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Inversion, degree, reparametrization and implicitization of rational planar curves using µ-basis

dc.contributor.authorPérez Díaz, Sonia 
dc.contributor.authorShen, Li-Yong
dc.date.accessioned2021-10-05T15:21:24Z
dc.date.available2021-10-05T15:21:24Z
dc.date.issued2021-02-11
dc.identifier.bibliographicCitationPérez Díaz, S. & Shen, L.Y. 2021, “Inversion, degree, reparametrization and implicitization of improperly parametrized planar curves using μ-basis”, Computer Aided Geometric Design, vol. 84, art. no. 101957.
dc.identifier.issn0167-8396
dc.identifier.urihttp://hdl.handle.net/10017/49535
dc.description.abstractThe µ-basis of a rational curve/surface is a new algebraic tool which plays an important role in connecting the rational parametric form and the implicit form of a rational curve/surface. However, most results for µ-bases are presented for proper rational parametrizations. In this paper we consider the µ-basis for an improper rational planar curve. Based on the known properties and new results, we design two new proper reparametrization algorithms using µ-basis. The inversion, degree of the induced rational map and implicitization formulas are also derived.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© 2021 Elsevier
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectµ-basisen
dc.subjectInversionen
dc.subjectRational parametrizationen
dc.subjectAlgebraic curvesen
dc.subjectProper reparametrizationen
dc.subjectImplicitizationen
dc.subjectFibreen
dc.titleInversion, degree, reparametrization and implicitization of rational planar curves using µ-basisen
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.updated2021-10-05T15:19:20Z
dc.relation.publisherversionhttps://doi.org/10.1016/j.cagd.2021.101957
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen
dc.identifier.doi10.1016/j.cagd.2021.101957
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.embargoEndDate2023-02-11
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.identifier.uxxiAR/0000036270
dc.identifier.publicationtitleComputer Aided Geometric Design
dc.identifier.publicationvolume84


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