Differential geometry of intersection curves in R4 of three implicit surfaces

被引：26
作者：
Alessio, Osmar [1 ]
机构：
[1] UNESP, Dept Math, Ilha Solteira, SP, Brazil
来源：
COMPUTER AIDED GEOMETRIC DESIGN | 2009年 / 26卷 / 04期
关键词：
Implicit-implicit-implicit intersection; Surface-surface-surface intersection; Transversal intersection; Geometric properties; Implicit curves;
D O I：
10.1016/j.cagd.2008.12.001
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
We present algorithms for computing the differential geometry properties of intersection Curves of three implicit surfaces in R(4), using the implicit function theorem and generalizing the method of X. Ye and T. Maekawa for 4-dimension. We derive t, n, b(1), b(2) vectors and curvatures (k(1), k(2), k(3)) for transversal intersections of the intersection problem. (C) 2008 Elsevier B.V. All rights reserved.
引用
收藏
页码：455 / 471
页数：17
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