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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. Proceedings of the IEEE Nuclear Science Symposium Conference Record (NSS/MIC 2009), 2500-2502.

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Sra, S1, Autor           
Kim D, Dhillon, I, Autor
Schölkopf, B1, Autor           
Yu, B., Herausgeber
Affiliations:
1Department Empirical Inference, Max Planck Institute for Biological Cybernetics, Max Planck Society, ou_1497795              

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 Zusammenfassung: 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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 Datum: 2009-10
 Publikationsstatus: Erschienen
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 Identifikatoren: URI: http://www.nss-mic.org/2009/NSSMain.asp
DOI: 10.1109/NSSMIC.2009.5402060
BibTex Citekey: 5958
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Titel: IEEE Nuclear Science Symposium Conference Record
Veranstaltungsort: Orlando, FL, USA
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Titel: Proceedings of the IEEE Nuclear Science Symposium Conference Record (NSS/MIC 2009)
Genre der Quelle: Zeitschrift
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Affiliations:
Ort, Verlag, Ausgabe: Piscataway, NJ, USA : IEEE
Seiten: - Band / Heft: - Artikelnummer: - Start- / Endseite: 2500 - 2502 Identifikator: -