3 papers
math.DG2024
Weighted Voronoi-Delaunay dual on polyhedral surfaces and its finiteness
Xiang Zhu
We aim to give a strict proof of the existence and uniqueness of the weighted Voronoi decomposition and the dual weighted Delaunay triangulation on Euclidean and hyperbolic polyhed…
math.DG2023
The existence of inversive distance circle packing on hyperbolic polyhedral surface
Xiang Zhu
In this paper, we prove that given a hyperbolic polyhedral metric with an inversive distance circle packing, and a target discrete curvature satisfying Gauss-Bonnet formula, there…
math.DG2023
The existence of inversive distance circle packing on polyhedral surface
Xiang Zhu
We prove that for any discrete curvature satisfying Gauss-Bonnet formula, there exist a unique up to scaling inversive distance circle packing in the discrete conformal equivalent…