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Rapport Année : 2002

On The Approximation Of The Normal Vector Field Of A Smooth Surface

Boris Thibert

Résumé

In this paper, we compare the normal vector field of a compact (oriented) smooth surface S with the normals of a triangulated mesh T whose vertices belong to S. As a corollary, we deduce an approximation of the area of S by the area of T. We apply this result to the restricted Delaunay triangulation obtained with a sample of S. Using Chew's algorithm, we build sequences of triangulations inscribed on S, whose curvature measures tend to the curvature measures of S.

Domaines

Autre [cs.OH]
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Dates et versions

inria-00072112 , version 1 (23-05-2006)

Identifiants

  • HAL Id : inria-00072112 , version 1

Citer

Jean-Marie Morvan, Boris Thibert. On The Approximation Of The Normal Vector Field Of A Smooth Surface. RR-4476, INRIA. 2002. ⟨inria-00072112⟩
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