Accelerated iterative reconstruction based on the maximum a posteriori expectation maximization

TitleAccelerated iterative reconstruction based on the maximum a posteriori expectation maximization
Publication TypeConference Paper
Year of Publication1993
AuthorsNoumeir, R., G. E. Mailloux, and R. Lemieux
Conference NameAcoustics, Speech, and Signal Processing, 1993. ICASSP-93., 1993 IEEE International Conference on
Pagination469 -472 vol.5
Date Publishedapr.
Keywordsa posteriori, accelerated MAP algorithm, checkerboard effect, computational complexity, convergence, emission tomography, image reconstruction, iterative image reconstruction, iterative methods, maximum-likelihood expectation-maximization, medical image processing, modified Newton method, savings in computation time
Abstract

It is demonstrated that the ML-EM (maximum-likelihood expectation-maximization) algorithm is a particular case of the modified Newton method whose convergence is proved and can be optimally accelerated by an overrelaxation parameter. In order to overcome the checkerboard effect, this accelerated ML-EM algorithm can be penalized with a Gaussian a priori distribution in the framework of a MAP (maximum a posteriori) approach. The experimental results obtained here indicate that significant savings in computation time may be achieved using the accelerated MAP algorithm

URLhttp://dx.doi.org/10.1109/ICASSP.1993.319849
DOI10.1109/ICASSP.1993.319849

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