PROJECTIVE TRANSFORMATIONS OF THE PARAMETER OF A BERNSTEIN-BEZIER CURVE

被引：37

作者：

PATTERSON, RR ^{[1
]}

机构：

[1] INDIANA UNIV PURDUE UNIV,DEPT MATH SCI,INDIANAPOLIS,IN 46223

来源：

ACM TRANSACTIONS ON GRAPHICS | 1985年 / 4卷 / 04期

关键词：

Interactive computer graphics - Three dimensional computer graphics;

D O I：

10.1145/6116.6119

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

The definitions of polynomial and rational Bernstein-Bézier curves are reviewed and extended to include homogeneous parametrizations. Then the effects of a projective transformation of the parameter space are described in terms of a group representation. This representation is used to answer the following questions: (1) If the control points are held fixed, when do two different sets of weights determine the same rational curve? (2) How do we find the control points for a subdivision of the original curve? © 1985 ACM.

引用

页码：276 / 290

页数：15

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