The Radon Transform and Local Tomography
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
Date de parution : 06-2020
15.6x23.4 cm
Mots-clés :
RADON TRANSFORM; Abel Equation; Tuy's condition; Fourier Slice Theorem; tomographic imaging; Homogeneous Polynomial; Tomographic Data; local tomography; Inversion Formula; Data Set; Mellin Transform; Piecewise Continuous Function; FBP Algorithm; Singular Support; X-ray Transform; Legendre Transform; Discontinuity Surface; Spherical Harmonics Expansion; Pseudodifferential Operators; Jump Magnitude; Test Function Space; X-ray Transmission Tomography; Local Tomography Functions; Grid Step Size; Severe Ill Posedness; Synthetic Aperture Radar Platform; Fan Beam Data; Affine Manifolds