Detecting Symmetries of Rational Plane Curves
Identificadores
Enlace permanente (URI): http://hdl.handle.net/10017/20452DOI: 10.1016/j.cagd.2014.02.004
ISSN: 0167-8396
Editor
Elsevier
Fecha de publicación
2013Patrocinadores
Ministerio de Ciencia e Innovación
Cita bibliográfica
Computer Aided Geometric Design, 2014, v. 31, n. 3-4, pp. 199-209.
Palabras clave
Rational planar curve
Rational space curve
Symmetry
Central symmetry
Mirror symmetry
Rotation symmetry
Symmetry center
Symmetry axis
Involution
Proyectos
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.cagd.2014.02.004Derechos
© Elsevier, 2014
Derechos de acceso
info:eu-repo/semantics/openAccess
Resumen
Given a rational algebraic curve defined by means of a rational parametrization, we address here the problem of deterministically detecting whether the curve exhibits some kind of symmetry (central, mirror, rotation), and of computing the elements of the symmetry in the affirmative case. We provide effective methods for solving these questions without any conversion to implicit form. The underlying idea is the existing relationship between two proper parametrizations of a same curve, which in turn leads to algorithms where only univariate polynomials are involved. These methods have been implemented and tested in the computer algebra system Maple 15; evidence of their applicability, as well as a detailed theoretical analysis, is given.
Ficheros en el ítem
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Rational Symmetries_UAH.pdf | 369.9Kb |
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Ficheros | Tamaño | Formato |
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Rational Symmetries_UAH.pdf | 369.9Kb |
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Colecciones
- MATEMATIC - Artículos [172]
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