In dem regelmäßig stattfindenden Oberseminar tragen Gäste aus aller Welt über Forschungsarbeiten zu Themen vor, die mit der Arbeit von CeVis und MeVis in Verbindung stehen, und Mitarbeiter von CeVis und MeVis präsentieren ihre neusten Ergebnisse.
Image registration is one of the most challenging task within digital imaging, in particular in medical imaging. In most applications simple rigid deformations are not satisfactory and complex, non-rigid and non-linear deformations must be employed.
Given a template image and a reference image, where , the purpose of the registration is to determine a transformation, sometimes called warping, of onto . Ideally, one wants to determine a displacement field such that .
The question is how to find such a mapping.
To start with, we review some of the most promising non-linear registration strategies currently used in medical imaging. Then we show that all
these techniques may be phrased in terms of a variational problem and therefore allow for a unified treatment. More precisely, we consider the following functional
In this talk we consider various choices for the smoother and show how to solve the resulting linear system fast and robust by means of direct schemes. Furthermore we demonstrate the performance of the presented approaches for a variety of academic and real life examples.