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arXiv · 1305.2461

Numerical Reparametrization of Rational Parametric Plane Curves

Sonia Perez-Diaz·Li-Yong Shen
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Abstract

In this paper, we present an algorithm for reparametrizing algebraic plane curves from a numerical point of view. That is, we deal with mathematical objects that are assumed to be given approximately. More precisely, given a tolerance $ε>0$ and a rational parametrization $\cal P$ with perturbed float coefficients of a plane curve $\cal C$, we present an algorithm that computes a parametrization $\cal Q$ of a new plane curve $\cal D$ such that ${\cal Q}$ is an {\it $ε$--proper reparametrization} of $\cal D$. In addition, the error bound is carefully discussed and we present a formula that measures the "closeness" between the input curve $\cal C$ and the output curve $\cal D$.

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BibTeXRIS

Sonia Perez-Diaz, Li-Yong Shen. 2013-08-15. Numerical Reparametrization of Rational Parametric Plane Curves. https://doi.org/10.1016/j.cam.2014.09.012

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