Determining the asymptotic family of an implicit curve

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.

Detalles Bibliográficos
Autores: Campo Montalvo, Elena|||0000-0003-1799-7313, Fernández De Sevilla Vellón, María De Los Ángeles|||0000-0002-0630-1141, Magdalena Benedicto, Rafael, Pérez Díaz, Sonia|||0000-0002-0174-5325
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universidad de Alcalá (UAH)
Repositorio:e_Buah Biblioteca Digital Universidad de Alcalá
Idioma:inglés
OAI Identifier:oai:ebuah.uah.es:10017/55145
Acceso en línea:http://hdl.handle.net/10017/55145
https://dx.doi.org/10.1016/j.cagd.2022.102146
Access Level:acceso abierto
Palabra clave:Implicit algebraic plane curve
Parametric plane curve
Infinity branches
Asymptotes
Perfect curves
Approaching curves
Matemáticas
Mathematics
Descripción
Sumario: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.