Abstract
In previous works by the author and colleagues, it was proposed in some tomography problems to convert the fan-shaped projection measurement scheme into a system of parallel rays by deforming reconstructed image. The deformation of the tomogram for each direction of observation will be different, but the one-to-one nature of these deformations allows one to return back to the original coordinate system. Further, this method is generalized to a family of plane curvilinear trajectories that allow one-to-one transitions to parallel rays. For each back projection, the image is modulated by a known function following from the path differential of a given trajectory. Illustrations of the operation of this algorithm are given on examples of parabolic, sinusoidal and fan-beam paths of rays. The applicability of the algorithm in problems of visualization of discontinuities, in problems of ROI-tomography (local tomography) is shown.References
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