Modifying the shape of NURBS surfaces with geometric constraints

被引：128

作者：

Hu, SM ^{[1
]}

Li, YF

Ju, T

Zhu, X

机构：

[1] Tsing Hua Univ, Dept Comp Sci & Technol, Beijing 100084, Peoples R China

[2] City Univ Hong Kong, Dept Mfg Engn & Engn Management, Kowloon, Hong Kong, Peoples R China

来源：

COMPUTER-AIDED DESIGN | 2001年 / 33卷 / 12期

基金：

中国国家自然科学基金;

关键词：

shape modification; NURBS; energy minimization; constrained optimization; highlight line;

D O I：

10.1016/S0010-4485(00)00115-9

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

NURBS surfaces are among the most commonly used parametric surfaces in CAGD and Computer Graphics. This paper investigates shape modification of NURBS surfaces with geometric constraints, such as point, normal vector, and curve constraints. Two new methods are presented by constrained optimization and energy minimization. The former is based on minimizing changes in control net of surfaces, whereas the latter is based on strain energy minimization. By these two methods, we change control points and weights of an original surface, such that the modified surface satisfies the given constraints. Comparison results and practical examples are also given. (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：903 / 912

页数：10

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