Optimal Mass Transport and Image Registration

Authors:
Steven Haker;Allen Tannenbaum
Affiliations:
-;-
Venue:
VLSM '01 Proceedings of the IEEE Workshop on Variational and Level Set Methods (VLSM'01)
Year:
2001

Citing 0
Cited 2

Mass Preserving Mappings and Image Registration

MICCAI '01 Proceedings of the 4th International Conference on Medical Image Computing and Computer-Assisted Intervention
Numerical Simulation of Diffusive and Aggregation Phenomena in Nonlinear Continuity Equations by Evolving Diffeomorphisms

SIAM Journal on Scientific Computing

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Abstract

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 elastic registration based on the Monge-Kantorovich problem of optimal mass transport.