Parametric Continuous and Smooth Motion Interpolation

Author:

Srinivasan L. N.1,Ge Q. J.1

Affiliation:

1. Department of Mechanical Engineering, State University of New York at Stony Brook, Stony Brook, NY 11794-2300

Abstract

This paper deals with the synthesis of a second order parametrically continuous (C2) motion that interpolates through a given set of configurations of an object. It derives conditions for blending two motion segments with C2 continuity and develops an algorithm for constructing a C2 composite Be´zier type motion that has similarities to Beta-splines in the field of Computer Aided Geometric Design. A criterion for evaluating the smoothness of a motion is established and is used to synthesize a “globally smooth” motion. The results have applications in trajectory generation in robotics, mechanical systems animation and CAD/CAM.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Reference28 articles.

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3. Boehm, W., 1987, “Smooth Curves and Surfaces,” Geometric Modeling: Algorithms and New Trends, G. Farin, ed., SIAM, Philadelphia, PA, pp. 175–184.

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