The mutual information criterion for SPECT aperture evaluation anddesign
Shao, L.; Hero, A.O.; Rogers, W.L.; Clinthorne, N.H.
Medical Imaging, IEEE Transactions on
Volume 8, Issue 4, Dec 1989 Page(s):322 - 336
Digital Object Identifier 10.1109/42.41485
Summary:An aperture performance criterion for single-photon-emission
computed tomography (SPECT) that is based on the mutual information (MI)
between the source and detector processes is proposed. The MI is a
measure of the reduction in uncertainty of the emitter location, given
the detector data, and it takes account of the inherent tradeoffs
between the effects of sensitivity and resolution on source estimation
accuracy. Specific expressions for the MI are derived for
one-dimensional linear geometries and two-dimensional, parallel-slice,
ring geometries under the assumptions of Poisson emission times, uniform
emission angles, no scattering, and a known lost-count correction
factor. For one-dimensional geometries a necessary and sufficient
condition for an aperture to maximize the mutual information is given.
The MI-optimal apertures are derived for various source distributions
using an iterative maximization procedure. The MI is then numerically
calculated for various ring apertures associated with the parallel-slice
SPRINT II system
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