Curvature of singular Bezier curves and surfaces

被引：4
|
作者：
Sederberg, Thomas W. [1 ]
Lin, Hongwei [2 ]
Li, Xin [3 ]
机构：
[1] Brigham Young Univ, Dept Comp Sci, Provo, UT 84602 USA
[2] Zhejiang Univ, State Key Lab CAD&CG, Hangzhou 310058, Zhejiang, Peoples R China
[3] Univ Sci & Technol China, Dept Math, Hefei 230026, Peoples R China
来源：
COMPUTER AIDED GEOMETRIC DESIGN | 2011年 / 28卷 / 04期
关键词：
Curvature; Singular points; Bezier curves; Bezier surface patches; PATCHES;
D O I：
10.1016/j.cagd.2011.03.004
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
This paper presents a general approach for finding the limit curvature at a singular endpoint of a rational Bezier curve and the singular corner of a rational Bezier surface patch. Conditions for finite Gaussian and mean limit curvatures are expressed in terms of the rank of a matrix. (C) 2011 Elsevier B.V. All rights reserved.
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页码：233 / 244
页数：12
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