Alexander G. Ramm, Alex I. Katsevich

The Radon Transform and Local Tomography (eBook, PDF)

• Format: PDF

Produktbeschreibung

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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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 512
• Erscheinungstermin: 16. Juli 2020
• Englisch
• ISBN-13: 9781000108620
• Artikelnr.: 59850671

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