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arXiv · 2304.02745

Analysis of Dynamic Voronoi Diagrams in the Hilbert Metric

Madeline Bumpus·Xufeng Caesar Dai·Auguste H. Gezalyan·Sam Munoz·Renita Santhoshkumar·Songyu Ye·David M. Mount
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Abstract

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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Madeline Bumpus, Xufeng Caesar Dai, Auguste H. Gezalyan, Sam Munoz, Renita Santhoshkumar, Songyu Ye, David M. Mount. 2023-04-05. Analysis of Dynamic Voronoi Diagrams in the Hilbert Metric. https://arxiv.org/abs/2304.02745

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