inria-00142973, version 1

## A computational study of ruled surfaces

Laurent Busé () a1, Mohamed Elkadi b1, André Galligo () b1

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]
• Domaine : Informatique/Calcul formel
Mathématiques/Géométrie algébrique

• inria-00142973, version 1
• oai:hal.inria.fr:inria-00142973
• Contributeur :
• Soumis le : Lundi 23 Avril 2007, 17:22:15
• Dernière modification le : Mardi 17 Mars 2009, 10:35:28