Motion Interpolation With G2 Composite Bézier Motions

[+] Author and Article Information
Q. J. Ge, Donglai Kang

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

J. Mech. Des 117(4), 520-525 (Dec 01, 1995) (6 pages) doi:10.1115/1.2826713 History: Received March 01, 1994; Revised May 01, 1995; Online December 11, 2007


This paper deals with smooth motion interpolation. It presents two geometric algorithms for synthesizing composite Bézier motions with second-order geometric continuity (G2 ). The first one is a direct algorithm for constructing a G2 spline motion that approximates a set of displacements; the second one is an inverse design algorithm for a G2 spline motion that interpolates through a set of displacements. The results are useful for computer aided motion animation, and Cartesian trajectory generation for CNC machines and robot manipulators.

Copyright © 1995 by The American Society of Mechanical Engineers
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