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• W2042597321 abstract "The Mumford--Shah model is one of the most important image segmentation models and has been studied extensively in the last twenty years. In this paper, we propose a two-stage segmentation method based on the Mumford--Shah model. The first stage of our method is to find a smooth solution $g$ to a convex variant of the Mumford--Shah model. Once $g$ is obtained, then in the second stage the segmentation is done by thresholding $g$ into different phases. The thresholds can be given by the users or can be obtained automatically using any clustering methods. Because of the convexity of the model, $g$ can be solved efficiently by techniques like the split-Bregman algorithm or the Chambolle--Pock method. We prove that our method is convergent and that the solution $g$ is always unique. In our method, there is no need to specify the number of segments $K$ ($Kgeq2$) before finding $g$. We can obtain any $K$-phase segmentations by choosing $(K-1)$ thresholds after $g$ is found in the first stage, and in the second stage there is no need to recompute $g$ if the thresholds are changed to reveal different segmentation features in the image. Experimental results show that our two-stage method performs better than many standard two-phase or multiphase segmentation methods for very general images, including antimass, tubular, MRI, noisy, and blurry images." @default.
• W2042597321 created "2016-06-24" @default.
• W2042597321 creator A5004126693 @default.
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• W2042597321 date "2013-01-01" @default.
• W2042597321 modified "2023-09-25" @default.
• W2042597321 title "A Two-Stage Image Segmentation Method Using a Convex Variant of the Mumford--Shah Model and Thresholding" @default.
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• W2042597321 doi "https://doi.org/10.1137/120867068" @default.
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