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The Radon Transform and Local Tomography
ISBN-13:
9781000108620
Veröffentl:
2020
Seiten:
512
Autor:
Alexander G. Ramm
eBook Typ:
PDF
eBook Format:
EPUB
Kopierschutz:
0 - No protection
Sprache:
Englisch
Beschreibung:
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.
IntroductionProperties of the Radon Transform and Inversion FormulasRange Theorems and Reconstruction AlgorithmsSingularities of the Radon TransformLocal TomographyPseudolocal TomographyGeometric TomographyInversion of Incomplete Tomographic DataInversion of Cone-Beam DataRadon Transform of DistributionsAbel-Type Integral EquationMultidimensional Algorithm for Finding Discontinuities of Signals from Noisy Discrete DataTest of Randomness and Its ApplicationsAuxiliary ResultsResearch ProblemsBibliographical NotesReferencesIndex List of Notations
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