1st Edition

The Radon Transform and Local Tomography

    504 Pages
    by CRC Press

    504 Pages
    by CRC Press

    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.

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

    Biography

    Ramm, Alexander G. | Katsevich, Alex I.