Cone-Beam Tomography with Linearly Distorted Source Trajectories

Abstract A major drawback of Katsevich’s exact general cone-beam inversion scheme is the difculty in nding practical algorithms adapted to every novel type of source trajectory. We succeeded to overcome this problem, and can formulate recon-struction algorithms, for trajectories that are related through a linear distortion to an already studied scenario. The introduced theory yields two reconstruction strategies that are in principle independent from the underlying reconstruction algorithm and are either based on data pre- and post-processing or on adjust-ment of ltering directions. Numerical results based on simulated cone-beam data are presented. Index Terms Computed tomography, exact cone-beam recon-struction, linearly distorted source trajectories I