Abstract:
:The expectation maximization method for maximum likelihood image reconstruction in emission tomography, based on the Poisson distribution of the statistically independent components of the image and measurement vectors, is extended to a maximum aposteriori image reconstruction using a multivariate Gaussian a priori probability distribution of the image vector. The approach is equivalent to a penalized maximum likelihood estimation with a special choice of the penalty function. The expectation maximization method is applied to find the a posteriori probability maximizer. A simple iterative formula is derived for a penalty function that is a weighted sum of the squared deviations of image vector components from their a priori mean values. The method is demonstrated to be superior to pure likelihood maximization, in that the penalty function prevents the occurrence of irregular high amplitude patterns in the image with a large number of iterations (the so-called "checkerboard effect" or "noise artifact").
journal_name
IEEE Trans Med Imagingjournal_title
IEEE transactions on medical imagingauthors
Levitan E,Herman GTdoi
10.1109/TMI.1987.4307826subject
Has Abstractpub_date
1987-01-01 00:00:00pages
185-92issue
3eissn
0278-0062issn
1558-254Xjournal_volume
6pub_type
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