B. Xu et al., AN INNOVATIVE METHOD TO COMPENSATE FOR DISTANCE-DEPENDENT BLURRING IN2D SPECT, IEEE transactions on nuclear science, 45(4), 1998, pp. 2245-2252
In the work reported here, we propose a novel perspective for investig
ation of the effect of distance-dependent blurring in 2D SPECT. Based
upon this perspective, we introduce an angular response function that
can be related to the distance-dependent blurring function. By using t
his angular response function, we derive a direct relationship between
the blurred and ideal sinograms that provides the mathematical basis
for the development of innovative methods, which compensate for the ef
fect of distance-dependent blurring in 2D SPECT. We also show that, un
der realistic experimental conditions, the blurred sinogram can be app
roximated as a 1D convolution between the ideal sinogram and a modifie
d angular response function. This 1D convolution relationship suggests
that the ideal sinogram can be estimated from the blurred sinogram by
using various 1D deconvolution methods.