%0 Journal Article
%J SIAM J Sci Comput
%D 2010
%T An Efficient Numerical Method for the Solution of the L_{2} Optimal Mass Transfer Problem
%A Haber, Eldad
%A Rehman, Tauseef
%A Tannenbaum, Allen
%X 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.
%B SIAM J Sci Comput
%V 32
%P 197-211
%8 2010
%G eng
%N 1
%1 http://www.ncbi.nlm.nih.gov/pubmed/21278828?dopt=Abstract
%R 10.1137/080730238