Call number:
MOP 46630 / Mitte
Type of Medium:
Monograph available for loan
Pages:
Seite 1-183, 218-239, 247-281
ISBN:
047189804X
Series Statement:
A Wiley-Interscience publication
Language:
English
Note:
Contents
Chapter 1. Major Fields of Application
[1.1] Introduction
[1.2] Medicine; X-ray Computed Tomography
[1.3] Medicine; Emission Computed Tomography
[1.4] Medicine; Ultrasound CT
[1.5] Astronomy
[1.6] Electron Microscopy
[1.7] Nuclear Magnetic Resonance
[1.8] Optics
[1.9] Stress Analysis, Geophysics, and Other Areas
[1.10] References
Chapter 2. Definition of the Radon Transform
[2.1] Introduction
[2.2] Two Dimensions
[2.3] Three Dimensions
[2.4] Extension to Higher Dimensions
[2.5] Some Important Examples
Chapter 3. Basic Properties
[3.1] Introduction
[3.2] Homogeneity
[3.3] Linearity
[3.4] Transform of a Linear Transformation
[3.5] Shifting Property
[3.6] Transform of Derivatives
[3.7] Transforms Involving Hermite Polynomials
[3.8] Transforms Involving Laguerre Polynomials
[3.9] Derivatives of the Transform
[3.10] Transform of Convolution
Chapter 4. Relation to Other Transforms
[4.1] Introduction
[4.2] Relation to the Fourier Transform
[4.3] Relation to the Gegenbauer Transform
[4.4] Relation to the Hough Transform
Chapter 5. Inversion
[5.1] Introduction
[5.2] Odd Dimension
[5.3] Even Dimension
[5.4] Unification and the Adjoint
[5.5] Fourier Methods
Chapter 6. Recent Development of Inversion Methods
[6.1] Introduction
[6.2] Projection-Slice Theorem
[6.3] Backprojection
[6.4] Backprojection of Filtered Projections
[6.5] Filter of Backprojections
[6.6] Iterative Methods
[6.7] Three-dimensional Methods
[6.8] Categorized References
Chapter 7. Series Methods
[7.1] Introduction
[7.2] Gegenbauer Transform Pair
[7.3] Circular Harmonic Expansion ( n = 2)
[7.4] Spherical Harmonic Expansion (n = 3)
[7.5] A Tchebycheff Transform Pair of the Second Kind
[7.6] Orthogonal Function Expansions on the Unit Disk
[7.7] Orthogonal Function Expansions Over the Entire Plane
[7.8] Other Approaches
Chapter 8. More Properties, Applications, and Generalizations
[8.1] Introduction
[8.2] Characterization of the Transform
[8.3] A Discrete Version
[8.4] Picture Restoration
[8.5] Transformations in Geophysics
[8.6] The Integral Equation of Potential Scattering
[8.7] Partial Differential Equations
[8.8] Generalizations and Other Uses
Appendix A. Translation of Radon's 1917 Paper
Appendix B. Generalized Functions
Appendix C. Special Functions
References
Index
Location:
MOP - must be ordered
Branch Library:
GFZ Library
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