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Cited by 344

The DOI matches its Crossref record; 26 of the 26 references it cites were found in a registry or an index.

Globally convergent image reconstruction for emission tomography using relaxed ordered subsets algorithms

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Ahn, S., Fessler, J.A.·2003·IEEE Transactions on Medical Imaging
DOI 10.1109/tmi.2003.812251
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Abstract

We present two types of globally convergent relaxed ordered subsets (OS) algorithms for penalized-likelihood image reconstruction in emission tomography: modified block sequential regularized expectation-maximization (BSREM) and relaxed OS separable paraboloidal surrogates (OS-SPS). The global convergence proof of the existing BSREM (De Pierro and Yamagishi, 2001) required a few a posteriori assumptions. By modifying the scaling functions of BSREM, we are able to prove the convergence of the modified BSREM under realistic assumptions. Our modification also makes stepsize selection more convenient. In addition, we introduce relaxation into the OS-SPS algorithm (Erdoğan and Fessler, 1999) that otherwise would converge to a limit cycle. We prove the global convergence of diagonally scaled incremental gradient methods of which the relaxed OS-SPS is a special case; main results of the proofs are from (Nedić and Bertsekas, 2001) and (Correa and Lemaréchal, 1993). Simulation results showed that both new algorithms achieve global convergence yet retain the fast initial convergence speed of conventional unrelaxed ordered subsets algorithms.

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Metadata

Authors
Ahn, S., & Fessler, J. A.
Venue
IEEE Transactions on Medical Imaging
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Published
2003-05
Volume
22
Issue
5
Pages
613-626
ISSN
0278-0062 (ISSN-L)
DOI
10.1109/tmi.2003.812251
OpenAlex
W2128456478
Cited by
344
References
26
FWCI
12.67
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Globally convergent image reconstruction for emission tomography using relaxed ordered subsets algorithms. https://app.cochat.ai/papers/10.1109/tmi.2003.812251
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Ahn, S., & Fessler, J. A. (2003). Globally convergent image reconstruction for emission tomography using relaxed ordered subsets algorithms. IEEE Transactions on Medical Imaging. https://doi.org/10.1109/tmi.2003.812251

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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