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      Space-alternating generalized expectation-maximization algorithm

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          Maximum likelihood localization of multiple sources by alternating projection

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            Parameter estimation of superimposed signals using the EM algorithm

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              A generalized EM algorithm for 3-D Bayesian reconstruction from Poisson data using Gibbs priors.

              A generalized expectation-maximization (GEM) algorithm is developed for Bayesian reconstruction, based on locally correlated Markov random-field priors in the form of Gibbs functions and on the Poisson data model. For the M-step of the algorithm, a form of coordinate gradient ascent is derived. The algorithm reduces to the EM maximum-likelihood algorithm as the Markov random-field prior tends towards a uniform distribution. Three different Gibbs function priors are examined. Reconstructions of 3-D images obtained from the Poisson model of single-photon-emission computed tomography are presented.
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                Author and article information

                Journal
                IEEE Transactions on Signal Processing
                IEEE Trans. Signal Process.
                Institute of Electrical and Electronics Engineers (IEEE)
                1053587X
                Oct. 1994
                : 42
                : 10
                : 2664-2677
                Article
                10.1109/78.324732
                d3ab8f65-2b9f-4f99-b6d2-b0d41ab6f272
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