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MRF Labeling with a Graph-Shifts Algorithm

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Combinatorial Image Analysis (IWCIA 2008)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4958))

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Abstract

We present an adaptation of the recently proposed graph-shifts algorithm for labeling MRF problems from low-level vision. Graph-shifts is an energy minimization algorithm that does labeling by dynamically manipulating, or shifting, the parent-child relationships in a hierarchical decomposition of the image. Graph-shifts was originally proposed for labeling using relatively small label sets (e.g., 9) for problems in high-level vision. In the low-level vision problems we consider, there are much larger label sets (e.g., 256). However, the original graph-shifts algorithm does not scale well with the number of labels; for example, the memory requirement is quadratic in the number of labels. We propose four improvements to the graph-shifts representation and algorithm that make it suitable for doing labeling on these large label sets. We implement and test the algorithm on two low-level vision problems: image restoration and stereo. Our results demonstrate the potential for such a hierarchical energy minimization algorithm on low-level vision problems with large label sets.

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Valentin E. Brimkov Reneta P. Barneva Herbert A. Hauptman

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© 2008 Springer-Verlag Berlin Heidelberg

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Corso, J.J., Tu, Z., Yuille, A. (2008). MRF Labeling with a Graph-Shifts Algorithm. In: Brimkov, V.E., Barneva, R.P., Hauptman, H.A. (eds) Combinatorial Image Analysis. IWCIA 2008. Lecture Notes in Computer Science, vol 4958. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78275-9_15

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  • DOI: https://doi.org/10.1007/978-3-540-78275-9_15

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-78274-2

  • Online ISBN: 978-3-540-78275-9

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