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An evolution-based approach for approximate parameterization of implicitly defined curves by polynomial parametric spline curves

Abstract: We propose a novel approach for the approximate parameterization of an implicitly defined curve in the plane by polynomial parametric spline curves. The method generates the parameterization of the curve (which may consist of several open and closed branches) without using any a priori information about its topology. If needed the topology of the approximate parameterization can be certified against the initial curve in a simple way.

 Authorship: Yang H., Jüttler B., Gonzalez-Vega L.,

 Fuente: Mathematics in Computer Science, 2010, 4(4), 463

 Publisher: Birkhauser Verlag Basel

 Publication date: 01/12/2010

 No. of pages: 17

 Publication type: Article

 DOI: 10.1007/s11786-011-0070-9

 ISSN: 1661-8270,1661-8289

 Spanish project: MTM2008-04699-C03-03

 European project: info:eu-repo/grantAgreement/EC/FP7/214584/EU/ShApe, Geometry and Algebra/SAGA/

 Publication Url: https://doi.org/10.1007/s11786-011-0070-9

Authorship

YANG, HUAIPING

JÜTTLER, BERT