An Optimal Control Problem in Medical Image Processing
Kristian Bredies, Dirk A. Lorenz, Peter Maaß · 2006
As a starting point of this paper we present a problem from mammographic image processing. We show how it can be formulated as an optimal control problem for PDEs and illustrate that it leads to penalty terms which are non-standard in the theory of optimal control of PDEs. To solve this control problem we use a generalization of the conditional gradient method which is especially suitable for non-convex problems. We apply this method to our control problem and illustrate that this method also covers the recently proposed method of surrogate functionals from the theory of inverse problems.