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

页码：11 / 17

页数：7

共 6 条

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