GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems
SIAM Journal on Scientific and Statistical Computing
Mesh-Independence for an Augmented Lagrangian-SQP Method in Hilbert Spaces
SIAM Journal on Control and Optimization
Efficient preconditioning of the linearized Navier—Stokes equations for incompressible flow
Journal of Computational and Applied Mathematics - Special issue on numerical analysis 2000 Vol. VII: partial differential equations
Multigrid
Fast Finite Volume Simulation of 3D Electromagnetic Problems with Highly Discontinuous Coefficients
SIAM Journal on Scientific Computing
Analysis of Inexact Trust-Region SQP Algorithms
SIAM Journal on Optimization
A Digital Brain Atlas for Surgical Planning, Model-Driven Segmentation, and Teaching
IEEE Transactions on Visualization and Computer Graphics
Perspectives in Flow Control and Optimization
Perspectives in Flow Control and Optimization
Mass Preserving Mappings and Image Registration
MICCAI '01 Proceedings of the 4th International Conference on Medical Image Computing and Computer-Assisted Intervention
Optimal Mass Transport for Registration and Warping
International Journal of Computer Vision
Numerical Methods for Evolutionary Differential Equations
Numerical Methods for Evolutionary Differential Equations
An Inexact SQP Method for Equality Constrained Optimization
SIAM Journal on Optimization
IEEE Transactions on Information Technology in Biomedicine
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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.