Stability of Curvature Measures

@article{Chazal2009StabilityOC,
  title={Stability of Curvature Measures},
  author={Fr{\'e}d{\'e}ric Chazal and David Cohen-Steiner and Andr{\'e} Lieutier and Boris Thibert},
  journal={Comput. Graph. Forum},
  year={2009},
  volume={28},
  pages={1485-1496}
}
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… CONTINUE READING

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