A partial solution to the problem of proper reparametrization for rational surfaces
Autores
Pérez Díaz, SoniaIdentificadores
Enlace permanente (URI): http://hdl.handle.net/10017/49562DOI: 10.1016/j.cagd.2013.06.003
ISSN: 0167-8396
Editor
Elsevier
Fecha de publicación
2013-11-01Cita bibliográfica
Pérez Díaz, S. 2013, “A partial solution to the problem of proper reparametrization for rational surfaces”, Computer Aided Geometric Design, vol. 30, no. 8, pp. 743-759.
Palabras clave
Proper reparametrization
Rational surface
Degree of a rational map
Tipo de documento
info:eu-repo/semantics/article
Versión
info:eu-repo/semantics/acceptedVersion
Versión del editor
https://doi.org/10.1016/j.cagd.2013.06.003Derechos
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
© 2013 Elsevier
Derechos de acceso
info:eu-repo/semantics/openAccess
Resumen
Given an algebraically closed field K, and a rational parametrization P of an algebraic surface V ⊂ K3 , we consider the problem of computing a proper rational parametrization Q from P (reparametrization problem). More precisely, we present an algorithm that computes a rational parametrization Q of V such that the degree of the rational map induced by Q is less than the degree induced by P. The properness of the output parametrization Q is analyzed. In particular, if the degree of the map induced by Q is one, then Q is proper and the reparametrization problem is solved. The algorithm works if at least one of two auxiliary parametrizations defined from P is not proper.
Ficheros en el ítem
Ficheros | Tamaño | Formato |
|
---|---|---|---|
A_partial_Perez_Comput_Aided_G ... | 432.4Kb |
|
Ficheros | Tamaño | Formato |
|
---|---|---|---|
A_partial_Perez_Comput_Aided_G ... | 432.4Kb |
|
Colecciones
- MATEMATIC - Artículos [173]