ε-有理曲线的参数化:扩展抽象

Symbolic-Numeric Computation Pub Date : 2009-08-03 DOI:10.1145/1577190.1577221

S. Pérez-Díaz, J. Sendra, Sonia L. Rueda, J. Sendra

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摘要

本文讨论了隐式给出的摄动有理仿射平面曲线的近似参数化问题。我们介绍了我们最近的一些结果(参见[3]，[4]，[5]，[6])，并描述了我们在这方面正在进行的研究。更准确地说，我们将重点放在[6]中的近似参数化算法上，并通过实证分析表明，该算法在实践中的输入和输出曲线非常接近。

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Parametrization of ε-rational curves: extended abstract

In this talk we deal with the problem of parametrizing approximately a perturbed rational affine plane curve implicitly given. We present some of our recent results (see [3], [4], [5], [6]) and we describe our on going research in this context. More precisely, we focus on our approximate parametrization algorithm in [6], and we present an empirical analysis that shows that the input and output curves of the algorithm are close in practice.

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Symbolic-Numeric Computation

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