dc.contributor.author | Pérez Díaz, Sonia | |
dc.contributor.author | Sendra Pons, Juan Rafael | |
dc.contributor.author | Villarino Cabellos, Carlos | |
dc.date.accessioned | 2021-10-08T15:03:35Z | |
dc.date.available | 2021-10-08T15:03:35Z | |
dc.date.issued | 2007 | |
dc.identifier.bibliographicCitation | Pérez Díaz, S., Sendra, J.R. & Villarino, C. 2007, “Finite piecewise polynomial parametrization of plane rational algebraic curves”, Applicable Algebra in Engineering, Communication and Computing, vol. 18, pp. 91-105. | |
dc.identifier.issn | 0938-1279 | |
dc.identifier.uri | http://hdl.handle.net/10017/49598 | |
dc.description.abstract | We present an algorithm with the following characteristics: given a real non-polynomial rational parametrization P(t) of a plane curve and a tolerance ϵ>0 , R is decomposed as union of finitely many intervals, and for each interval I of the partition, with the exception of some isolating intervals, the algorithm generates a polynomial parametrization PI(t) . Moreover, as an option, one may also input a natural number N and then the algorithm returns polynomial parametrizations with degrees smaller or equal to N. In addition, we present an error analysis where we prove that the curve piece CI={P(t)|t∈I} is in the offset region of C∗I={PI(t)|t∈I} at distance at most 2–√ϵ , and conversely. | en |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es_ES |
dc.description.sponsorship | Comunidad de Madrid | es_ES |
dc.description.sponsorship | Universidad de Alcalá | es_ES |
dc.format.mimetype | application/pdf | en |
dc.language.iso | eng | en |
dc.publisher | Springer | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) | * |
dc.rights | © 2006 Springer-Verlag | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Piecewise polynomial parametrization | en |
dc.subject | Rational algebraic curves | en |
dc.subject | Error analysis | en |
dc.title | Finite piecewise polynomial parametrization of plane algebraic 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 | 2021-10-08T15:02:30Z | |
dc.relation.publisherversion | https://doi.org/10.1007/s00200-006-0029-2 | |
dc.type.version | info:eu-repo/semantics/acceptedVersion | en |
dc.identifier.doi | 10.1007/s00200-006-0029-2 | |
dc.relation.projectID | info:eu-repo/grantAgreement/MEC//MTM2005-08690-C02-01/ES/Algoritmos y aplicaciones en geometría algebraica | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/UAH//CAM-UAH2005%2F053/ES/CURVAS Y SUPERFICIES: COMPUTACIÓN HIBRIDA Y APLICACIONES | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |
dc.identifier.uxxi | AR/0000011813 | |
dc.identifier.publicationtitle | Applicable Algebra in Engineering, Communications and Computing | |
dc.identifier.publicationvolume | 18 | |
dc.identifier.publicationlastpage | 105 | |
dc.identifier.publicationfirstpage | 91 | |