A computational study of ruled surfaces

Laurent Busé; Mohamed Elkadi; André Galligo

inria-00142973, version 1

A computational study of ruled surfaces

Laurent Busé ()^a^, 1, Mohamed Elkadi^b^, 1, André Galligo ()^b^, 1

Journal of Symbolic Computation 44, 3 (2009) 232--241

Résumé : We study rational ruled surfaces and $\mu$-bases which were recently considered in a series of articles by Chen and coworkers. We give short and conceptual proofs with geometric insights and efficient algorithms. In particular, we provide a method to reparameterize an improper parameterization and we also briefly explain how to deal with approximate input data. Finally we provide an algorithmic description of self-intersection loci.

a – INRIA
b – Université de Nice Sophia-Antipolis
1 : GALAAD (INRIA Sophia Antipolis)
INRIA – CNRS : UMR6621 – Université Nice Sophia Antipolis [UNS]

inria-00142973, version 1
http://hal.inria.fr/inria-00142973
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Contributeur : Laurent Busé <>
Soumis le : Lundi 23 Avril 2007, 17:22:15
Dernière modification le : Mardi 17 Mars 2009, 10:35:28

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DOI : 10.1016/j.jsc.2007.04.005

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