On the Iterative Image Space Reconstruction Algorthm for ECT
- 1 March 1987
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Medical Imaging
- Vol. 6 (1) , 52-56
- https://doi.org/10.1109/tmi.1987.4307797
Abstract
The ISRA of [1] is shown to be an iterative algorithm that aims to converge to the least-squares estimates of emission densities. Convergence is established in the case where a unique least-squares estimate exists that is, elementwise, strictly positive. It is pointed out that, in terms of asymptotic theory, the resulting estimators are inferior to the maximum likelihood estimators, for which the EM algorithm is a computational procedure. Potential difficulties with the behavior of the ISRA are illustrated using very simple examples.Keywords
This publication has 5 references indexed in Scilit:
- An Iterative Image Space Reconstruction Algorthm Suitable for Volume ECTIEEE Transactions on Medical Imaging, 1986
- A Statistical Model for Positron Emission Tomography: CommentJournal of the American Statistical Association, 1985
- A Statistical Model for Positron Emission TomographyJournal of the American Statistical Association, 1985
- Maximum Likelihood Reconstruction for Emission TomographyIEEE Transactions on Medical Imaging, 1982
- The Numerical Evaluation of the Maximum-Likelihood Estimate of a Subset of Mixture ProportionsSIAM Journal on Applied Mathematics, 1978