Accelerating X-Ray data collection using pyramid beam ray casting geometries

Image reconstruction from its projections is a necessity in many applications such as medical (CT), security, inspection, and others. This paper extends the 2-D Fan-beam method in to 3-D. The algorithm, called Pyramid Beam (PB), is based upon the parallel reconstruction algorithm in. It allows fast capturing of the scanned data, and in 3-D, the reconstructions are based upon the discrete X-ray transform . The PB geometries are reordered to fit parallel projection geometry. The underlying idea is to use the algorithm in by porting the proposed PB geometries to fit the algorithm in. The complexity of the algorithm is comparable with the 3-D FFT. The results show excellent reconstruction qualities while being simple for practical use.