| Autor: |
Chazal, Frédéric, Cohen-Steiner, David, Lieutier, André, Thibert, Boris |
| Rok vydání: |
2008 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
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. |
| Databáze: |
arXiv |
| Externí odkaz: |
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