34 citations · 226 across the 51 of their papers we have counts for
53 papers
Discrete uniformization of polyhedral surfaces
Feng Luo, Yanwen Luo, Zhenghao Rao +1
The main result of the paper shows that each connected polyhedral surface with a hyperbolic background metric, or a Euclidean background metric with uniformly bounded circumdisk ra…
A Rigidity Theorem for Convex Sets in Hyperbolic 3-Space
Feng Luo, Yanwen Luo, Zhenghao Rao
Pogorelov's rigidity theorem states that a compact convex body in the hyperbolic 3-space is determined up to isometry by the intrinsic path metric on its boundary. The main result…
Discrete Conformal Geometry of Polyhedral Surfaces and Its Convergence
Feng Luo, Jian Sun, Tianqi Wu
The paper proves a result on the convergence of discrete conformal maps to the Riemann mappings for Jordan domains. It is a counterpart of Rodin-Sullivan's theorem on convergence o…
Koebe conjecture and the Weyl problem for convex surfaces in hyperbolic 3-space
Feng Luo, Tianqi Wu
We prove that the Koebe circle domain conjecture is equivalent to the Weyl type problem that every complete hyperbolic surface of genus zero is isometric to the boundary of the hyp…
Quadrilateral Mesh Generation II : Meromorphic Quartic Differentials and Abel-Jacobi Condition
Na Lei, Xiaopeng Zheng, Zhongxuan Luo +2
This work discovers the equivalence relation between quadrilateral meshes and meromorphic quartic. Each quad-mesh induces a conformal structure of the surface, and a meromorphic di…
An effective Lie--Kolchin theorem for quasi-unipotent matrices
Thomas Koberda, Feng Luo, Hongbin Sun
We establish an effective version of the classical Lie--Kolchin Theorem. Namely, let be quasi--unipotent matrices such that the Jordan Canonical F…