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math.NA2021★ 1 cited
Numerical Solution of the -Optimal Transport Problem on Surfaces
Luca Berti, Enrico Facca, Mario Putti
In this article we study the numerical solution of the -Optimal Transport Problem on 2D surfaces embedded in , via the DMK formulation introduced in [FaccaCardinPutti:201…
math.NA2021
Computing the Cut Locus of a Riemannian Manifold via Optimal Transport
Enrico Facca, Luca Berti, Francesco Fassó +1
In this paper, we give a new characterization of the cut locus of a point on a compact Riemannian manifold as the zero set of the optimal transport density solution of the Monge-Ka…