Computer Aided Geometric Design of Two-Parameter Freeform Motions

[+] Author and Article Information
Q. J. Ge, M. Sirchia

Department of Mechanical Engineering, State University of New York, Stony Brook, New York 11794-2300

J. Mech. Des 121(4), 502-506 (Dec 01, 1999) (5 pages) doi:10.1115/1.2829489 History: Received May 01, 1998; Revised October 01, 1999; Online December 11, 2007


This paper brings together the notion of analytically defined two-parameter motion in Theoretical Kinematics and the notion of freeform surfaces in Computer Aided Geometric Design (CAGD) to develop methods for computer aided design of two-parameter freeform motions. In particular, a rational Bézier representation for two-parameter freeform motions is developed. It has been shown that the trajectory surface of such a motion is a tensor-product rational Bézier surface and that such a kinematically generated surface has a geometric as well as a kinematic control structure. The results have not only theoretical interest in CAGD and kinematics but also applications in CAD/CAM and Robotics.

Copyright © 1999 by The American Society of Mechanical Engineers
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