The emerging technology of positron emission image reconstruction is introd
uced in this paper as a multicriteria optimization problem. We show how sel
ected families of objective functions may be used to reconstruct positron e
mission images. We develop a novel neural network approach to positron emis
sion imaging problems. We also studied the most frequently used Image recon
struction methods, namely, maximum likelihood under the framework of single
performance criterion optimization. Finally, we Introduced some of the res
ults obtained by various reconstruction algorithms using computer-generated
noisy projection data from a chest phantom and real positron emission tomo
graphy (PET) scanner data. Comparison of the reconstructed images indicated
that the multicriteria optimization method gave the best in error, smoothn
ess (suppression of noise), gray value resolution, and ghost-free images. (
C) 2001 John Wiley & Sons, Inc.