Determining the asymptotic family of an implicit curve

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Authors
Campo Montalvo, ElenaUniversity of Alcalá Author; Fernández De Sevilla Vellón, María De Los ÁngelesUniversity of Alcalá Author; Magdalena Benedicto, Rafael; Pérez Díaz, SoniaUniversity of Alcalá Author
Identifiers
Permanent link (URI): http://hdl.handle.net/10017/55145
DOI: 10.1016/j.cagd.2022.102146
ISSN: 0167-8396
Publisher
Elsevier
Date
2022-10-01
Academic Departments
Universidad de Alcalá. Departamento de Automática
Universidad de Alcalá. Departamento de Ciencias de la Computación
Universidad de Alcalá. Departamento de Física y Matemáticas
Teaching unit
Unidad Docente Matemáticas
Funders
Agencia Estatal de Investigación
Bibliographic citation
Campo Montalvo, E., Fernández de Sevilla, M., Magdaleno Benedicto, R. & Pérez Díaz, S. 2022, "Determining the asymptotic family of an implicit curve", Computer Aided Geometric Design, vol. 98, art. no. 102146.
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 2017-2020/PID2020-113192GB-I00/ES/VISUALIZACION MATEMATICA: FUNDAMENTOS, ALGORITMOS Y APLICACIONES/
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica, Técnica y de Innovación 2021-2023/PID2021-127946OB-100
Document type
info:eu-repo/semantics/article
Version
info:eu-repo/semantics/publishedVersion
Publisher's version
https://doi.org/10.1016/j.cagd.2022.102146
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
Access rights
info:eu-repo/semantics/openAccess
Abstract
In this paper we deal with the following problem: given an algebraic plane curve C, implicitly defined, we determine its “asymptotic family”, that is, the set of algebraic curves that have the same asymptotic behavior as C.

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