GEOMETRIC CONSTRUCTION OF BEZIER MOTIONS

被引：55

作者：

GE, QJ

RAVANI, B

机构：

[1] Department of Mechanical Engineering, State University of New York at Stony Brook, Stony Brook, NY

[2] Department of Mechanical and Aeronautical Engineering, University of California at Davis, Davis, CA

来源：

JOURNAL OF MECHANICAL DESIGN | 1994年 / 116卷 / 03期

关键词：

D O I：

10.1115/1.2919446

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper deals with discrete computational geometry of motion. It combines concepts from the fields of kinematics and computer aided geometric design and develops a computational geometric framework for geometric construction of motions useful in mechanical systems animation, robot trajectory planning and key framing in computer graphics. In particular, screw motion interpolants are used in conjunction with deCasteljau-type methods to construct Bezier motions. The properties of the resulting Bezier motions are studied and it is shown that the Bezier motions obtained by application of the deCasteljau construction are not, in general, of polynomial type and do not possess the useful subdivision property of Bernstein-Bezier curves. An alternative form of deCasteljau algorithm is presented that results in Bezier motions with subdivision property and Bernstein basis function. The results are illustrated by examples.

引用

页码：749 / 755

页数：7

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