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An Integer Programming Approach to Image Segmentation and Reconstruction Problems

In: Geometric Modelling, Numerical Simulation, and Optimization

Author

Listed:
  • Geir Dahl

    (University of Oslo, Center of Mathematics for Applications)

  • Truls Flatberg

    (SINTEF ICT, Applied Mathematics)

Abstract

This paper discusses segmentation and reconstruction problems using a integer linear programming approach. These problems have important applications in remote sensing, medical image analysis and industrial inspection. We focus on methods that produce optimal or near-optimal solutions for the corresponding optimization problems. We show that for the two problems one may use similar ideas in both modeling and solution methods. These methods are based on Lagrangian decomposition and dynamic programming for certain subproblems (associated with lines in the image). Some computational experiences are also reported.

Suggested Citation

  • Geir Dahl & Truls Flatberg, 2007. "An Integer Programming Approach to Image Segmentation and Reconstruction Problems," Springer Books, in: Geir Hasle & Knut-Andreas Lie & Ewald Quak (ed.), Geometric Modelling, Numerical Simulation, and Optimization, pages 475-496, Springer.
  • Handle: RePEc:spr:sprchp:978-3-540-68783-2_14
    DOI: 10.1007/978-3-540-68783-2_14
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