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dc.contributor.authorPérez Díaz, Sonia 
dc.contributor.authorSendra Pons, Juan Rafael 
dc.date.accessioned2021-10-08T14:21:31Z
dc.date.available2021-10-08T14:21:31Z
dc.date.issued2008-02
dc.identifier.bibliographicCitationPérez Díaz, S. & Sendra, J.R. 2008, “A univariate resultant-based implicitization algorithm for surfaces”, Journal of Symbolic Computation, vol. 43, no. 2, pp. 118-139.
dc.identifier.issn0747-7171
dc.identifier.urihttp://hdl.handle.net/10017/49595
dc.description.abstractIn this paper, we present a new algorithm for computing the implicit equation of a rational surface V from a rational parametrization P(t). The algorithm is valid independent of the existence of base points, and is based on the computation of polynomial gcds and univariate resultants. Moreover, we prove that the resultant-based formula provides a power of the implicit equation. In addition, performing a suitable linear change of parameters, we prove that this power is indeed the degree of the rational map induced by the parametrization. We also present formulas for computing the partial degrees of the implicit equation.en
dc.description.sponsorshipMinisterio de Educación y Cienciaes_ES
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherElsevier
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)*
dc.rights© 2007 Elsevier
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectImplicitizationen
dc.subjectRational surface parametrizationen
dc.subjectPartial degreesen
dc.subjectPropernessen
dc.titleA univariate resultant based implicitation algorithm for surfacesen
dc.typeinfo:eu-repo/semantics/articleen
dc.subject.ecienciaMatemáticases_ES
dc.subject.ecienciaMathematicsen
dc.contributor.affiliationUniversidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticases_ES
dc.date.updated2021-10-08T14:21:02Z
dc.relation.publisherversionhttps://doi.org/10.1016/j.jsc.2007.10.001
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen
dc.identifier.doi10.1016/j.jsc.2007.10.001
dc.relation.projectIDinfo:eu-repo/grantAgreement/MEC//MTM2005-08690-C02-01/ES/Algoritmos y aplicaciones en geometría algebraicaES_es
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.identifier.uxxiAR/0000011808
dc.identifier.publicationtitleJournal of Symbolic Computation
dc.identifier.publicationvolume43
dc.identifier.publicationlastpage139
dc.identifier.publicationissue2
dc.identifier.publicationfirstpage118


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