Fairing geometric modeling based on 4-point interpolatory subdivision scheme

被引：8

作者：

Luo, XN ^{[1
]}

Liu, N ^{[1
]}

Gao, CY ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Comp Applicat Inst, Guangzhou 510275, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2004年 / 163卷 / 01期

基金：

中国国家自然科学基金;

关键词：

subdivision; fairing; interpolatory; natural boundary point; surface modeling;

D O I：

10.1016/j.cam.2003.08.064

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A 4-point interpolatory subdivision scheme with a tension parameter is analyzed, and the local property of 4-point interpolatory subdivision scheme and a kind of G(1)-continuity sufficient condition between surfaces as well as between curves are discussed. An efficient method of generating natural boundary points of 4-point interpolatory curve is presented, as well as a surface modeling method with the entire fairing property by combining energy optimization with subdivision scheme. The method has been applied in modeling 3D virtual garment surface. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：189 / 197

页数：9