Abstract：
:In Soares et al. (2000), the ensemble statistical properties of the rescaled block-iterative expectation-maximization (RBI-EM) reconstruction algorithm and rescaled block-iterative simultaneous multiplicative algebraic reconstruction technique (RBI-SMART) were derived. Included in this analysis were the special cases of RBI-EM, maximum-likelihood EM (ML-EM) and ordered-subset EM (OS-EM), and the special case of RBI-SMART, SMART. Explicit expressions were found for the ensemble mean, covariance matrix, and probability density function of RBI reconstructed images, as a function of iteration number. The theoretical formulations relied on one approximation, namely that the noise in the reconstructed image was small compared to the mean image. In this paper, we evaluate the predictions of the theory by using Monte Carlo methods to calculate the sample statistical properties of each algorithm and then compare the results with the theoretical formulations. In addition, the validity of the approximation will be justified.
journal_name
IEEE Trans Med Imagingjournal_title
IEEE transactions on medical imagingauthors
Soares EJ,Glick SJ,Hoppin JWdoi
10.1109/tmi.2004.836876subject
Has Abstractpub_date
2005-01-01 00:00:00pages
112-21issue
1eissn
0278-0062issn
1558-254Xjournal_volume
24pub_type
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