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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

   
 

 

Covering rational ruled surfaces


Authors: J. Rafael Sendra, David Sevilla and Carlos Villarino
Journal: Math. Comp.
MSC (2010): Primary 14Q10, 68W30
DOI: https://doi.org/10.1090/mcom/3193
Published electronically: March 3, 2017
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Abstract: We present an algorithm that covers any given rational ruled surface with two rational parametrizations. In addition, we present an algorithm that transforms any rational surface parametrization into a new rational surface parametrization without affine base points and such that the degree of the corresponding maps is preserved.


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J. Rafael Sendra
Affiliation: Department of Physics and Mathematics, Research Group asynacs, University of Alcalá, E-28871 Alcalá de Henares, Madrid, Spain
Email: Rafael.Sendra@uah.es

David Sevilla
Affiliation: University Center of Mérida, University of Extremadura, Av. Santa Teresa de Jornet 38, E-06800 Mérida, Badajoz, Spain
Email: sevillad@unex.es

Carlos Villarino
Affiliation: Department of Physics and Mathematics, Research Group asynacs, University of Alcalá, E-28871 Alcalá de Henares, Madrid, Spain
Email: Carlos.Villarino@uah.es

DOI: https://doi.org/10.1090/mcom/3193
Keywords: Parametrization of ruled surfaces, normality, base points
Received by editor(s): October 20, 2014
Received by editor(s) in revised form: April 26, 2016
Published electronically: March 3, 2017
Article copyright: © Copyright 2017 by the authors