Computer-Aided Design With Spatial Rational B-Spline Motions

[+] Author and Article Information
B. Jüttler

University of Dundee, Scotland

M. G. Wagner

University of California, Davis, Davis, CA

J. Mech. Des 118(2), 193-201 (Jun 01, 1996) (9 pages) doi:10.1115/1.2826869 History: Received February 01, 1995; Revised December 01, 1995; Online December 11, 2007


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.

Copyright © 1996 by The American Society of Mechanical Engineers
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