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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

String-averaging expectation-maximization for maximum likelihood estimation in emission tomography

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Autor(es):
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]
Número total de Autores: 7
Afiliação do(s) autor(es):
[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
Número total de Afiliações: 7
Tipo de documento: Artigo Científico
Fonte: INVERSE PROBLEMS; v. 30, n. 5 MAY 2014.
Citações Web of Science: 6
Resumo

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)

Processo FAPESP: 13/16508-3 - Cálculo rápido do operador generalizado de retroprojeção com aplicações em reconstrução tomográfica de imagens
Beneficiário:Elias Salomão Helou Neto
Modalidade de apoio: Auxílio à Pesquisa - Regular