Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
Spatial transformation and registration of brain images using elastically deformable models
Computer Vision and Image Understanding
Non-linear Registration with the Variable Viscosity Fluid Algorithm
IPMI '99 Proceedings of the 16th International Conference on Information Processing in Medical Imaging
MICCAI '99 Proceedings of the Second International Conference on Medical Image Computing and Computer-Assisted Intervention
Optimal Mass Transport and Image Registration
VLSM '01 Proceedings of the IEEE Workshop on Variational and Level Set Methods (VLSM'01)
Deformable templates using large deformation kinematics
IEEE Transactions on Image Processing
Medical Image Registration and Interpolation by Optical Flow with Maximal Rigidity
Journal of Mathematical Imaging and Vision
Generalized Rigid and Generalized Affine Image Registration and Interpolation by Geometric Multigrid
Journal of Mathematical Imaging and Vision
The Monge-Ampère equation: Various forms and numerical solution
Journal of Computational Physics
Membrane nonrigid image registration
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part II
An Efficient Numerical Method for the Solution of the $L_2$ Optimal Mass Transfer Problem
SIAM Journal on Scientific Computing
SIAM Journal on Numerical Analysis
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Image registration is the process of establishing a common geometric reference frame between two or more data sets from the same or different imaging modalities possibly taken at different times. In the context of medical imaging and in particular image guided therapy, the registration problem consists of finding automated methods that align multiple data sets with each other and with the patient. In this paper we propose a method of mass preserving elastic registration based on the Monge-Kantorovich problem of optimal mass transport.