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Article Dans Une Revue Computer Graphics Forum Année : 2009

Stability of Curvature Measures

Résumé

We address the problem of curvature estimation from sampled compact sets. The main contribution is a stability result: we show that the Gaussian, mean or anisotropic curvature measures of the offset of a compact set K with positive μ-reach can be estimated by the same curvature measures of the offset of a compact set K' close to K in the Hausdorff sense. We show how these curvature measures can be computed for finite unions of balls. The curvature measures of the offset of a compact set with positive μ-reach can thus be approximated by the curvature measures of the offset of a point-cloud sample.

Dates et versions

hal-00864486 , version 1 (21-09-2013)

Identifiants

Citer

Frédéric Chazal, David Cohen-Steiner, André Lieutier, Boris Thibert. Stability of Curvature Measures. Computer Graphics Forum, 2009, 28 (5), pp.1485-1496. ⟨10.1111/j.1467-8659.2009.01525.x⟩. ⟨hal-00864486⟩
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