Workshop on Bioimaging II / PDEs, Wed, 21 Nov, 2007
Speaker: Claudia Frohn-Schauf
Abstract
We consider the solution of the nonlinear image registration problem by using variational methods and focusing on mono-modal images. Especially nonlinear image registration techniques allow the alignment of data sets that are mismatched in a nonuniform manner. In the process the minimization of a similarity measure (depending on the modality (mono- or multi-modal)) leads to an ill-posed problem. There exist different possibilities for the necessary regularization of which we mainly focus on elastic and total-variation-based ones. Furthermore, we investigate two solution methods, namely the Landweber iteration and the Levenberg-Marquardt method with different details. The resulting PDEs are solved by a linear or nonlinear multigrid method which can be combined with a multiscale approach serving for good approximations to the solution on coarser as start approximations on finer levels. The presentation is completed by several examples demonstrating the capability of the methods.
Claudia Frohn-Schauf and Kristian Witsch
Institute of Mathematics
Heinrich-Heine-University Duesseldorf, Germany
URL: www.ricam.oeaw.ac.at/specsem/ssqbm/participants/abstracts/index.php
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