Self-intersection detection and elimination in freeform curves and surfaces

被引：29

作者：

Pekerman, Diana ^{[1
]}

Elber, Gershon ^{[2
]}

Kim, Myung-Soo ^{[3
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

[2] Technion Israel Inst Technol, Dept Comp Sci, IL-32000 Haifa, Israel

[3] Seoul Natl Univ, Sch Comp Sci & Eng, Seoul, South Korea

来源：

COMPUTER-AIDED DESIGN | 2008年 / 40卷 / 02期

基金：

以色列科学基金会;

关键词：

global/local self-intersection; surface binormal line; antipodal points; multivariate polynomial constraints; offset trimming; self-intersection-free metamorphosis;

D O I：

10.1016/j.cad.2007.10.004

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

We present several algorithms for self-intersection detection, and possible elimination, in freeform planar curves and surfaces. Both local and global self-intersections are eliminated using a binormal-line criterion and a simple direct algebraic elimination procedure that enables the direct solution of the algebraic (self-)intersection constraints. All algorithms have been fully implemented and tested. Examples are presented for applications in self-intersection detection, self-intersectionfree metamorphosis of curves, and proper trimming of self-intersections in offset curves. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：150 / 159

页数：10

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