An algorithm to parametrize approximately space curves
Identificadores
Enlace permanente (URI): http://hdl.handle.net/10017/20451DOI: 10.1016/j.jsc.2013.04.002
ISSN: 0747-7171
Editor
Elsevier B.V.
Fecha de publicación
2013Patrocinadores
Ministerio de Ciencia e Innovación
Cita bibliográfica
Journal of Symbolic Computation, 2013, v. 56 p. 80-106
Palabras clave
Space curve
Rational parametrization
Hausdorff distance
Descripción
This is the author’s
version of a work that was accepted for publication in
Journal of Symbolic Computation. Changes resulting from the publishing
process, such as peer review, editing, corrections,
structural formatting, and other quality control mechanisms may not be
reflected in this document.
Changes may have been made to this work since it was submitted for
publication.
A definitive version was subsequently published in Journal of Symbolic
Computation vol. 56 pp. 80-106 (2013).
DOI: 10.1016/j.jsc.2013.04.002
All authors belong to the Research Group ASYNACS (Ref. CCEE2011/R34).
Proyectos
info:eu-repo/grantAgreement/MICINN//MTM2008-04699-C03-01/ES/VARIEDADES PARAMETRICAS: ALGORITMOS Y APLICACIONES/
info:eu-repo/grantAgreement/MICINN//MTM2011-25816-C02-01/ES/ALGORITMOS Y APLICACIONES EN GEOMETRIA DE CURVAS Y SUPERFICIES/
Tipo de documento
info:eu-repo/semantics/article
Versión
info:eu-repo/semantics/submittedVersion
Versión del editor
http://dx.doi.org/10.1016/j.jsc.2013.04.002Derechos
© Elsevier B.V., 2013
Derechos de acceso
info:eu-repo/semantics/openAccess
Resumen
We present an algorithm that, given a non-rational irreducible
real space curve, satisfying certain conditions, computes a rational
parametrization of a space curve near the input one. For a given
tolerance \epsilon > 0, the algorithm checks whether a planar projection
of the given space curve is \epsilon -rational and, in the affirmative
case, generates a planar parametrization that is lifted to a space
parametrization. This output rational space curve is of the same
degree as the input curve, both have the same structure at infinity,
and the Hausdorff distance between their real parts is finite.
Moreover, in the examples we check that the distance is small.
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- MATEMATIC - Artículos [172]