An Optimal Control Problem in Medical Image Processing

  • K. Bredies
  • D. A. Lorenz
  • P. Maass
Part of the IFIP International Federation for Information Processing book series (IFIPAICT, volume 202)

Abstract

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.

Keywords

generalized conditional gradient method surrogate functionals image processing optimal control of PDEs 

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Copyright information

© International Federation for Information Processing 2006

Authors and Affiliations

  • K. Bredies
    • 1
  • D. A. Lorenz
    • 1
  • P. Maass
    • 1
  1. 1.University of BremenBremenGermany

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