Title Statements
- Full title :The radon transform and local tomography / Alexander G. Ramm, Alex I. Katsevich.
Edition Statements
- Publication Date:2020.
Publication Statements
- Publisher(s):CRC Press
- Place of Publication:Boca Raton
- Language:eng
- Publication Date:2020.
The Physical Object
- Description:1 online resource
Edition Identifiers
- ISBN:9781000108620, 1000108627
- oclc:on1191064791
- LC Classification:QA649.R36 1996
- Dewey Decimal:515/.723
Table of Contents
Cover -- Half Title -- Title Page -- Copyright Page -- Dedication -- Preface -- Table of Contents -- Chapter 1: Introduction -- 1.1: Brief Description of New Results and the Aims of the Book -- 1.2: Review of Some Applications of the Radon Transform -- 1.2.1: Applications in Medicine and Non-Destructive Evaluation -- 1.2.2: Applications in Geophysics -- Chapter 2: Properties of the Radon Transform and Inversion Formulas -- 2.1: Definitions and Properties of the Radon Transform and Related Transforms -- 2.1.1: Definition of the Radon Transform -- 2.1.2: Some Generalizations
2.1.3: Simple Properties of the Radon Transform -- 2.1.4: Radon Transform of a Convolution -- 2.1.5: The Fourier Slice Theorem -- 2.1.6: The Adjoint Operator R* -- 2.1.7: Formulas for R*R and RR* -- 2.1.8: Formula for (R*g) * f -- 2.1.9: The Parseval and Plancherel Equalities -- 2.1.10: Integrals Over a Domain -- 2.1.11: Consistency and Moment Conditions -- 2.1.12: The Radon Transform of Spherically Symmetric Functions -- 2.1.13: Concluding Remarks -- 2.2: inversion Formulas for R -- 2.2.1: The First Method -- 2.2.2: The Second Method -- 2.2.3: Inversion in Two- and Threedimensional Spaces
2.2.4: Radon's Origi…
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