The Radon Transform and Local Tomography  book cover
1st Edition

The Radon Transform and Local Tomography

ISBN 9780367448677
Published June 30, 2020 by CRC Press
512 Pages

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Book Description

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.

Table of Contents

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
List of Notations

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Ramm, Alexander G. | Katsevich, Alex I.