The Radon Transform and Local Tomography

Alexander G. Ramm, Alex I. Katsevich (Autoren)

Buch | Softcover

504 Seiten

2020
CRC Press (Verlag)
978-0-367-44867-7 (ISBN)

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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.

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.

Ramm, Alexander G. | Katsevich, Alex I.

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

Erscheinungsdatum	01.07.2020
Verlagsort	London
Sprache	englisch
Maße	156 x 234 mm
Gewicht	453 g
Themenwelt	Informatik ► Grafik / Design ► Digitale Bildverarbeitung
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Naturwissenschaften ► Biologie
	Naturwissenschaften ► Physik / Astronomie ► Angewandte Physik
	Technik ► Elektrotechnik / Energietechnik
	Technik ► Umwelttechnik / Biotechnologie
ISBN-10	0-367-44867-X / 036744867X
ISBN-13	978-0-367-44867-7 / 9780367448677
Zustand	Neuware