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Asymptotic behavior of an implicit algebraic plane curve

dc.contributor.authorBlasco Lorenzo, Ángel 
dc.contributor.authorPérez Díaz, Sonia 
dc.date.accessioned2021-10-07T15:02:00Z
dc.date.available2021-10-07T15:02:00Z
dc.date.issued2014-10
dc.identifier.bibliographicCitationBlasco, A. & Pérez Díaz, S. 2014, “Asymptotic behavior of an implicit algebraic plane curve”, Computer Aided Geometric Design, vol. 31, no. 7-8, pp. 345-357.
dc.identifier.issn0167-8396
dc.identifier.urihttp://hdl.handle.net/10017/49577
dc.description.abstractIn this paper, we introduce the notion of infinity branches as well as approaching curves. We present some properties which allow us to obtain an algorithm that compares the behavior of two implicitly defined algebraic plane curves at the infinity. As an important result, we prove that if two plane algebraic curves have the same asymptotic behavior, the Hausdorff distance between them is finite.en
dc.format.mimetypeapplication/pdfen
dc.language.isoengen
dc.publisherElsevier
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)*
dc.rights© 2014 Elsevier
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectImplicit algebraic plane curveen
dc.subjectInfinity branchesen
dc.subjectConvergent branchesen
dc.subjectAsymptotic behavioren
dc.subjectApproaching curvesen
dc.titleAsymptotic behavior of an implicit algebraic plane curveen
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.updated2021-10-07T15:01:33Z
dc.relation.publisherversionhttps://doi.org/10.1016/j.cagd.2014.04.002
dc.type.versioninfo:eu-repo/semantics/acceptedVersionen
dc.identifier.doi10.1016/j.cagd.2014.04.002
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen
dc.identifier.uxxiAR/0000019402
dc.identifier.publicationtitleComputer Aided Geometric Design
dc.identifier.publicationvolume31
dc.identifier.publicationlastpage357
dc.identifier.publicationissue7-8
dc.identifier.publicationfirstpage345


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