34 citations · 226 across the 51 of their papers we have counts for
4 papers · 1 filter
Discrete Conformal Deformation: Algorithm and Experiments
Jian Sun, Tianqi Wu, Xianfeng Gu +1
In this paper, we introduce a definition of discrete conformality for triangulated surfaces with flat cone metrics and describe an algorithm for solving the problem of prescribing…
Volume and rigidity of hyperbolic polyhedral -manifolds
Feng Luo, Tian Yang
We investigate the rigidity of hyperbolic cone metrics on -manifolds which are isometric gluing of ideal and hyper-ideal tetrahedra in hyperbolic spaces. These metrics will be c…
A discrete uniformization theorem for polyhedral surfaces II
Xianfeng Gu, Ren Guo, Feng Luo +2
A discrete conformality for hyperbolic polyhedral surfaces is introduced in this paper. This discrete conformality is shown to be computable. It is proved that each hyperbolic poly…
The Unified Surface Ricci Flow
Min Zhang, Ren Guo, Wei Zeng +3
Ricci flow deforms the Riemannian metric proportionally to the curvature, such that the curvature evolves according to a heat diffusion process and eventually becomes constant ever…