Cone-Beam Tomography with Linearly Distorted Source Trajectories

A major drawback of Katsevich´s exact general cone-beam inversion scheme is the difficulty in finding practical algorithms adapted to every novel type of source trajectory. We succeeded to overcome this problem, and can formulate reconstruction 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 adjustment of filtering directions. Numerical results based on simulated cone-beam data are presented.