Lines of curvature and umbilical points for implicit surfaces

Abstract : This paper develops a method to analyze and compute the lines of curvature and their differential geometry defined on implicit surfaces. With our technique, we can explicitly obtain the analytic formulae of the associated geometric attributes of an implicit surface, e.g. torsion of a line of curvature and Gaussian curvature. Additionally, it can be used to directly derive the closed formulae of principal directions and corresponding principal curvature of an implicit surface. We also present a novel criterion for nonumbilical points and umbilical points on an implicit surface
Type de document :
Article dans une revue
Computer Aided Geometric Design, Elsevier, 2007, 24 (7), pp.395-409. 〈10.1016/j.cagd.2007.04.005〉
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https://hal.inria.fr/inria-00201815
Contributeur : Chine Publications Liama <>
Soumis le : jeudi 3 janvier 2008 - 10:55:19
Dernière modification le : vendredi 25 mai 2018 - 12:02:04

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Wu-Jun Che, Jean-Claude Paul, Wiao-Peng Zhang. Lines of curvature and umbilical points for implicit surfaces. Computer Aided Geometric Design, Elsevier, 2007, 24 (7), pp.395-409. 〈10.1016/j.cagd.2007.04.005〉. 〈inria-00201815〉

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