2011
DOI: 10.1561/9781601985897
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Markov Random Fields in Image Segmentation

Abstract: This monograph gives an introduction to the fundamentals of Markovian modeling in image segmentation as well as a brief overview of recent advances in the field. Segmentation is considered in a common framework, called image labeling, where the problem is reduced to assigning labels to pixels. In a probabilistic approach, label dependencies are modeled by Markov random fields (MRF) and an optimal labeling is determined by Bayesian estimation, in particular maximum a posteriori (MAP) estimation. The main advant… Show more

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Cited by 23 publications
(53 citation statements)
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“…The main family of probabilistic graphical models that have been extensively applied to HSI classification is given by Markov random fields (MRF), which provide powerful and flexible spatial-contextual models for the prior distribution in Bayesian image analysis [53][54][55]. They have been recently used for HSI classification in conjunction with SVM [3,[56][57][58], active learning [59], multinomial logistic regression (MLR) [56,60], subspace projections [57], hierarchical statistical region merging [61], blind source separation and meanfield approximations [62], multidimensional wavelets [63], sparse modeling and Dirichlet distributions [64], and ensemble classifiers [65,66].…”
Section: J Some Notes On Computational Timementioning
confidence: 99%
“…The main family of probabilistic graphical models that have been extensively applied to HSI classification is given by Markov random fields (MRF), which provide powerful and flexible spatial-contextual models for the prior distribution in Bayesian image analysis [53][54][55]. They have been recently used for HSI classification in conjunction with SVM [3,[56][57][58], active learning [59], multinomial logistic regression (MLR) [56,60], subspace projections [57], hierarchical statistical region merging [61], blind source separation and meanfield approximations [62], multidimensional wavelets [63], sparse modeling and Dirichlet distributions [64], and ensemble classifiers [65,66].…”
Section: J Some Notes On Computational Timementioning
confidence: 99%
“…In image segmentation, where the problem is reduced to assigning labels to pixels, label dependencies are modeled by MRF and an optimal labeling is determined by Bayesian estimation. The main advantage of MRF models is that prior information can be imposed locally through clique potentials [23].…”
Section: Markov Random Field Modelmentioning
confidence: 99%
“…Litjens et al [18] wrote an survey for Deep learning in medical applications which is a mark of the popularity of Deep learning for segmentation. Other technics are also availables: genetic algorithm [10], knowledge stored in ontologies [26] or Random Markov Fields [15]. Deep learning (like Convolutional Neural Network (CNN)) is one of the most efficient and promising tools, and it is widely used.…”
Section: Related Workmentioning
confidence: 99%