Th. Farquhar et al., AN INVESTIGATION OF FILTER CHOICE FOR FILTERED BACK-PROJECTION RECONSTRUCTION IN PET, IEEE transactions on nuclear science, 45(3), 1998, pp. 1133-1137
A key parameter in the practical application of filtered back-projecti
on (FBP), the standard clinical image reconstruction algorithm for pos
itron emission tomography (PET), is the choice of a low-pass filter wi
ndow function and its cut-off frequency. However, the filter windows a
nd cut-off frequencies for clinical reconstruction are usually chosen
empirically, based on a small sample of images and filters. By conside
ring the features of the signal and noise spectra in a sinogram, the d
esired image resolution, and the signal-to-noise ratio (SNR) of the fi
ltered sinogram, a methodology for informed selection of a filter func
tion and cut-off frequency for FBP was investigated. Simulations of si
nogram data similar to whole body or cardiac studies provided informat
ion on the signal and noise frequency-domain spectra of noisy projecti
on data. The improvements in SNR with different filter windows and cut
-off frequencies were evaluated and compared. The projection spectrum
SNR measure did not prove to be an accurate indicator of subjective im
age quality or lesion detectability with variations in Poisson noise a
nd image resolution.