Stability of Curvature Measures
| dc.creator | Chazal, Frédéric | |
| dc.creator | Cohen-Steiner, David | |
| dc.creator | Lieutier, André | |
| dc.creator | Thibert, Boris | |
| dc.date | 2008-12-07 | |
| dc.date.accessioned | 2026-07-07T12:10:09Z | |
| dc.date.available | 2026-07-07T12:10:09Z | |
| dc.description | 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. These results can also be interpreted as a framework for an effective and robust notion of curvature. | |
| dc.identifier | https://arxiv.org/abs/0812.1390 | |
| dc.identifier | http://arxiv.org/abs/0812.1390 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209855 | |
| dc.subject | Computational Geometry | |
| dc.subject | Differential Geometry | |
| dc.title | Stability of Curvature Measures | |
| dc.type | text |