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Proper Reparametrization of Rational Ruled Surface

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3 Author(s)
Jia Li ; Key Laboratory of Mathematics Mechanization, Institute of Systems Science, AMSS, Academia Sinica, Beijing, China. ; Liyong Shen ; Xiaoshan Gao

Summary form only given. 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.

Published in:

Computer-Aided Design and Computer Graphics, 2007 10th IEEE International Conference on

Date of Conference:

15-18 Oct. 2007