Improved bounds on partial derivatives of rational triangular Bezier surfaces

被引：4
|
作者：
Hu, Qian-Qian
Wang, Guo-Jin [1 ]
机构：
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
来源：
COMPUTER-AIDED DESIGN | 2007年 / 39卷 / 12期
基金：
中国国家自然科学基金;
关键词：
rational Bezier curve; rational triangular Bezier surface; bivariate Bernstein basis; bound on derivative;
D O I：
10.1016/j.cad.2007.08.004
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
This paper applies inequality skill, degree elevation of triangular Bezier surfaces and difference operators to deduce the bounds on first and second partial derivatives of rational triangular Bezier surfaces. Further more, we prove that the new bounds are tighter and more effective than the known ones. All the results are obviously helpful for further optimization of geometric design systems. (C) 2007 Elsevier Ltd. All rights reserved.
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页码：1113 / 1119
页数：7
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