Three-dimensional tomography with finite aperture beams

This paper is devoted to some aspects of the synchrotron radiation usage in the three-dimensional transmission tomography. The problem connected with the finite probing beam parameters is in the scope. The new method of the projection matrix construction is suggested for its solving with algebraic methods. The Vainbergʹs method generalization is also considered. The numerical simulations carried out have shown the effectiveness of both the algebraic algorithms and the Vainbergʹs method for the tomography with finite aperture beams.