Characterizing the finiteness of the Hausdorff distance between two algebraic curves
Identificadores
Enlace permanente (URI): http://hdl.handle.net/10017/49503DOI: 10.1016/j.cam.2014.12.005
ISSN: 0377-0427
Editor
Elsevier
Fecha de publicación
2015-05-15Cita bibliográfica
Blasco, A. & Pérez Díaz, S. 2015, "Characterizing the finiteness of the Hausdorff distance between two algebraic curves", Journal of Computational and Applied Mathematics, vol. 280, pp. 327-346.
Palabras clave
Hausdorff distance
Algebraic space curves
Implicit polynomial
Parametrization
Infinity branches
Asymptotic behavior
Tipo de documento
info:eu-repo/semantics/article
Versión
info:eu-repo/semantics/publishedVersion
Versión del editor
https://doi.org/10.1016/j.cam.2014.12.005Derechos
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 present a characterization for the Hausdorff distance between two given algebraic curves in the n-dimensional space (parametrically or implicitly defined) to be finite. The characterization is related with the asymptotic behavior of the two curves and it can be easily checked. More precisely, the Hausdorff distance between two curves C and C is finite if and only if for each infinity branch of C there exists an infinity branch of C such that the terms with positive exponent in the corresponding series are the same, and reciprocally.
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- MATEMATIC - Artículos [172]