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Proper Reparametrization Of Rational Ruled Surface

机译:有理直纹曲面的正确重新参数化

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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.
机译:在本文中,我们为有理直纹曲面提供了一种合适的重新参数化算法。也就是说,对于不规则的有理曲面的合理参数化,我们为同一曲面构造了适当的有理参数化。该算法包括三个步骤。我们首先重新参数化由不适当的支持导致的不合理的理性参数化。然后,将不适当的有理参数化转换为适合其中一个参数的新参数。最后,将问题简化为平面有理代数曲线的适当重新参数化。

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