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03/07/2023
Hausdorff and Gromov-Hausdorff stable subsets of the medial axis
In this paper we introduce a pruning of the medial axis called the (λ,α)...
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02/23/2023
Translation of "Simplizialzerlegungen von Beschrankter Flachheit” by Hans Freudenthal, Annals of Mathematics, Second Series, Volume 43, Number 3, July 1942, Pages 580-583
Translation of the paper “Simplizialzerlegungen von Beschrankter Flachhe...
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12/02/2022
The medial axis of closed bounded sets is Lipschitz stable with respect to the Hausdorff distance under ambient diffeomorphisms
We prove that the medial axis of closed sets is Hausdorff stable in the ...
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06/21/2022
Optimal homotopy reconstruction results à la Niyogi, Smale, and Weinberger
In this article we show that the proof of the homotopy reconstruction re...
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04/03/2022
Brillouin Zones of Integer Lattices and Their Perturbations
The k-th Brillouin zone of a point in a locally finite set in ℝ^d is the...
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04/22/2021
The Density Fingerprint of a Periodic Point Set
Modeling a crystal as a periodic point set, we present a fingerprint con...
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03/20/2018