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dc.contributor.authorAlcázar Arribas, Juan Gerardo 
dc.contributor.authorPérez Díaz, Sonia 
dc.date.accessioned2021-10-06T12:56:48Z
dc.date.issued2020-11-09
dc.identifier.bibliographicCitationAlcázar, 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.
dc.identifier.issn0196-8858
dc.identifier.urihttp://hdl.handle.net/10017/49550
dc.description.abstractA 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.en
dc.description.sponsorshipAgencia Estatal de Investigaciónes_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© 2020 Elsevier
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectHighest order formen
dc.subjectSurface implicitizationen
dc.subjectRational surfaceen
dc.titleComputing the form of highest degree of the implicit equation of a rational surfaceen
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.updated2021-10-06T12:55:48Z
dc.relation.publisherversionhttps://doi.org/10.1016/j.aam.2020.102128
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen
dc.identifier.doi10.1016/j.aam.2020.102128
dc.relation.projectIDinfo: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/es_ES
dc.date.embargoEndDate2022-11-09
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.identifier.uxxiAR/0000035443
dc.identifier.publicationtitleAdvances in Applied Mathematics
dc.identifier.publicationvolume123


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