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Reports
Stability of Curvature Measures
Abstract : 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 $\mu$-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 $\mu$-reach can thus be approximated by the curvature measures of the offset of a point-cloud sample. These results can also be interpreted as a framework for an effective and robust notion of curvature.
Cited literature [32 references]
https://hal.inria.fr/inria-00344903
Contributor : Frédéric Chazal <>
Submitted on : Saturday, December 6, 2008 - 3:17:52 PM
Last modification on : Tuesday, December 8, 2020 - 10:33:39 AM
Long-term archiving on: : Monday, June 7, 2010 - 11:50:39 PM
Contributor : Frédéric Chazal <>
Submitted on : Saturday, December 6, 2008 - 3:17:52 PM
Last modification on : Tuesday, December 8, 2020 - 10:33:39 AM
Long-term archiving on: : Monday, June 7, 2010 - 11:50:39 PM
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RR-6756.pdf
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