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dc.contributor.authorRueda Pérez, Sonia Luisa
dc.contributor.authorSendra Pons, Juana 
dc.contributor.authorSendra Pons, Juan Rafael
dc.identifier.bibliographicCitationJournal of Computational and Applied Mathematics, 2014, v. 263, pp. 445-465.
dc.descriptionThis is the author’s version of a work that was accepted for publication in Computational and Applied Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computational and Applied Mathematics 263 (2014), pp. 445-465. DOI: 10.1016/
dc.description.abstractIn this paper we introduce the notion of rational Hausdor divisor, we analyze the dimension and irreducibility of its associated linear system of curves, and we prove that all irreducible real curves belonging to the linear system are rational and are at nite Hausdor distance among them. As a consequence, we provide a projective linear subspace where all (irreducible) elements are solutions to the approximate parametrization problem for a given algebraic plane curve. Further- more, we identify the linear system with a plane curve that is shown to be rational and we develop algorithms to parametrize it analyzing its elds of parametriza- tion. Therefore, we present a generic answer to the approximate parametrization problem. In addition, we introduce the notion of Hausdor curve, and we prove that every irreducible Hausdor curve can always be parametrized with a generic rational parametrization having coe cients depending on as many parameters as the degree of the input curve.en
dc.description.sponsorshipMinisterio de Ciencia e Innovaciónes_ES
dc.publisherElsevier B.V.
dc.rights© Elsevier B.V., 2014
dc.subjectHausdorff distanceen
dc.subjectRational Hausdorffen
dc.subjectHausdorff curveen
dc.subjectApproximate parametrization problemen
dc.subjectRational curveen
dc.titleRational Hausdorff Divisors: a New approach to the Approximate Parametrization of Curvesen
dc.contributor.affiliationUniversidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticases_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/MICINN//MTM2011-25816-C02-01/ES/ALGORITMOS Y APLICACIONES EN GEOMETRIA DE CURVAS Y SUPERFICIES/en

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