Computing the form of highest degree of the implicit equation of a rational surface
Identificadores
Enlace permanente (URI): http://hdl.handle.net/10017/49550DOI: 10.1016/j.aam.2020.102128
ISSN: 0196-8858
Editor
Elsevier
Fecha de publicación
2020-11-09Fecha fin de embargo
2022-11-09Patrocinadores
Agencia Estatal de Investigación
Cita bibliográfica
Alcázar, J.G. & Pérez Díaz, S. 2021, “Computing the form of highest degree of the implicit equation of a rational surface”, Advances in Applied Mathematics, vol. 123, art. no. 102128.
Palabras clave
Highest order form
Surface implicitization
Rational surface
Proyectos
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2017-88796-P/ES/COMPUTACION SIMBOLICA: NUEVOS RETOS EN ALGEBRA Y GEOMETRIA Y SUS APLICACIONES/
Tipo de documento
info:eu-repo/semantics/article
Versión
info:eu-repo/semantics/acceptedVersion
Versión del editor
https://doi.org/10.1016/j.aam.2020.102128Derechos
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
© 2020 Elsevier
Derechos de acceso
info:eu-repo/semantics/openAccess
Resumen
A method is presented for computing the form of highest degree of the implicit equation of a rational surface, defined by means of a rational parametrization. Determining the form of highest degree is useful to study the asymptotic behavior of the surface, to perform surface recognition, or to study symmetries of surfaces, among other applications. The method is efficient, and works generally better than known algorithms for implicitizing the whole surface, in the absence of base points blowing up to a curve at infinity. Possibilities to compute the form of highest degree of the implicit equation under the presence of such base points are also discussed. We provide timings to compare our method with known methods for computing the whole implicit equation of the surface, both in absence and in presence of base points blowing up to a curve at infinity.
Ficheros en el ítem
Ficheros | Tamaño | Formato |
|
---|---|---|---|
Computing_Alcalzar_Adv_Appl_Ma ... | 560.0Kb |
|
Ficheros | Tamaño | Formato |
|
---|---|---|---|
Computing_Alcalzar_Adv_Appl_Ma ... | 560.0Kb |
|
Colecciones
- MATEMATIC - Artículos [172]