Numerical proper reparametrization of parametric plane curves
Identificadores
Enlace permanente (URI): http://hdl.handle.net/10017/49553DOI: 10.1016/j.cam.2014.09.012
ISSN: 0377-0427
Editor
Elsevier
Fecha de publicación
2015-03-15Cita bibliográfica
Shen, Li-Yong & Pérez Díaz, S. 2015, “Numerical proper reparametrization of parametric plane curves”, Journal of Computational and Applied Mathematics, vol. 277, pp. 138-161.
Palabras clave
Rational curve
Approximately improper
Proper reparametrization
Tipo de documento
info:eu-repo/semantics/article
Versión
info:eu-repo/semantics/acceptedVersion
Versión del editor
https://doi.org/10.1016/j.cam.2014.09.012Derechos
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
© 2014 Elsevier
Derechos de acceso
info:eu-repo/semantics/openAccess
Resumen
We present an algorithm for reparametrizing algebraic plane curves from a numerical point of view. More precisely, given a tolerance ϵ>0 and a rational parametrization P of a plane curve C with perturbed float coefficients, we present an algorithm that computes a parametrization Q of a new plane curve D such that Q is an ϵ –proper reparametrization of D. In addition, the error bound is carefully discussed and we present a formula that measures the “closeness” between the input curve C and the output curve D.
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- MATEMATIC - Artículos [172]