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  A new non-monotonic algorithm for PET image reconstruction

Sra, S., Kim, D., Dhillon, I., & Schölkopf, B. (2009). A new non-monotonic algorithm for PET image reconstruction. In P. Yu (Ed.), IEEE Nuclear Science Symposium Conference Record (NSS/MIC 2009) (pp. 2500-2502). Piscataway, NJ, USA: IEEE.

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Sra, S1, 2, Author              
Kim, D1, 2, Author              
Dhillon, I1, 2, Author              
Schölkopf, B1, 2, Author              
Affiliations:
1Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497795              
2Max Planck Institute for Biological Cybernetics, Max Planck Society, Spemannstrasse 38, 72076 Tübingen, DE, ou_1497794              

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 Abstract: Maximizing some form of Poisson likelihood (either with or without penalization) is central to image reconstruction algorithms in emission tomography. In this paper we introduce NMML, a non-monotonic algorithm for maximum likelihood PET image reconstruction. NMML offers a simple and flexible procedure that also easily incorporates standard convex regular-ization for doing penalized likelihood estimation. A vast number image reconstruction algorithms have been developed for PET, and new ones continue to be designed. Among these, methods based on the expectation maximization (EM) and ordered-subsets (OS) framework seem to have enjoyed the greatest popularity. Our method NMML differs fundamentally from methods based on EM: i) it does not depend on the concept of optimization transfer (or surrogate functions); and ii) it is a rapidly converging nonmonotonic descent procedure. The greatest strengths of NMML, however, are its simplicity, efficiency, and scalability, which make it especially attractive for tomograph ic reconstruction. We provide a theoretical analysis NMML, and empirically observe it to outperform standard EM based methods, sometimes by orders of magnitude. NMML seamlessly allows integreation of penalties (regularizers) in the likelihood. This ability can prove to be crucial, especially because with the rapidly rising importance of combined PET/MR scanners, one will want to include more “prior” knowledge into the reconstruction.

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 Dates: 2009-10
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: DOI: 10.1109/NSSMIC.2009.5402060
BibTex Citekey: 5958
 Degree: -

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Title: IEEE Nuclear Science Symposium Conference Record (NSS/MIC 2009)
Place of Event: Orlando, FL, USA
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Title: IEEE Nuclear Science Symposium Conference Record (NSS/MIC 2009)
Source Genre: Proceedings
 Creator(s):
Yu, P, Editor
Affiliations:
-
Publ. Info: Piscataway, NJ, USA : IEEE
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 2500 - 2502 Identifier: ISBN: 978-1-4244-3962-1