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.
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This book serves as an introduction to the basic properties of the Radon transform. It presents a theory that deals with the study of the singularities of the Radon transform and its applications to the imaging in tomography, in a self-contained and systematic way.
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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
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Produktdetaljer

ISBN
9780367448677
Publisert
2020-06-30
Utgiver
Taylor & Francis Ltd
Vekt
453 gr
Høyde
234 mm
Bredde
156 mm
Aldersnivå
P, 06
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
504

Biografisk notat

Ramm, Alexander G. | Katsevich, Alex I.