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Titlebook: Optimal Transport for Applied Mathematicians; Calculus of Variatio Filippo Santambrogio Textbook 2015 Springer International Publishing Swi

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One-dimensional issues,ng one. After the analysis of the 1D case, a less known transport map in the higher-dimensional case, called the ., built from 1D constructions, is presented, and we prove that it is a limit of degenerate optimal maps. The discussion section deals with applications of 1D transport maps to image proc
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Benamou-Brenier and other continuous numerical methods, and Y. Brenier, which transforms the problem into a tractable convex variational problem in dimension . + 1. We describe it strongly using the theory about Wasserstein geodesics (rather than finding the map, this method finds the geodesic curve ..). Two other classical continuous methods are presen
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