Parametrization of $\epsilon$-rational curves: error analysis
Algebraic Geometry
2010-04-14 v1
Abstract
In [Computer Aided Geometric Design 27 (2010), 212-231] the authors present an algorithm to parametrize approximately -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.
Cite
@article{arxiv.1004.2148,
title = {Parametrization of $\epsilon$-rational curves: error analysis},
author = {Sonia L. Rueda and Juana Sendra},
journal= {arXiv preprint arXiv:1004.2148},
year = {2010}
}
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