A lagrangian scheme for the solution of the optimal mass transfer problem
A Iollo, D Lombardi - Journal of Computational Physics, 2011 - Elsevier
Journal of Computational Physics, 2011•Elsevier
A lagrangian method to numerically solve the L2 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.
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.
A lagrangian method to numerically solve the L2 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.
Elsevier