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

Hebert, T., Leahy, R.·1989·IEEE Transactions on Medical Imaging

Abstract

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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Metadata

Authors
Hebert, T., & Leahy, R.
Venue
IEEE Transactions on Medical Imaging
Published
1989-06
Volume
8
Issue
2
Pages
194-202
ISSN
0278-0062 (ISSN-L)
OpenAlex
W2008164950
Cited by
622
References
19
FWCI
9.46
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: A generalized EM algorithm for 3-D Bayesian reconstruction from Poisson data using Gibbs priors. https://app.cochat.ai/papers/10.1109/42.24868
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Hebert, T., & Leahy, R. (1989). A generalized EM algorithm for 3-D Bayesian reconstruction from Poisson data using Gibbs priors. IEEE Transactions on Medical Imaging. https://doi.org/10.1109/42.24868

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