An Efficient Numerical Method for the Solution of the L2 Optimal Mass Transfer Problem

Citation:

Eldad Haber, Tauseef Rehman, and Allen Tannenbaum. 2010. “An Efficient Numerical Method for the Solution of the L2 Optimal Mass Transfer Problem.” SIAM J Sci Comput, 32, 1, Pp. 197-211.

Abstract:

In this paper we present a new computationally efficient numerical scheme for the minimizing flow approach for the computation of the optimal L(2) mass transport mapping. In contrast to the integration of a time dependent partial differential equation proposed in [S. Angenent, S. Haker, and A. Tannenbaum, SIAM J. Math. Anal., 35 (2003), pp. 61-97], we employ in the present work a direct variational method. The efficacy of the approach is demonstrated on both real and synthetic data.
Last updated on 11/21/2017