Biomedical Imaging

This brings us to the interesting question of the angular sampling required for 3dRT. Using the same arguments of Nyquist sampling like previously for 2dRT, the necessary number of projections can be estimated to [47]

$N_p\simeq \frac{\text{π}}{\sqrt{3}}{N}_r^2,(4.151)$

where Nr is the number of resolution elements in the reconstruction volume. In contrast to 2dRT, where the number of projections scales linearly with Nr, the relation is quadratic for 3dRT. However, as the 3dRT scheme integrates over planes, more signals are summed up, and the accumulation time per projection in 3dRT can be reduced accordingly. Provided there will be future technical improvements, in particular sufficiently fast motor movement and short detector readout, the total ...