The Radon Transform and Local Tomography

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. <p>Introduction<br>Properties of the Radon Transform and Inversion Formulas<br>Range Theorems and Reconstruction Algorithms<br>Singularities of the Radon Transform<br>Local Tomography<br>Pseudolocal Tomography<br>Geometric Tomography<br>Inversion of Incomplete Tomographic Data<br>Inversion of Cone-Beam Data<br>Radon Transform of Distributions<br>Abel-Type Integral Equation<br>Multidimensional Algorithm for Finding Discontinuities of Signals from Noisy Discrete Data<br>Test of Randomness and Its Applications<br>Auxiliary Results<br>Research Problems<br>Bibliographical Notes<br>References<br>Index <br>List of Notations</p>