Proper Reparametrization of Rational Ruled Surface 被引量：2

Proper Reparametrization of Rational Ruled Surface

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摘要 In this paper, we present a proper reparametrization algorithm for rational ruled surfaces. That is, for an improper rational parametrization of a ruled surface, we construct a proper rational parametrization for the same surface. The algorithm consists of three steps. We first reparametrize the improper rational parametrization caused by improper supports. Then the improper rational parametrization is transformed to a new one which is proper in one of the parameters. Finally, the problem is reduced to the proper reparametrization of planar rational algebraic curves. In this paper, we present a proper reparametrization algorithm for rational ruled surfaces. That is, for an improper rational parametrization of a ruled surface, we construct a proper rational parametrization for the same surface. The algorithm consists of three steps. We first reparametrize the improper rational parametrization caused by improper supports. Then the improper rational parametrization is transformed to a new one which is proper in one of the parameters. Finally, the problem is reduced to the proper reparametrization of planar rational algebraic curves.

作者李家申立勇高小山

机构地区 Key Laboratory of Mathematics Mechanization

出处《Journal of Computer Science & Technology》 SCIE EI CSCD 2008年第2期290-297,共8页 计算机科学技术学报（英文版）

基金 This paper is partially supported by the National Fundamental Research 973 Program of China under Grant No.2004CB318000.

关键词 algebraic ruled surface algebraic curve proper reparametrization improper support algebraic ruled surface, algebraic curve, proper reparametrization, improper support

分类号 TP301.6 [自动化与计算机技术—计算机系统结构]

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同被引文献14

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2008年第2期

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