Optimal Mass Transport

Syntax:

[Bdry, VB, VI] = TetBoundary(T, V);

V                         = SphereVolumeNormalize(T, V);

[S, Bdry, CostList] = SphereVOMT_ProjGrad(T, V, Bdry, VB, VI);

Input:

1. T : tetrahedron mesh of the irregular domain

2. V: vertices of tetrahedron mesh

Example: 

main_SphereVOMT.m in VOMT.zip

• Download (VOMT.zip)

• License: Copyright (c) 2025 by Tsung-Ming Huang and Wen-Wei Lin

• Reference:

1. Tsung-Ming  Huang,  Wei-Hung  Liao,  Wen-Wei  Lin,  Mei-Heng  Yueh, and Shing-Tung  Yau, Convergence Analysis of Volumetric Stretch Energy Minimization and Its Associated Optimal Mass Transport, SIAM J. IMAGING SCIENCES, Vol. 16, 1825-1855, 2023.

2. Mei-Heng Yueh, Tsung-Ming Huang, Tiexiang Li, Wen-Wei Lin, and Shing-Tung Yau, Projected Gradient Method Combined with Homotopy Techniques for Volume-Measure-Preserving Optimal Mass Transportation Problems, Journal of Scientific Computing, Vol. 88, 64, 2021.