3 papers
math.NA2025
When surface evolution meets Fokker-Planck equation: a novel tangential velocity model for uniform parametrization
Jiangong Pan, Guozhi Dong, Hailong Guo +1
A common issue in simulating geometric evolution of surfaces is unexpected clustering of points that may cause numerical instability. We propose a novel artificial tangential veloc…
math-ph2025
Solving Unbalanced Optimal Transport on Point Cloud by Tangent Radial Basis Function Method
Jiangong Pan, Wei Wan, Chenlong Bao +1
In this paper, we solve unbalanced optimal transport (UOT) problem on surfaces represented by point clouds. Based on alternating direction method of multipliers algorithm, the orig…
math.NA2024
Gradient enhanced ADMM Algorithm for dynamic optimal transport on surfaces
Guozhi Dong, Hailong Guo, Chengrun Jiang +1
A gradient enhanced ADMM algorithm for optimal transport on general surfaces is proposed in this paper. Based on Benamou and Brenier's dynamical formulation, we combine gradient re…