The DOI matches its Crossref record; 19 of the 19 references it cites were found in a registry or an index.
A generalized EM algorithm for 3-D Bayesian reconstruction from Poisson data using Gibbs priors
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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Cites
Maximum Likelihood from Incomplete Data Via the EM Algorithm
Dempster, A. P., Laird, N. M., & Rubin, D. B. (1977) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1977.tb01600.x · Cited by 50,444
Stochastic relaxation, gibbs distributions, and the bayesian restoration of images.
Geman, S., & Geman, D. (1984) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.1984.4767596 · Cited by 17,949
Spatial Interaction and the Statistical Analysis of Lattice Systems
Besag, J. (1974) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1974.tb00999.x · Cited by 6,067
Approximation Theorems of Mathematical Statistics
Serfling, R. J. (1980) · Wiley Series in Probability and Statistics · doi:10.1002/9780470316481 · Cited by 5,851
(1982) · Elsevier eBooks · doi:10.1016/c2009-0-21955-6 · Cited by 4,596
Maximum Likelihood from Incomplete Data via the EM Algorithm
Dempster, A. P., Laird, N. M., & Rubin, D. B. (1976) · Cited by 4,517
Maximum Likelihood Reconstruction for Emission Tomography
Shepp, L. A., & Vardi, Y. (1982) · IEEE Transactions on Medical Imaging · doi:10.1109/tmi.1982.4307558 · Cited by 4,429
On the Statistical Analysis of Dirty Pictures
Besag, J. (1986) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1986.tb01412.x · Cited by 4,191
On the Convergence Properties of the EM Algorithm
Wu, C. F. J. (1983) · The Annals of Statistics · doi:10.1214/aos/1176346060 · Cited by 3,269
Advanced Statistical Methods In Biometric Research
Rao, C. R. (1952) · Birchandra State Central Library,tripura · Cited by 2,051
Cited by
Deterministic edge-preserving regularization in computed imaging
Charbonnier, P., Blanc-Feraud, L., Aubert, G., & Barlaud, M. (1997) · IEEE Transactions on Image Processing · doi:10.1109/83.551699 · Cited by 1,301
Black, M. J., & Rangarajan, A. (1996) · International Journal of Computer Vision · doi:10.1007/bf00131148 · Cited by 757
Computational anatomy: an emerging discipline
Grenander, U., & Miller, M. I. (1998) · Quarterly of Applied Mathematics · doi:10.1090/qam/1668732 · Cited by 623
Deep learning for tomographic image reconstruction
Wang, G., Ye, J. C., & De Man, B. (2020) · Nature Machine Intelligence · doi:10.1038/s42256-020-00273-z · Cited by 531
Alexandrakis, G., Rannou, F. R., & Chatziioannou, A. F. (2005) · Physics in Medicine and Biology · doi:10.1088/0031-9155/50/17/021 · Cited by 465
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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