Computer Aided Geometric Design of Motion Interpolants

[+] Author and Article Information
Q. J. Ge

Department of Mechanical Engineering, State University of New York at Stony Brook, Stony Brook, NY 11794

B. Ravani

Department of Mechanical and Aeronautical Engineering, University of California at Davis, Davis, CA 95616

J. Mech. Des 116(3), 756-762 (Sep 01, 1994) (7 pages) doi:10.1115/1.2919447 History: Received February 01, 1991; Revised January 01, 1994; Online June 02, 2008


This paper studies continuous computational geometry of motion and develops a method for Computer Aided Geometric Design (CAGD) of motion interpolants. The approach uses a mapping of spatial kinematics to convert the problem of interpolating displacements to that of interpolating points in the space of the mapping. To facilitate the point interpolation, the previously unorientable mapping space is made orientable. Methods are then developed for designing spline curves in the mapping space with tangent, curvature and torsion continuities. The results have application in computer animation of three-dimensional objects used in computer graphics, computer vision and simulation of mechanical systems.

Copyright © 1994 by The American Society of Mechanical Engineers
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