Minimization of Monotonically Levelable Higher Order MRF Energies via Graph Cuts

Date

2010-11-01

Author

Karci, Mehmet Haydar
Demirekler, Mübeccel

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A feature of minimizing images of submodular binary Markov random field (MRF) energies is introduced. Using this novel feature, the collection of minimizing images of levels of higher order, monotonically levelable multilabel MRF energies is shown to constitute a monotone collection. This implies that these minimizing binary images can be combined to give minimizing images of the multilabel MRF energies. Thanks to the graph cuts framework, the mentioned class of binary MRF energies is known to be minimized by maximum flow computations on appropriately constructed graphs. With the aid of these developments an exact and efficient algorithm to minimize monotonically levelable multilabel MRF energies of any order, which is composed of a series of maximum flow computations, is proposed and an application of the proposed algorithm to image denoising is given.

Subject Keywords

Software, Computer Graphics and Computer-Aided Design

URI

https://hdl.handle.net/11511/53146

Journal

IEEE TRANSACTIONS ON IMAGE PROCESSING

DOI

https://doi.org/10.1109/tip.2010.2069670

Collections

Graduate School of Natural and Applied Sciences, Article

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Citation Formats

M. H. Karci and M. Demirekler, “Minimization of Monotonically Levelable Higher Order MRF Energies via Graph Cuts,” IEEE TRANSACTIONS ON IMAGE PROCESSING, pp. 2849–2860, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/53146.