3 papers
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.CG2024
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,…
cs.CG2024
Ipelets for the Convex Polygonal Geometry
Nithin Parepally, Ainesh Chatterjee, Auguste Gezalyan +5
There are many structures, both classical and modern, involving convex polygonal geometries whose deeper understanding would be facilitated through interactive visualizations. The…