A slice-by-slice blurring model and kernel evaluation using the Klein-Nishina formula for 3D scatter compensation in parallel and converging beam SPECT
Cy. Bai et al., A slice-by-slice blurring model and kernel evaluation using the Klein-Nishina formula for 3D scatter compensation in parallel and converging beam SPECT, PHYS MED BI, 45(5), 2000, pp. 1275-1307
Converging collimation increases the geometric efficiency for imaging small
organs, such as the heart, but also increases the difficulty of correcting
far the physical effects of attenuation, geometric response and scatter in
SPECT. In this paper, 3D first-order Compton scatter in non-uniform scatte
ring media is modelled by using an efficient slice-by-slice incremental blu
rring technique in both parallel and converging beam SPECT. The scatter pro
jections are generated by first forming an effective scatter source image (
ESSI), then forward-projecting the ESSI. The Compton scatter cross section
described by the Klein-Nishina formula is used to obtain spatial scatter re
sponse functions (SSRFs) of scattering slices which are parallel to the det
ector surface. Two SSRFs of neighbouring scattering slices are used to comp
ute two small orthogonal 1D blurring kernels used for the incremental blurr
ing from the slice which is further from the detector surface to the slice
which is closer to the detector surface. First-order Compton scatter point
response functions (SPRFs) obtained using the proposed model agree well wit
h those of Monte Carlo (MC) simulations for both parallel and fan beam SPEC
T. Image reconstruction in fan beam SPECT MC simulation studies shows incre
ased left ventricle myocardium-to-chamber contrast (LV contrast) and slight
ly improved image resolution when performing scatter compensation using the
proposed model. Physical torso phantom fan beam SPECT experiments show inc
reased myocardial uniformity and image resolution as well as increased LV c
ontrast. The proposed method efficiently models the 3D first-order Compton
scatter effect in parallel and converging beam SPECT.