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Numerical Methods for Image Registration$
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Jan Modersitzki

Print publication date: 2003

Print ISBN-13: 9780198528418

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198528418.001.0001

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NON-PARAMETRIC IMAGE REGISTRATION

NON-PARAMETRIC IMAGE REGISTRATION

Chapter:
(p.77) 8 NON-PARAMETRIC IMAGE REGISTRATION
Source:
Numerical Methods for Image Registration
Author(s):

Jan Modersitzki

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198528418.003.0008

This chapter introduces non-parametric registrations. The idea behind this type of registration is to come up with an appropriate measure both for the similarity as well as for the likelihood of a non-parametric transformation. It sets up a general framework for the consideration of different registration techniques, which is based on a variational formulation of the registration problem; the numerical schemes to be considered are based on the Euler-Lagrange equations which characterize a minimizer.

Keywords:   calculus of variations, ill-posedness, Euler-Lagrange equations, partial differential equations, discretization

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