This book serves as an introduction to the basic properties of the Radon transform. It presents a theory that deals with the study of the singularities of the Radon transform and its applications to the imaging in tomography, in a self-contained and systematic way.

Radon Transform and Local Tomography presents new theories and computational methods that cannot be found in any other book. New material, aimed at solving important problems in tomographic imaging and image processing in general, as well as detailed descriptions of the new algorithms and the results of their testing, are expertly covered. The theory described in this book solves the important problem of finding discontinuities of function from its tomographic data. A detailed theoretical analysis and three different solutions to this problem are given, as well as algorithms for practical solutions and examples of applications for both simulated and real-life data.