Asymptotes and perfect curves
Identificadores
Enlace permanente (URI): http://hdl.handle.net/10017/49575DOI: 10.1016/j.cagd.2013.12.004
ISSN: 0167-8396
Editor
Elsevier
Fecha de publicación
2014-02Cita bibliográfica
Blasco, A. & Pérez Díaz, S. 2014, “Asymptotes and perfect curves”, Computer Aided Geometric Design, vol. 31, no. 2, pp. 81-96.
Palabras clave
Implicit algebraic plane curve
Infinity branches
Asymptotes
Perfect 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.2013.12.004Derechos
Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
© 2014 Elsevier
Derechos de acceso
info:eu-repo/semantics/openAccess
Resumen
We develop a method for computing all the generalized asymptotes of a real plane algebraic curve C implicitly defined by an irreducible polynomial f(x, y) ∈ R[x, y]. The approach is based on the notion of perfect curve introduced from the concepts and results presented in Blasco and P´erez-D´ıaz (2013). In addition, we study some properties concerning perfect curves and in particular, we provide a necessary and sufficient condition for a plane curve to be perfect. Finally, we show that the equivalent class of generalized asymptotes for a branch of a plane curve can be described as an affine space R m for a certain m.
Ficheros en el ítem
Ficheros | Tamaño | Formato |
|
---|---|---|---|
Asymptotes_Blasco_Comput_Aided ... | 545.2Kb |
|
Ficheros | Tamaño | Formato |
|
---|---|---|---|
Asymptotes_Blasco_Comput_Aided ... | 545.2Kb |
|
Colecciones
- MATEMATIC - Artículos [172]