Introduction



In computerized x-ray tomography a three - dimensional object is being considered usually as a set of thin cuts and the two-dimensional Radon inversion formula are used for reconstruction of the density function :
2D common scheme
But for analysis of some objects another scheme is more natural, when an x-ray source moves along a three-dimensional curve :
3D common scheme
The mathematic problem is stated as a task to reconstuct the function of three variables from integrals along the straight lines crossing the given curve. This problem is solved for different classes of functions and types of curves: [1], [2], [3],[4],[5],[7],[8],[10],[14], and [16].
Intensive Studies are carried out nowadays. They are aimed at creation of constructive methods for solving such problems and development of apprioriatate algorithms: [11], [15], [18], [19].
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