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Surface canal, squelette et espace des sphères

Abstract : A canal surface is the envelope of a one-parameter familly of oriented spheres. With the knowledge of center an radius functions associated to it, it is easy to compute a parametrisation of the surface. In this article, we study the inverse operation, which is the search for the spheres in the canal surface. By selecting a point on the boundary and using the sphere space, we estimate the maximal sphere tangent with this point and a second point on the boundary. Furthermore, we estimate a second sphere, which allows to build the characteiristic circle of the canal surface. So this article consists in a new approach of the skeletonization of an object. Indeed, a skeleton is a shape representation model, describing a structure centered in a 2D or 3D shape, whose each point represents the center of a maximal sphere in the object. The skeletonization is the operation to extract the skeleton associated to a shape.
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Submitted on : Saturday, March 14, 2020 - 8:08:59 AM
Last modification on : Monday, September 19, 2022 - 9:53:02 AM
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  • HAL Id : hal-02508286, version 1

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Jean-Paul Becar, Sylvie Chambon, Bastien Durix, Lionel Garnier, Géraldine Morin, et al.. Surface canal, squelette et espace des sphères. Journées du Groupe de Travail en Modélisation Géométriq (GTMG 2016), CNRS; AFIG : Association Française d’Informatique Graphique; Chapitre Français d’Eurographics, Mar 2016, Dijon, France. ⟨hal-02508286⟩

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