First steps towards radical parametrization of algebraic surfaces

Autores
Sendra Pons, Juan RafaelAutor Universidad de Alcalá; Sevilla, David
Identificadores
Enlace permanente (URI): http://hdl.handle.net/10017/20447
DOI: 10.1016/j.cagd.2012.12.004
ISSN: 0167-8396
Editor
Elsevier
Fecha de publicación
2013
Filiación
Universidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticas
Patrocinadores
Ministerio de Ciencia e Innovación
The Austrian Science Fund (FWF)
Cita bibliográfica
Computer Aided Geometric Design, 2013, v. 30, n. 4, p. 374-388
Palabras clave
Algebraic surface
Radical parametrization
Descripción
This is the author’s version of a work that was accepted for publication in Computer Aided Geometric Design. 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 Computer Aided Geometric Design Volume 30, Issue 4, pp. 374-388 (2013) . DOI: 10.1016/j.cagd.2012.12.004
The first author is a member of the of the Research Group ASYNACS (Ref. CCEE2011/R34)
Proyectos
info:eu-repo/grantAgreement/MICINN//MTM2011-25816-C02-01/ES/ALGORITMOS Y APLICACIONES EN GEOMETRIA DE CURVAS Y SUPERFICIES/
info:eu-repo/grantAgreement/MICINN//MTM2008-04699-C03-01/ES/VARIEDADES PARAMETRICAS: ALGORITMOS Y APLICACIONES/
P22766-N18
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.2012.12.004
Derechos
© Elsevier B.V., 2013
Derechos de acceso
info:eu-repo/semantics/openAccess
Compartir
 
Resumen
We introduce the notion of radical parametrization of a surface, and we provide algorithms to compute such type of parametrizations for families of surfaces, like: Fermat surfaces, surfaces with a high multiplicity (at least the degree minus 4) singularity, all irreducible surfaces of degree at most 5, all irreducible singular surfaces of degree 6, and surfaces containing a pencil of low-genus curves. In addition, we prove that radical parametrizations are preserved under certain type of geometric constructions that include offset and conchoids.
Ficheros en el ítem
Colecciones