Ta. Riauka et al., EXPERIMENTAL AND NUMERICAL INVESTIGATION OF THE 3D SPECT PHOTON DETECTION KERNEL FOR NONUNIFORM ATTENUATING MEDIA, Physics in medicine and biology, 41(7), 1996, pp. 1167-1189
Experimental tests for non-uniform attenuating media are performed to
validate theoretical expressions for the photon detection kernel, obta
ined from a recently proposed analytical theory of photon propagation
and detection for SPECT. The theoretical multidimensional integral exp
ressions for the photon detection kernel, which are computed numerical
ly, describe the probability that a photon emitted from a given source
voxel will trigger detection of a photon at a particular projection p
ixel. The experiments were performed using a cylindrical water-filled
phantom with large cylindrical air-filled inserts to simulate inhomoge
neity of the medium. A point-like, a short thin cylindrical and a larg
e cylindrical radiation source of Tc-99(m) were placed at various posi
tions within the phantom. The values numerically calculated from the t
heoretical kernel expressions are in very good agreement with the expe
rimentally measured data. The significance of Compton-scattered photon
s in planar image formation is discussed and highlighted by these resu
lts. Using both experimental measurements and the calculated values ob
tained from the theory, the kernel's size is investigated. This is don
e by determining the square N x N pixel neighbourhood of the gamma cam
era that must Ix:connected to a particular radiation source voxel to a
ccount for a specific fraction of all counts recorded at all camera pi
xels. It is shown that the kernel's size is primarily dependent upon t
he source position and the properties of the attenuating medium throug
h Compton scattering events, with 3D depth-dependent collimator resolu
tion playing an important but secondary role, at least for imaging sit
uations involving parallel hole collimation. By considering small poin
t-like sources within a non-uniform elliptical phantom, approximating
the human thorax, it is demonstrated that on average a 12 cm x 12 cm a
rea of the camera plane is required to collect 85% of the total count
recorded. This is a significantly larger connectivity than the 3 cm x
3 cm area required if scattering contributions are ignored and only th
e 3D depth-dependent collimator resolution is considered.