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

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2 Author(s)
Hebert, T. ; Signal & Image Process. Inst., Univ. of Southern California, Los Angeles, CA, USA ; Leahy, R.

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

Published in:
Medical Imaging, IEEE Transactions on  (Volume:8 ,  Issue: 2 )

Date of Publication: Jun 1989

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