| Full text | |
| Author(s): |
Helou, Elias Salomao
[1]
;
Censor, Yair
[2]
;
Chen, Tai-Been
[3]
;
Chern, I-Liang
[4, 5]
;
De Pierro, Alvaro Rodolfo
[1]
;
Jiang, Ming
[6]
;
Lu, Henry Horng-Shing
[7]
Total Authors: 7
|
| Affiliation: | [1] State Univ Sao Paulo, Dept Appl Math & Stat, Sao Carlos, SP - Brazil
[2] Univ Haifa, Dept Math, IL-3190501 Haifa - Israel
[3] I Shou Univ, Dept Med Imaging & Radiol Sci, Kaohsiung 82445 - Taiwan
[4] Natl Chiao Tung Univ, Ctr Math Modeling & Sci Comp, Dept Appl Math, Hsinchu 30010 - Taiwan
[5] Natl Taiwan Univ, Dept Math, Taipei 10617 - Taiwan
[6] Peking Univ, Beijing Int Ctr Math Res, Sch Math Sci, LMAM, Beijing 100871 - Peoples R China
[7] Natl Chiao Tung Univ, Inst Stat, Hsinchu 30010 - Taiwan
Total Affiliations: 7
|
| Document type: | Journal article |
| Source: | INVERSE PROBLEMS; v. 30, n. 5 MAY 2014. |
| Web of Science Citations: | 6 |
| Abstract | |
We study the maximum likelihood model in emission tomography and propose a new family of algorithms for its solution, called string-averaging expectation maximization (SAEM). In the string-averaging algorithmic regime, the index set of all underlying equations is split into subsets, called `strings', and the algorithm separately proceeds along each string, possibly in parallel. Then, the end-points of all strings are averaged to form the next iterate. SAEM algorithms with several strings present better practical merits than the classical row-action maximum-likelihood algorithm. We present numerical experiments showing the effectiveness of the algorithmic scheme, using data of image reconstruction problems. Performance is evaluated from the computational cost and reconstruction quality viewpoints. A complete convergence theory is also provided. (AU) | |
| FAPESP's process: | 13/16508-3 - Fast computation of the generalized Backprojection operator with applications in tomographic image reconstruction |
| Grantee: | Elias Salomão Helou Neto |
| Support Opportunities: | Regular Research Grants |