A new approach for computing the asymptotes of a parametric curve
Identifiers
Permanent link (URI): http://hdl.handle.net/10017/41548DOI: 10.1016/j.cam.2019.112350
ISSN: 0377-0427
Publisher
Elsevier
Date
2020-01-15Embargo end date
2021-07-15Funders
Agencia Estatal de Investigación
Bibliographic citation
Blasco, A. & Pérez-Díaz, S. 2020, “A new approach for computing the asymptotes of a parametric curve”, Journal of Computational and Applied Mathematics, vol. 364 (Enero 2020), article 112350.
Keywords
Implicit algebraic plane curve
Parametric plane curve
Infinity branches
Asymptotes
Perfect curves
Approaching curves
Project
info: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/
Document type
info:eu-repo/semantics/article
Version
info:eu-repo/semantics/acceptedVersion
Publisher's version
https://doi.org/10.1016/j.cam.2019.112350Rights
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
© 2020 Elsevier
Access rights
info:eu-repo/semantics/openAccess
Abstract
In this paper, we summarize two algorithms for computing all the generalized asymptotes of a plane algebraic curve implicitly or parametrically defined. The approach is based on the notion of perfect curves introduced from the concepts and results presented in previous papers of the same authors. From these results, we derive a new and efficient method that allows to easily compute all the generalized asymptotes of an algebraic curve parametrically defined in n-dimensional space.
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