Title:
Minimizing Flows for the Monge–Kantorovich Problem
Minimizing Flows for the Monge–Kantorovich Problem
| dc.contributor.author | Angenent, Sigurd | |
| dc.contributor.author | Haker, Steven | |
| dc.contributor.author | Tannenbaum, Allen R. | |
| dc.contributor.corporatename | Georgia Institute of Technology. Dept. of Biomedical Engineering | |
| dc.contributor.corporatename | Emory University. Dept. of Biomedical Engineering | |
| dc.contributor.corporatename | Georgia Institute of Technology. School of Electrical and Computer Engineering | |
| dc.contributor.corporatename | University of Wisconsin--Madison. Dept. of Mathematics | |
| dc.contributor.corporatename | Brigham and Women’s Hospital. Dept. of Radiology. Surgical Planning Laboratory | |
| dc.date.accessioned | 2009-11-30T16:23:12Z | |
| dc.date.available | 2009-11-30T16:23:12Z | |
| dc.date.issued | 2003 | |
| dc.description | ©2003 Society for Industrial and Applied Mathematics. Permalink: http://dx.doi.org/10.1137/S0036141002410927 | en |
| dc.description | DOI: 10.1137/S0036141002410927 | |
| dc.description.abstract | 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. | en |
| dc.identifier.citation | Sigurd Angenent, Steven Haker, and Allen Tannenbaum, "Minimizing flows for the Monge-Kantorovich problem," SIAM Journal on Mathematical Analysis, Vol. 35, no. 1, 61-97 (2003) | en |
| dc.identifier.issn | 0036-1410 | |
| dc.identifier.uri | http://hdl.handle.net/1853/31233 | |
| dc.language.iso | en_US | en |
| dc.publisher | Georgia Institute of Technology | en |
| dc.publisher.original | Society for Industrial and Applied Mathematics | |
| dc.subject | Optimal transport | en |
| dc.subject | Gradient flows | en |
| dc.subject | Weak solutions | en |
| dc.subject | Image registration | en |
| dc.subject | Medical imaging | en |
| dc.title | Minimizing Flows for the Monge–Kantorovich Problem | en |
| dc.type | Text | |
| dc.type.genre | Article | |
| dspace.entity.type | Publication | |
| local.contributor.corporatename | Wallace H. Coulter Department of Biomedical Engineering | |
| relation.isOrgUnitOfPublication | da59be3c-3d0a-41da-91b9-ebe2ecc83b66 |