dc.contributor.author | Pérez Díaz, Sonia | |
dc.contributor.author | Sendra Pons, Juan Rafael | |
dc.contributor.author | Rueda Pérez, Sonia Luisa | |
dc.contributor.author | Sendra Pons, Juana | |
dc.date.accessioned | 2021-10-07T16:10:03Z | |
dc.date.available | 2021-10-07T16:10:03Z | |
dc.date.issued | 2010-02 | |
dc.identifier.bibliographicCitation | Pérez Díaz, S., Sendra, J.R., Rueda, S.L. & Sendra, J. 2010, “Approximate parametrization of plane algebraic curves by linear systems of curves”, Computer Aided Geometric Design, vol. 27, no. 2, pp. 212-231. | |
dc.identifier.issn | 0167-8396 | |
dc.identifier.uri | http://hdl.handle.net/10017/49579 | |
dc.description.abstract | It is well known that an irreducible algebraic curve is rational (i.e. parametric) if and only if its genus is zero. In this paper, given a tolerance ² > 0 and an ²-irreducible algebraic affine plane curve C of proper degree d, we introduce the notion of ²-rationality, and we provide an algorithm to parametrize approximately affine ²-rational plane curves by means of linear systems of (d−2)-degree curves. The algorithm outputs a rational parametrization of a rational curve C of degree d which has the same points at infinity as C. Moreover, although we do not provide a theoretical analysis, our empirical analysis shows that C and C are close in practice. | en |
dc.description.sponsorship | Ministerio de Ciencia e Innovación | es_ES |
dc.format.mimetype | application/pdf | en |
dc.language.iso | eng | en |
dc.publisher | Elsevier | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) | * |
dc.rights | © 2009 Elsevier | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Approximate | en |
dc.subject | Parametrization | en |
dc.subject | Plane algebraic curves | en |
dc.subject | Linear systems of curves | en |
dc.title | Approximate parametrization of plane algebraic curves by linear systems of curves. | en |
dc.type | info:eu-repo/semantics/article | en |
dc.subject.eciencia | Matemáticas | es_ES |
dc.subject.eciencia | Mathematics | en |
dc.contributor.affiliation | Universidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticas | es_ES |
dc.date.updated | 2021-10-07T16:09:23Z | |
dc.relation.publisherversion | https://doi.org/10.1016/j.cagd.2009.12.002 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | en |
dc.identifier.doi | 10.1016/j.cagd.2009.12.002 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//MTM2008-04699-C03-01/ES/VARIEDADES PARAMETRICAS: ALGORITMOS Y APLICACIONES/ | en |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |
dc.identifier.uxxi | AR/0000011807 | |
dc.identifier.publicationtitle | Computer Aided Geometric Design | |
dc.identifier.publicationvolume | 27 | |
dc.identifier.publicationlastpage | 231 | |
dc.identifier.publicationissue | 2 | |
dc.identifier.publicationfirstpage | 212 | |