Tetrahedron beamcomputed tomography (TBCT) performs volumetric imaging using a stack of fan beams generated by amultiple\r\npixel X-ray source.While the TBCT system was designed to overcome the scatter and detector issues faced by cone beamcomputed\r\ntomography (CBCT), it still suffers the same large cone angle artifacts as CBCT due to the use of approximate reconstruction\r\nalgorithms. It has been shown that iterative reconstruction algorithms are better able to model irregular system geometries and\r\nthat algebraic iterative algorithms in particular have been able to reduce cone artifacts appearing at large cone angles. In this paper,\r\nthe SART algorithm is modified for the use with the different TBCT geometries and is tested using both simulated projection data\r\nand data acquired using the TBCT benchtop system.Themodified SART reconstruction algorithms were able tomitigate the effects\r\nof using data generated at large cone angles and were also able to reconstruct CT images without the introduction of artifacts due\r\nto either the longitudinal or transverse truncation in the data sets. Algebraic iterative reconstruction can be especially useful for\r\ndual-source dual-detector TBCT, wherein the cone angle is the largest in the center of the field of view.
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