Filtered Back-Projection in$4pi$Compton Imaging With a Single 3D Position Sensitive CdZnTe Detector

The Compton scattering camera can provide higher detection efficiency since the use of a mechanical collimator is not required. Several image reconstruction algorithms for Compton scattering cameras, such as maximum likelihood method and ART, can provide good imaging performance but are indirect and computational intensive. A direct reconstruction algorithm, such as filtered back-projection, is preferable if computational time is critical. Parra proposed an analytical inversion algorithm from cone-beam projections for Compton scattering cameras with a complete data set. In reality, a Compton camera is always limited by its configuration and can only provide an incomplete data set with a finite range of scattering angles. In this paper, we investigate a filtered back-projection algorithm applied to single 3-dimensional position sensitive CdZnTe detectors