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Article Dans Une Revue Journal of Computational Physics Année : 2011

A lagrangian scheme for the solution of the optimal mass transfer problem

Résumé

A lagrangian method to numerically solve the L 2 optimal mass transfer problem is presented. The initial and final density distributions are approximated by finite mass particles having a gaussian kernel. Mass conservation and the Hamilton-Jacobi equation for the potential are identically satisfied by constant mass transport along straight lines. The scheme is described in the context of existing methods to solve the problem and a set of numerical examples including applications to medical imagery are presented.
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Dates et versions

hal-04483431 , version 1 (29-02-2024)

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Damiano Lombardi, Angelo Iollo. A lagrangian scheme for the solution of the optimal mass transfer problem. Journal of Computational Physics, 2011, 230 (9), pp.3430 - 3442. ⟨10.1016/j.jcp.2011.01.037⟩. ⟨hal-04483431⟩
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