Information analysis of single photon emission computed tomographywith count losses
Hero, A.O.; Shao, L.
Medical Imaging, IEEE Transactions on
Volume 9, Issue 2, Jun 1990 Page(s):117 - 127
Digital Object Identifier 10.1109/42.56336
Summary:An analysis is presented of the information transfer from
emitter-space to detector-space in single photon emission computed
tomography (SPECT) systems. The analysis takes into account the fact
that count loss side information is generally not available at the
detector. Side information corresponds to the number γ-rays lost
deleted due to lack of interaction with the detector data. It is shown
that the information transfer depends on the structure of the likelihood
function of the emitter locations associated with the detector data.
This likelihood function is the average of a set of ideal-detection
likelihood functions, each matched to a particular set of possible
deleted γ-ray paths. A lower bound is derived for the information
gain due to incorporating the count loss side information at the
detector. This is shown to be significant when the mean emission rate is
small or when the γ-ray deletion probability is strongly dependent
on emitter location. Numerical evaluations of the mutual information,
with and without side information, associated with information-optimal
apertures and uniform parallel-hole collimators are presented
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