A spatially constrained generative asymmetric Gaussian mixture model for image segmentation |
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Affiliation: | 1. Department of Computer Science and Engineering, Jatiya Kabi Kazi Nazrul Islam University, Bangladesh;2. Department of Computer Science and Engineering, Bangladesh University of Engineering and Technology, Bangladesh;1. Centre for Quantum Computation and Intelligent Systems, University of Technology Sydney, NSW 2007, Australia;2. Chongqing Key Laboratory of Signal and Information Processing, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;3. Zhejiang Sci-Tech University, Hangzhou 310018, China;1. School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China;2. School of Information, Qilu University of Technology, Jinan 250353, China |
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Abstract: | Accurate image segmentation is an essential step in image processing, where Gaussian mixture models with spatial constraint play an important role. Nevertheless, most methods suffer from one or more challenges such as limited robustness to noise, over-smoothness for segmentations, and lack of flexibility to fit the observed data. To address these issues, in this paper, we propose a generative asymmetric Gaussian mixture model with spatial constraint for image segmentation. The asymmetric distribution is modified to be easily incorporated the spatial information. Then our asymmetric model can be constructed based on the posterior and prior probabilities of within-cluster and between-cluster. Based on the Kullback-Leibler divergence, we introduce two pseudo-likelihood quantities which consider the neighboring priors of within-cluster and between-cluster. Finally, we derive an expectation maximization algorithm to maximize the approximation of the data log-likelihood. We compare our algorithm with state-of-the-art segmentation approaches to demonstrate the superior performance of the proposed algorithm. |
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Keywords: | Asymmetric Gaussian mixture model Expectation-maximization (EM) algorithm Image segmentation Markov random fields (MRFs) Spatial constraint |
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