6533b86ffe1ef96bd12cd980
RESEARCH PRODUCT
Surface canal, squelette et espace des sphères
Jean-paul BecarSylvie ChambonBastien DurixLionel GarnierGéraldine MorinCéline Roudetsubject
espace des sphères[MATH] Mathematics [math][MATH.MATH-MG] Mathematics [math]/Metric Geometry [math.MG][MATH]Mathematics [math][MATH.MATH-MG]Mathematics [math]/Metric Geometry [math.MG]squeletteMots-clés : Surface canaldescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2016-03-01 |