational B-Spline Motions
- 1 June 1996
- journal article
- Published by ASME International in Journal of Mechanical Design
- Vol. 118 (2) , 193-201
- https://doi.org/10.1115/1.2826869
Abstract
Using rational motions it is possible to apply many fundamental B-spline techniques to the design of motions. The present paper summarizes the basic theory of rational motions and introduces a linear control structure for piecewise rational motions suitable for geometry processing. Moreover it provides algorithms for the calculation of the surface which is swept out by a moving polyhedron and examines interpolation techniques. The methods presented in this paper can be applied to various problems in computer animation as well as in robotics.Keywords
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