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|a 10.1109/TIP.2011.2182522
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|a eng
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1 |
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|a Gu, Ying
|e verfasserin
|4 aut
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| 245 |
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|a A direct approach toward global minimization for multiphase labeling and segmentation problems
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|c 2012
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|a Text
|b txt
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|a ƒaComputermedien
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|a Date Completed 15.08.2012
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|a Date Revised 19.04.2012
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|a published: Print-Electronic
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|a Citation Status MEDLINE
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|a This paper intends to extend the minimization algorithm developed by Bae, Yuan and Tai [IJCV, 2011] in several directions. First, we propose a new primal-dual approach for global minimization of the continuous Potts model with applications to the piecewise constant Mumford-Shah model for multiphase image segmentation. Different from the existing methods, we work directly with the binary setting without using convex relaxation, which is thereby termed as a direct approach. Second, we provide the sufficient and necessary conditions to guarantee a global optimum. Moreover, we provide efficient algorithms based on a reduction in the intermediate unknowns from the augmented Lagrangian formulation. As a result, the underlying algorithms involve significantly fewer parameters and unknowns than the naive use of augmented Lagrangian-based methods; hence, they are fast and easy to implement. Furthermore, they can produce global optimums under mild conditions
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|a Journal Article
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|a Research Support, U.S. Gov't, Non-P.H.S.
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| 700 |
1 |
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|a Wang, Li-Lian
|e verfasserin
|4 aut
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| 700 |
1 |
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|a Tai, Xue-Cheng
|e verfasserin
|4 aut
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| 773 |
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|i Enthalten in
|t IEEE transactions on image processing : a publication of the IEEE Signal Processing Society
|d 1992
|g 21(2012), 5 vom: 08. Mai, Seite 2399-411
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|x 1941-0042
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