Reparametrization of a rational ruled surface using the μ-basis

被引：28
|
作者：
Chen, FL [1 ]
机构：
[1] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China
来源：
COMPUTER AIDED GEOMETRIC DESIGN | 2003年 / 20卷 / 01期
关键词：
ruled surface; reparametrization; implicitization; moving plane; mu-basis;
D O I：
10.1016/S0167-8396(02)00191-7
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
This paper discusses a direct application of the mu-basis in reparametrizing a rational ruled surface. Using the mu-basis, we construct a new ruled surface, which is a dual of the original surface. A reparametrization can then be obtained from the mu-basis of the dual ruled surface. The reparametrized surface does not contain any non-generic base point and has a pair of directrices with the lowest possible degree. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：11 / 17
页数：7
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