Exact Image Reconstruction for Translation Based Tomography

New techniques for movable ultra-low-cost x-ray CT scanners are in instant and great needs for military, war areas, developing countries, and rural areas. In previous study, we proposed a novel CT scanning method which is based on the parallel translation of the tube/detectors. In other words, the popular slip ring is replaced by a translation based setup, and the instrumentation cost is reduced by a relaxation of the imaging speed requirement. In this paper, we furthered the exact image reconstruction algorithm for the translation based tomography scheme with two or more linear scans. The mathematical model is analyzed and the numerical simulations are conducted for different scans to validate the feasibility of the proposed scheme.