Over the past decade, the field of image processing has made tremendous advances. One type of image processing that is currently of particular interest is "tomographic imaging," a technique for computing the density function of a body, or discontinuity surfaces of this function. Today, tomography is widely used, and has applications in such fields as medicine, engineering, physics, geophysics, and security. The Radon Transform and Local Tomography clearly explains the theoretical, computational, and practical aspects of applied tomography. It includes sufficient background information to make it essentially self-contained for most readers.
IntroductionProperties of the Radon Transform and Inversion FormulasRange Theorems and Reconstruction AlgorithmsSingularities of the Radon TransformLocal TomographyPseudolocal TomographyGeometric TomographyInversion of Incomplete Tomographic DataInversion of Cone-Beam DataRadon Transform of DistributionsAbel-Type Integral EquationMultidimensional Algorithm for Finding Discontinuities of Signals from Noisy Discrete DataTest of Randomness and Its ApplicationsAuxiliary ResultsResearch ProblemsBibliographical NotesReferencesIndexList of Notations