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Missing sets in rational parametrizations of surfaces of revolution

dc.contributor.authorSendra Pons, Juan Rafael 
dc.contributor.authorSevilla, David
dc.contributor.authorVillarino Cabellos, Carlos 
dc.date.accessioned2019-10-23T15:10:44Z
dc.date.available2019-10-23T15:10:44Z
dc.date.issued2015-04-01
dc.identifier.urihttp://hdl.handle.net/10017/39746
dc.description.abstractParametric representations do not cover, in general, the whole geometric object that they parametrize.This can be a problem in practical applications. In this paper we analyze the question for surfaces of revolution generated by real rational profile curves, and we describe a simple small superset of the real zone of the surface not covered by the parametrization. This superset consists, in the worst case, of the union of a circle and the mirror curve of the profile curve.en
dc.description.sponsorshipMinisterio de Ciencia e Innovaciónes_ES
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherElsevier
dc.rights© 2015 Elsevier Ltd. All rights reserved.es_ES
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectRevolution surfaceen
dc.subjectRational parametrizationen
dc.subjectCritical seten
dc.subjectCovering parametrizationen
dc.subjectReal algebraic surfaceen
dc.subjectGeometric computationen
dc.titleMissing sets in rational parametrizations of surfaces of revolutionen
dc.typeinfo:eu-repo/semantics/articleen
dc.subject.ecienciaCienciaes_ES
dc.subject.ecienciaMatemáticases_ES
dc.subject.ecienciaScienceen
dc.subject.ecienciaMathematicsen
dc.contributor.affiliationUniversidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticases_ES
dc.relation.publisherversionhttp://dx.doi.org/10.1016/j.cad.2015.04.006es_ES
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen
dc.relation.projectIDinfo:eu-repo/grantAgreement/MICINN//MTM2011-25816-C02-01/ES/ALGORITMOS Y APLICACIONES EN GEOMETRIA DE CURVAS Y SUPERFICIES/en
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen


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© 2015 Elsevier Ltd. All rights reserved.
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