Analysis and applications of pipe surfaces

被引：73
作者：
Maekawa, T [1 ]
Patrikalakis, NM
Sakkalis, T
Yu, GX
机构：
[1] MIT, Dept Ocean Engn, Design Lab, Cambridge, MA 02139 USA
[2] Agr Univ Athens, Dept Math, Athens 11855, Greece
来源：
COMPUTER AIDED GEOMETRIC DESIGN | 1998年 / 15卷 / 05期
关键词：
pipe surface; local self-intersection; global self-intersection; rational parametrization;
D O I：
10.1016/S0167-8396(97)00042-3
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
A pipe (or tubular) surface is the envelope of a one-parameter family of spheres with constant radii r and centers C(t). In this paper we investigate necessary and sufficient conditions for the nonsingularity of pipe surfaces. In addition, when C(t) is a rational function, we develop an algorithmic method for the rational parametrization of such a surface. The latter is based on finding two rational functions alpha(t) and beta(t) such that /C'(t)/(2) = alpha(2)(t) + beta(2)(t) (Lu and Portmann, 1996). (C) 1998 Elsevier Science B.V.
引用
收藏
页码：437 / 458
页数：22
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