P3 & Beyond: Solving Energies with Higher Order Cliques

  title={P3 & Beyond: Solving Energies with Higher Order Cliques},
  author={Pushmeet Kohli and M. Pawan Kumar and Philip H. S. Torr},
  journal={2007 IEEE Conference on Computer Vision and Pattern Recognition},
In this paper we extend the class of energy functions for which the optimal alpha-expansion and alphabeta-swap moves can be computed in polynomial time. Specifically, we introduce a class of higher order clique potentials and show that the expansion and swap moves for any energy function composed of these potentials can be found by minimizing a submodular function. We also show that for a subset of these potentials, the optimal move can be found by solving an st-mincut problem. We refer to this… CONTINUE READING
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