A multi-resolution approach for optimal mass transport

Ayelet Dominitz; Sigurd Angenent; Allen Tannenbaum

doi:10.1117/12.733812

2 October 2007 A multi-resolution approach for optimal mass transport

Ayelet Dominitz, Sigurd Angenent, Allen Tannenbaum

Proceedings Volume 6763, Wavelet Applications in Industrial Processing V; 67630O (2007) https://doi.org/10.1117/12.733812
Event: Optics East, 2007, Boston, MA, United States

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.

Citation Download Citation

Ayelet Dominitz, Sigurd Angenent, and Allen Tannenbaum "A multi-resolution approach for optimal mass transport", Proc. SPIE 6763, Wavelet Applications in Industrial Processing V, 67630O (2 October 2007); https://doi.org/10.1117/12.733812

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