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arXiv · 1004.2148

Parametrization of $ε$-rational curves: error analysis

Sonia L. Rueda·Juana Sendra
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Abstract

In [Computer Aided Geometric Design 27 (2010), 212-231] the authors present an algorithm to parametrize approximately $ε$-rational curves, and they show in 2 examples that the Hausdorff distance, w.r.t. to the Euclidean distance, between the input and output curves is small. In this paper, we analyze this distance for a whole family of curves randomly generated and we automatize the strategy used in [Computer Aided Geometric Design 27 (2010), 212-231]. We find a reasonable upper bound of the Hausdorff distance between each input and output curve of the family.

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Sonia L. Rueda, Juana Sendra. 2010-04-13. Parametrization of $ε$-rational curves: error analysis. https://arxiv.org/abs/1004.2148

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