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

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.

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 02/24/2023