Backprojected images offer compact and accurate storage of three-dimensiona
l (3-D) positron emission tomography (PET) data and so are potentially very
suited to high-resolution 3-D PET scanners. However, there are very few me
thods available for correcting backprojected images for the effects of scat
ter and random events. Scatter correction methods usually involve experimen
tal measurement of scatter response functions or accurate simulations, and
are thus limited by the accuracy of the model used. In contrast, the approa
ch proposed here uniquely adapts a general form of a combined scatter and r
andom response function. This method inherently does not rely upon accurate
determination of the scatter and random response functions but does, howev
er, rely upon knowledge of the attenuating object's outline. The technique
is able to adapt to different imaging situations and account for detector s
catter, and in particular is readily implemented in backprojection space. T
he method has been implemented for a small-volume HIDAC (II) PET scanner.