34 citations · 226 across the 51 of their papers we have counts for
4 papers · 1 filter
A new combinatorial class of 3-manifold triangulations
Feng Luo, Stephan Tillmann
We define a new combinatorial class of triangulations of closed 3-manifolds, satisfying a weak version of 0-efficiency combined with a weak version of minimality, and study them us…
A discrete uniformization theorem for polyhedral surfaces
Xianfeng Gu, Feng Luo, Jian Sun +1
A discrete conformality for polyhedral metrics on surfaces is introduced in this paper which generalizes earlier work on the subject. It is shown that each polyhedral metric on a s…
A Variational Principle for Improving 2D Triangle Meshes based on Hyperbolic Volume
Jian Sun, Wei Chen, Junhui Deng +3
In this paper, we consider the problem of improving 2D triangle meshes tessellating planar regions. We propose a new variational principle for improving 2D triangle meshes where th…
Variational Principles for Minkowski Type Problems, Discrete Optimal Transport, and Discrete Monge-Ampere Equations
Xianfeng Gu, Feng Luo, Jian Sun +1
In this paper, we develop several related finite dimensional variational principles for discrete optimal transport (DOT), Minkowski type problems for convex polytopes and discrete…