3 papers
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…
cs.CG2025
Software for the Thompson and Funk Polygonal Geometry
Hridhaan Banerjee, Carmen Isabel Day, Auguste H. Gezalyan +6
Metric spaces defined within convex polygons, such as the Thompson, Funk, reverse Funk, and Hilbert metrics, are subjects of recent exploration and study in computational geometry.…
cs.CG2025
On The Heine-Borel Property and Minimum Enclosing Balls
Hridhaan Banerjee, Carmen Isabel Day, Megan Hunleth +6
In this paper, we contribute a proof that minimum radius balls over metric spaces with the Heine-Borel property are always LP type. Additionally, we prove that weak metric spaces,…