A lagrangian scheme for the solution of the optimal mass transfer problem

JOURNAL OF COMPUTATIONAL PHYSICS

卷:230

Article

Iollo, Angelo¹ 

[1] Univ Bordeaux 1, Inst Math Bordeaux UMR 5251, F-33405 Talence, France

关键词: Monge-Kantorovich problem;    Optimal transport;    Lagrangian methods;   

DOI  :  10.1016/j.jcp.2011.01.037

来源: Elsevier

【 摘 要 】

A lagrangian method to numerically solve the L-2 optimal mass transfer problem is presented. The initial and final density distributions are approximated by finite mass particles having a gaussian kernel. Mass conservation and the Hamilton-Jacobi equation for the potential are identically satisfied by constant mass transport along straight lines. The scheme is described in the context of existing methods to solve the problem and a set of numerical examples including applications to medical imagery are presented. (c) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free