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

Citation:

Haber E, Rehman T, Tannenbaum A. An Efficient Numerical Method for the Solution of the L2 Optimal Mass Transfer Problem. SIAM J Sci Comput. 2010;32 (1) :197-211.

Date Published:

2010

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