Conditions for Parametric and Geometric Coincidence of Two Rational Curves

被引:2
作者
YING Hui-fen(Hangzhou Wanxiang Polytechnic
机构
关键词
rational curve; weights; control points; rank of matrix;
D O I
10.19583/j.1003-4951.2007.01.011
中图分类号
TP391.41 [];
学科分类号
080203 ;
摘要
Necessary and sufficient conditions for the relationship of weights and control points of two parametrically and geometrically coincident rational Bézier or NURBS curves are discussed in detail. The method is based on the reduction of matrices and transformation between rational Bézier curves and NURBS curves.
引用
收藏
页码:73 / 79
页数:7
相关论文
共 3 条
[1]  
Computer aided geometric design. Wang,G J,Wang G Z,Zheng J M. . 2001
[2]  
Fundamentals of computer aided geometric design. Hoschek J,Lasser D. . 1993
[3]  
The NURBS book. Piegl L,Tiller W. . 1997