Analytic Image Reconstruction Methods in 3D PET

In PET, the removal of the septa results in coincidences between detectors on different axial rings. The resulting LoRs make an oblique angle with the scanner axis. Since the three-dimensional (3D) activity distribution can be reconstructed using only the direct LoRs (i.e. those resulting from LoRs perpendicular to the scanner axis), the oblique projections are not required to reconstruct the activity distribution. However, using them has the potential to reduce the noise in the reconstructed image.

Table 3. Analytical image reconstruction methods for fan-beam geometries.

Steps Curve Detector Flat Detector

Table 3. Analytical image reconstruction methods for fan-beam geometries.

Steps Curve Detector Flat Detector

Multiply measured

rß0(g) = rß(g)D cos g

fß'(g) = rßß(g) Jh

projection by

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