Lx. Shao et al., PRACTICAL CONSIDERATIONS OF THE WIENER FILTERING TECHNIQUE ON PROJECTION DATA FOR PET, IEEE transactions on nuclear science, 41(4), 1994, pp. 1560-1565
Wiener filtering (WF) attempts to recover a blurred object by incorpor
ating the system modulation transfer function (MTF) and its noise char
acteristics. Although it has been widely studied in SPECT, few studies
have been reported in PET. In this investigation, first, we discuss s
ome factors in PET which affect the Poisson nature of the noise on dat
a, such as the axial normalization, detector efficiency correction and
randoms correction. Then we propose a modified WF which compensates f
or the above factors. The modified WF provides a more accurate noise e
stimation method and a simple way to optimize the filter performance.
Finally we apply the modified WF to projection data of the volumetric
UGM PENN-PET 240H scanner in both transaxial and axial directions. A c
old-hot sphere phantom and 3D brain phantom are used for evaluation. T
he modified WF is compared to the conventional WFs. Our results indica
te that 1) the conventional WFs may overestimate the noise power spect
rum; 2) although the WFs are sensitive to the image statistics their o
verall performances are still quantitatively much better than without
any restoration filtering; 3) in general, filtering in both axial and
transaxial directions is better than the transaxial filtering only, bu
t its superiority is more obvious when applied to scans with low image
statistics; 4) In general, the Wiener filtering improves the PET imag
e contrast and count recovery.