Prof. Dr. Herbert Egger – On Model Order Reduction for Inverse Problems
in Tomographic Imaging Applications

Department of Mathematics, TU Darmstadt

Abstract

Tomographic imaging aims at recovering information about the interior of a body from multiple measurements taken from outside. On an abstract level tomography can be modeled as an inverse problem with operator valued measurements. In this talk we address two main difficulties arising in the numericalsolution of such problems: ill-posedness and high-dimensionality.
The first issue can be resolved by application of regularization methods and in order to reduce the computational complexity,we develop a problem-adapted model order reduction strategy
that allows to reconstruct tomographic images from perturbed measurements in a stable an extremely efficient manner.