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