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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.