A new convergent map reconstruction algorithm for emission tomography using ordered subsets and separable surrogates

Ing Tsung Hsiao; Anand Rangarajan; Gene Gindi

doi:10.1109/ISBI.2002.1029281

A new convergent map reconstruction algorithm for emission tomography using ordered subsets and separable surrogates

Ing Tsung Hsiao
, Anand Rangarajan
, Gene Gindi

醫學影像暨放射科學系(含學碩博士班)

University of Florida
Stony Brook University

研究成果: 圖書/報告稿件的類型 › 會議稿件 › 同行評審

30 引文斯高帕斯（Scopus）

摘要

We investigate a new, fast and provably convergent MAP reconstruction algorithm for emission tomography. The new algorithm, termed C-OSEM has its origin in the alternating algorithm derivation of the weil known EM algorithm for emission tomography. In this re-derivation, the complete data explicitly enters the objective function as an unknown variable. While the entire complete data gets updated in each iteration of EM, in C-OSEM the complete data is updated only along ordered subsets. C-OSEM has a straightforward extension to the MAP case especially when using convex, smoothing priors. Unlike RAMLA and BSREM, C-OSEM does not require relaxation parameters to be set at each iteration. We derive the MAP C-OSEM algorithm using the separable surrogate method and anecdotally compare performance with MAP EM and BSREM.

原文	英語
主出版物標題	2002 IEEE International Symposium on Biomedical Imaging, ISBI 2002 - Proceedings
發行者	IEEE Computer Society
頁面	409-412
頁數	4
ISBN（電子）	078037584X
DOIs	https://doi.org/10.1109/ISBI.2002.1029281
出版狀態	已出版 - 2002
事件	IEEE International Symposium on Biomedical Imaging, ISBI 2002 - Washington, 美國持續時間: 07 07 2002 → 10 07 2002

出版系列

名字	Proceedings - International Symposium on Biomedical Imaging
卷	2002-January
ISSN（列印）	1945-7928
ISSN（電子）	1945-8452

Conference

Conference	IEEE International Symposium on Biomedical Imaging, ISBI 2002
國家/地區	美國
城市	Washington
期間	07/07/02 → 10/07/02

文獻附註

Publisher Copyright:
© 2002 IEEE.

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10.1109/ISBI.2002.1029281

其它文件與鏈接

Link to publication in Scopus

引用此

Hsiao, I. T., Rangarajan, A., & Gindi, G. (2002). A new convergent map reconstruction algorithm for emission tomography using ordered subsets and separable surrogates. 於 2002 IEEE International Symposium on Biomedical Imaging, ISBI 2002 - Proceedings (頁 409-412). 文章 1029281 (Proceedings - International Symposium on Biomedical Imaging; 卷 2002-January). IEEE Computer Society. https://doi.org/10.1109/ISBI.2002.1029281

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title = "A new convergent map reconstruction algorithm for emission tomography using ordered subsets and separable surrogates",

abstract = "We investigate a new, fast and provably convergent MAP reconstruction algorithm for emission tomography. The new algorithm, termed C-OSEM has its origin in the alternating algorithm derivation of the weil known EM algorithm for emission tomography. In this re-derivation, the complete data explicitly enters the objective function as an unknown variable. While the entire complete data gets updated in each iteration of EM, in C-OSEM the complete data is updated only along ordered subsets. C-OSEM has a straightforward extension to the MAP case especially when using convex, smoothing priors. Unlike RAMLA and BSREM, C-OSEM does not require relaxation parameters to be set at each iteration. We derive the MAP C-OSEM algorithm using the separable surrogate method and anecdotally compare performance with MAP EM and BSREM.",

author = "Hsiao, \{Ing Tsung\} and Anand Rangarajan and Gene Gindi",

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year = "2002",

doi = "10.1109/ISBI.2002.1029281",

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Hsiao, IT, Rangarajan, A & Gindi, G 2002, A new convergent map reconstruction algorithm for emission tomography using ordered subsets and separable surrogates. 於 2002 IEEE International Symposium on Biomedical Imaging, ISBI 2002 - Proceedings., 1029281, Proceedings - International Symposium on Biomedical Imaging, 卷 2002-January, IEEE Computer Society, 頁 409-412, IEEE International Symposium on Biomedical Imaging, ISBI 2002, Washington, 美國, 07/07/02. https://doi.org/10.1109/ISBI.2002.1029281

A new convergent map reconstruction algorithm for emission tomography using ordered subsets and separable surrogates. / Hsiao, Ing Tsung; Rangarajan, Anand; Gindi, Gene.
2002 IEEE International Symposium on Biomedical Imaging, ISBI 2002 - Proceedings. IEEE Computer Society, 2002. p. 409-412 1029281 (Proceedings - International Symposium on Biomedical Imaging; 卷 2002-January).

研究成果: 圖書/報告稿件的類型 › 會議稿件 › 同行評審

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T1 - A new convergent map reconstruction algorithm for emission tomography using ordered subsets and separable surrogates

AU - Hsiao, Ing Tsung

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AU - Gindi, Gene

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N2 - We investigate a new, fast and provably convergent MAP reconstruction algorithm for emission tomography. The new algorithm, termed C-OSEM has its origin in the alternating algorithm derivation of the weil known EM algorithm for emission tomography. In this re-derivation, the complete data explicitly enters the objective function as an unknown variable. While the entire complete data gets updated in each iteration of EM, in C-OSEM the complete data is updated only along ordered subsets. C-OSEM has a straightforward extension to the MAP case especially when using convex, smoothing priors. Unlike RAMLA and BSREM, C-OSEM does not require relaxation parameters to be set at each iteration. We derive the MAP C-OSEM algorithm using the separable surrogate method and anecdotally compare performance with MAP EM and BSREM.

AB - We investigate a new, fast and provably convergent MAP reconstruction algorithm for emission tomography. The new algorithm, termed C-OSEM has its origin in the alternating algorithm derivation of the weil known EM algorithm for emission tomography. In this re-derivation, the complete data explicitly enters the objective function as an unknown variable. While the entire complete data gets updated in each iteration of EM, in C-OSEM the complete data is updated only along ordered subsets. C-OSEM has a straightforward extension to the MAP case especially when using convex, smoothing priors. Unlike RAMLA and BSREM, C-OSEM does not require relaxation parameters to be set at each iteration. We derive the MAP C-OSEM algorithm using the separable surrogate method and anecdotally compare performance with MAP EM and BSREM.

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T3 - Proceedings - International Symposium on Biomedical Imaging

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BT - 2002 IEEE International Symposium on Biomedical Imaging, ISBI 2002 - Proceedings

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T2 - IEEE International Symposium on Biomedical Imaging, ISBI 2002

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ER -

Hsiao IT, Rangarajan A, Gindi G. A new convergent map reconstruction algorithm for emission tomography using ordered subsets and separable surrogates. 於 2002 IEEE International Symposium on Biomedical Imaging, ISBI 2002 - Proceedings. IEEE Computer Society. 2002. p. 409-412. 1029281. (Proceedings - International Symposium on Biomedical Imaging). doi: 10.1109/ISBI.2002.1029281

A new convergent map reconstruction algorithm for emission tomography using ordered subsets and separable surrogates

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