The Radon Transform and Local Tomography / Edition 1

by Alexander G. Ramm, Alex I. Katsevich

Overview

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.

Product Details

ISBN-13:	9780849394928
Publisher:	Taylor & Francis
Publication date:	02/06/1996
Pages:	504
Product dimensions:	6.12(w) x 9.19(h) x (d)

About the Author

Ramm, Alexander G.; Katsevich, Alex I.

Table of Contents

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

Editorial Reviews

Presents new theories and computational methods aimed at solving problems in tomographic imaging and image processing in general, especially the problem of finding discontinuities of function from tomographic data, and describes the new algorithms and the results of their testing. Offers new results related to helical tomography; inversion of incomplete tomographic data; and inversion of cone-beam data, and contains examples of applications for both simulated and real-life data, plus research problems. For graduate students, researchers, engineers, physicists, and radiologists dealing with processing tomographic data. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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