Parametrization of $ε$-rational curves: error analysis
Year: 2010
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Rueda, Sonia L., Sendra, Juana
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4394640555