title: AN EFFICIENT NUMERICAL METHOD FOR THE SOLUTION OF THE L(2) OPTIMAL MASS TRANSFER PROBLEM.
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.
authors.affiliation: Department of Mathematics and Computer Science, Emory University, Atlanta, GA 30322 ( haber@mathcs.emory.edu ).
authors.forename: Eldad
authors.initials: E
authors.lastname: Haber
authors.forename: Tauseef
authors.initials: T
authors.lastname: Rehman
authors.forename: Allen
authors.initials: A
authors.lastname: Tannenbaum