Asymptotic behavior of an implicit algebraic plane curve
Identificadores
Enlace permanente (URI): http://hdl.handle.net/10017/49577DOI: 10.1016/j.cagd.2014.04.002
ISSN: 0167-8396
Editor
Elsevier
Fecha de publicación
2014-10Cita bibliográfica
Blasco, A. & Pérez Díaz, S. 2014, “Asymptotic behavior of an implicit algebraic plane curve”, Computer Aided Geometric Design, vol. 31, no. 7-8, pp. 345-357.
Palabras clave
Implicit algebraic plane curve
Infinity branches
Convergent branches
Asymptotic behavior
Approaching curves
Tipo de documento
info:eu-repo/semantics/article
Versión
info:eu-repo/semantics/acceptedVersion
Versión del editor
https://doi.org/10.1016/j.cagd.2014.04.002Derechos
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
© 2014 Elsevier
Derechos de acceso
info:eu-repo/semantics/openAccess
Resumen
In this paper, we introduce the notion of infinity branches as well as approaching curves. We present some properties which allow us to obtain an algorithm that compares the behavior of two implicitly defined algebraic plane curves at the infinity. As an important result, we prove that if two plane algebraic curves have the same asymptotic behavior, the Hausdorff distance between them is finite.
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Colecciones
- MATEMATIC - Artículos [172]