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Proceedings Paper

A multi-resolution approach for optimal mass transport
Author(s): Ayelet Dominitz; Sigurd Angenent; Allen Tannenbaum
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Paper Abstract

Optimal mass transport is an important technique with numerous applications in econometrics, fluid dynamics, automatic control, statistical physics, shape optimization, expert systems, and meteorology. Motivated by certain problems in image registration and medical image visualization, in this note, we describe a simple gradient descent methodology for computing the optimal L2 transport mapping which may be easily implemented using a multiresolution scheme. We also indicate how the optimal transport map may be computed on the sphere. A numerical example is presented illustrating our ideas.

Paper Details

Date Published: 2 October 2007
PDF: 11 pages
Proc. SPIE 6763, Wavelet Applications in Industrial Processing V, 67630O (2 October 2007); doi: 10.1117/12.733812
Show Author Affiliations
Ayelet Dominitz, Technion-Israel Institute of Technology (Israel)
Sigurd Angenent, Univ. of Wisconsin/Madison (United States)
Allen Tannenbaum, Georgia Institute of Technology (United States)
Technion-Israel Institute of Technology (Israel)


Published in SPIE Proceedings Vol. 6763:
Wavelet Applications in Industrial Processing V
Frédéric Truchetet; Olivier Laligant, Editor(s)

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