This book is devoted to one of the most interesting applications of mathematical methods in digital image processing. It is computed tomography (CT) or computerized X-tomography, wherein the projection data of the reconstructing image are obtained by means of the roentgen radiation interaction with tissue. The result of the CT is a two-dimensional (2-D) or threedimensional (3-D) image, which represents, with some degree of accuracy, the image through which the rays pass. Our task is to find the solution of the problem of image reconstruction by a finite number of projections. The fundamental principles and main methods of image reconstruction, which include the Fourier slice theorem, methods of summation and filtered backprojection, ...
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