The underlying model and iterative image-reconstruction algorithm, bas
ed on maximum-likelihood estimation, is extended to consider finite x-
ray beam width. Simulations are presented by maximum-likelihood images
compared with filtered-backprojection images. The main conclusion of
this study is that it is feasible to obtain a marked improvement in im
age clarity and reduction of artifacts: (1) There is an improvement in
delineation of the boundaries of low-contrast soft-tissue substructur
es. There is an improvement in the capability of identifying at least
one of the low-contrast soft-tissue substructures. (2) The algorithm i
s capable of reconstructing onto a discrete array of finer resolution,
again with better delineation of substructures than the filtered-back
projection algorithm. (3) Maximum-likelihood images at an atypically l
ow photon flux level are, at the very least, comparable in image quali
ty to filtered-backprojection images at a much higher and more typical
photon flux level. These observations imply that the diagnostic capab
ility of x-ray computed tomography may be improved to a broader range
of otherwise adverse conditions. It may be capable of much better visu
alization of soft-tissue regions that reside near dense regions (such
as bone or metal prostheses), of visualizing finer spatial detail, and
of use with much lower x-ray dosages.