The Radon Transform and Local Tomography

ISBN-13: 9780367448677 / Angielski / Miękka / 2020 / 512 str.

Alexander G. Ramm; Alex I. Katsevich

Opis

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.

Spis treści

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

O autorze

Ramm, Alexander G. | Katsevich, Alex I.