DCG: | Discrete and Computational Geometry, vol. 49, pages 22-45, 2013. |

SoCG'11: | Proceedings of the Annual Symposium on Computational Geometry, pages 57-64, 2011. |

DCG | |

SoCG'11 | |

DOI: | 10.1007/s00454-012-9465-x |

arXiv: | 1102.4972 |

Distance function to a compact set plays a central role in several areas of computational geometry. Methods that rely on it are robust to the perturbations of the data by the Hausdorff noise, but fail in the presence of outliers. The recently introduced

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Frédéric Chazal, David Cohen-Steiner, Quentin Mérigot. Geometric inference for probability measures. *Foundations of Computational Mathematics*, 11:733–751, 2011.