130 citations · 247 across the 19 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…
Computing Teichmüller Maps between Polygons
Mayank Goswami, Xianfeng Gu, Vamsi P. Pingali +1
By the Riemann-mapping theorem, one can bijectively map the interior of an -gon to that of another -gon conformally. However, (the boundary extension of) this mapping…
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…