Variational problems on flows of diffeomorphisms for image matching

Authors:
Paul Dupuis, Ulf Grenander and Michael I. Miller

Journal:
Quart. Appl. Math. **56** (1998), 587-600

MSC:
Primary 49J20; Secondary 58E25

DOI:
https://doi.org/10.1090/qam/1632326

MathSciNet review:
MR1632326

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Abstract | References | Similar Articles | Additional Information

Abstract: This paper studies a variational formulation of the image matching problem. We consider a scenario in which a canonical representative image is to be carried via a smooth change of variable into an image that is intended to provide a good fit to the observed data. The images are all defined on an open bounded set . The changes of variable are determined as solutions of the nonlinear Eulerian transport equation

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DOI:
https://doi.org/10.1090/qam/1632326

Article copyright:
© Copyright 1998
American Mathematical Society