On the problem of proper reparametrization for rational curves and surfaces
Autores
Pérez Díaz, SoniaIdentificadores
Enlace permanente (URI): http://hdl.handle.net/10017/49538DOI: 10.1016/j.cagd.2006.01.001
ISSN: 0167-8396
Editor
Elsevier
Fecha de publicación
2006-05Cita bibliográfica
Pérez Díaz, S. 2006, “On the problem of proper reparametrization for rational curves and surfaces”, Computer Aided Geometric Design, vol. 23, no. 4, pp. 307-323.
Palabras clave
Proper reparametrization
Rational curve
Rational surface
Proyectos
DGES PB98-0713-C02-01
DGES HU1999-0029
Tipo de documento
info:eu-repo/semantics/article
Versión
info:eu-repo/semantics/acceptedVersion
Versión del editor
https://doi.org/10.1016/j.cagd.2006.01.001Derechos
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
© 2006 Elsevier
Derechos de acceso
info:eu-repo/semantics/openAccess
Resumen
A rational parametrization of an algebraic curve (resp. surface) establishes a rational correspondence of this curve (resp. surface) with the affine or projective line (resp. affine or projective plane). This correspondence is a birational equivalence if the parametrization is proper. So, intuitively speaking, a rational proper parametrization trace the curve or surface once. We consider the problem of computing a proper rational parametrization from a given improper one. For the case of curves we generalize, improve and reinterpret some previous results. For surfaces, we solve the problem for some special surface's parametrizations.
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Colecciones
- MATEMATIC - Artículos [172]