Abstract:
:This article outlines the statistical developments that have taken place in the use of the EM algorithm in emission and transmission tomography during the past decade or so. We discuss the statistical aspects of the modelling of the projection data for both the emission and transmission cases and define the relevant probability models. This leads to the use of the method of maximum likelihood as a means of estimating the relevant unknown parameters within a given region of a patient's body and to the use of the EM algorithm to compute the reconstruction. Various different types of EM algorithm are discussed, including the SAGE algorithms of Fessler and Hero. The limitations of the EM algorithm, per se, are covered and the need for regularization is stressed. A number of different methods for penalizing the likelihood are described and a number of algorithms for the computation of the penalized EM reconstruction are discussed.
journal_name
Stat Methods Med Resjournal_title
Statistical methods in medical researchauthors
Kay Jdoi
10.1177/096228029700600105subject
Has Abstractpub_date
1997-03-01 00:00:00pages
55-75issue
1eissn
0962-2802issn
1477-0334journal_volume
6pub_type
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