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• W1875802246 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 $epsilon>0$ 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 $epsilon$--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 $cal D$." @default.
• W1875802246 created "2016-06-24" @default.
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• W1875802246 date "2015-03-01" @default.
• W1875802246 modified "2023-10-17" @default.
• W1875802246 title "Numerical proper reparametrization of parametric plane curves" @default.
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• W1875802246 doi "https://doi.org/10.1016/j.cam.2014.09.012" @default.
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