Minimizing flows for the Monge-Kantorovich problem

被引：106

作者：

Angenent, S ^{[1
]}

Haker, S

Tannenbaum, A

机构：

[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

[2] Brigham & Womens Hosp, Dept Radiol, Surg Planning Lab, Boston, MA 02115 USA

[3] Georgia Inst Technol, Dept Elect, Atlanta, GA 30332 USA

[4] Georgia Inst Technol, Dept Comp, Atlanta, GA 30332 USA

[5] Georgia Inst Technol, Dept Biomed Engn, Atlanta, GA 30332 USA

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2003年 / 35卷 / 01期

关键词：

optimal transport; gradient flows; weak solutions; image registration; medical imaging;

D O I：

10.1137/S0036141002410927

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we formulate a new minimizing flow for the optimal mass transport (Monge-Kantorovich) problem. We study certain properties of the flow, including weak solutions as well as short- and long-term existence. Optimal transport has found a number of applications, including econometrics, fluid dynamics, cosmology, image processing, automatic control, transportation, statistical physics, shape optimization, expert systems, and meteorology.

引用

页码：61 / 97

页数：37

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