Alexander G. Ramm, Alex I. Katsevich

The Radon Transform and Local Tomography (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 512
• Erscheinungstermin: 16. Juli 2020
• Englisch
• ISBN-13: 9781000151770
• Artikelnr.: 59851113

Autorenporträt

Ramm, Alexander G. Katsevich, Alex I.

Inhaltsangabe

Summary of the Contents:
1. Introduction
2. Properties of the Radon Transform and Inversion Formulas
3. Range Theorems and Reconstruction Algorithms
4. Singularities of the Radon Transform
5. Local Tomography
6. Pseudolocal Tomography
7. Geometrical Tomography
8. Inversion of Incomplete Tomographic Data
9. Inversion of Cone-beam Data
10. Radon Transform of Distributions
11. Abel-type Integral Equation
12. Multidimensional Algorithm for Finding Discontinuities of Signals from Noisy Discrete Data
13. Test of Randomness and its Applications
14. Auxiliary Results

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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