David M. Mount

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20232026

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math.MG2026

On the Duality of Coverings in Hilbert Geometry

Sunil Arya, David M. Mount

We prove polarity duality for covering problems in Hilbert geometry. Let $G$ and $K$ be convex bodies in $R^{d}$ where $G \subset int (K)$ and $\operatorname{i…

cs.CG2026

Visualizing Higher Order Structures, Overlap Regions, and Clustering in the Hilbert Geometry

Hridhaan Banerjee, Soren Brown, June Cagan +9

Higher-order Voronoi diagrams and Delaunay mosaics in polygonal metrics have only recently been studied, yet no tools exist for visualizing them. We introduce a tool that fills thi…