Basic Methods of Tomography and Inverse Problems: A Set of Lectures |
Contents
Background from Mathematical Analysis | 21 |
The Radon Transform in the Space of Distributions with Compact | 69 |
Use of A Priori Knowledge | 103 |
Copyright | |
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Common terms and phrases
algorithm backprojection backpropagation bistatic far-field image chapter compact support compare fig components computed computerized tomography continuous convergence convex convolution corresponding defined denotes derive differential diffraction tomography diversity bistatic far-field domain backpropagation eigenvalues Ewald-sphere far-field inverse scattering filtered backpropagation finite formula Fourier space Fourier transform frequency diversity Frequency diversity bistatic Green's function harmonic Hence Hilbert space holographic holographic image IEEE Trans image of rigid integral equation inverse problem inverse scattering problem K-space kernel Lemma mapping mathematical measurement surface method mode monostatic far-field norm obtain orthogonal parameters physical optics planar plane wave projection propagation Radon transform Rayleigh-Sommerfeld reconstruction result satisfy scalar scattered field secondary sources sequence solution spatial Fourier spectral function spectrum subset tempered distribution threedimensional tion vector wave equation wavefields weak scatterer yields zero