Rd. Badawi et al., ALGORITHMS FOR CALCULATING DETECTOR EFFICIENCY NORMALIZATION COEFFICIENTS FOR TRUE COINCIDENCES IN 3D PET, Physics in medicine and biology, 43(1), 1998, pp. 189-205
Accurate normalization of lines of response in 3D PET is a prerequisit
e for quantitative reconstruction. Most current methods are component
based, calculating a series of geometric and intrinsic detector effici
ency factors. We have reviewed the theory behind several existing algo
rithms for calculating detector efficiency factors in 2D and 3D PET, a
nd have extended them to create a range of new algorithms. Three of th
e algorithms described are 'fully 3D' in that they make use of data fr
om all detector rings for the calculation of the efficiencies of any o
ne line of response. We have assessed the performance of the new and e
xisting methods using simulated and real data, and have demonstrated t
hat the fully 3D algorithms allow the rapid acquisition of crystal eff
iciency normalization data using low-activity sources. Such methods en
able the use of scatter-free scanning line sources or the use of very
short acquisitions of cylindrical sources for routine normalization.