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Analysis of Dynamic Voronoi Diagrams in the Hilbert Metric

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arxiv 2304.02745 v4 pith:2ECZJ5A6 submitted 2023-04-05 cs.CG

Madeline Bumpus , Xufeng Caesar Dai , Auguste H. Gezalyan , Sam Munoz , Renita Santhoshkumar , Songyu Ye , David M. Mount This is my paper · ORCID
classification cs.CG
keywords hilbertmetricconvexdiagramsdynamicvoronoiadditionanalysis
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The Hilbert metric is a projective metric defined on a convex body which generalizes the Cayley-Klein model of hyperbolic geometry to any convex set. In this paper we analyze Hilbert Voronoi diagrams in the Dynamic setting. In addition we introduce dynamic visualization software for Voronoi diagrams in the Hilbert metric on user specified convex polygons.

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Cited by 1 Pith paper

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  1. On The Heine-Borel Property and Minimum Enclosing Balls

    cs.CG 2024-12 conditional novelty 5.0 of 10

    Minimum radius balls in metric spaces with the Heine-Borel property, including Hilbert, Thompson, and Funk geometries, are LP-type problems.

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