Basic methods of tomography and inverse problems
著者
書誌事項
Basic methods of tomography and inverse problems
（Malvern physics series）
A. Hilger, c1987
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注記
Lectures presented at a summer school organized by le Commissariat à l'énergie atomique, l'Electricité de France et l'Institut national de recherche en informatique et automatique, held July 15-26, 1985
Includes bibliographies and index
内容説明・目次
- 巻冊次
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ISBN 9780852742853
内容説明
This book is based on lectures given at a Summer School on inverse problems and their applications, sponsored by CEA (the French Atomic Energy Commission), EDF (Electricite de France) and INRIA (the French National Research Institute for Computer Science and Automation) and held in Breau-Sans-Nappe in July 1985. The lectures are aimed primarily at undergraduate or graduate students and researchers in physics, applied mathematics and engineering who are interested in the fundamental problem of extracting useful information from physical data. The methods described herein are therefore applicable to a multitude of research fields, including medical imaging, astronomy, geophysics, civil engineering, radar sounding and non-destructive testing. In short, this book is a primer for any study in which a large number of parameters are to be extracted from a large number of data.
目次
Image reconstruction from projections - an approach from mathematical analysis (Gabor T Herman and Heang K Tuy): Introduction. Background from mathematical analysis. The radon transform in the space of distributions with compact support. Use of a priori knowledge. Conclusions. Applied Inverse Problems for acoustic, electromagnetic and elastic wave scattering. (Karl J Langenberg): Introduction. Acoustic, electromagnetic and elastic waves. Huygens' principle. Time harmonic plane wave spectra of the homogeneous wave equation. Reconstruction from projections. Rayleigh-Sommerfield-holography. Generalized holography. Coherent superposition of generalised holography experiments. Diffraction tomography. Time domain backpropagation. Monostatic experiments. References. Basic concepts and methods of inverse problems (Pierre C Sabatier): Foundations. Linearized inverse problems. Spectral inverse problems and the Gelfand-Levitan equation. One dimensional inverse scattering problems and the Marchenko equation. Problems and excerises. Appendix - Problems and excercises.
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ISBN 9780852744758
内容説明
Based on lectures given to graduate students and engineers at a numerical analysis summer school on inverse problems sponsored by the French Atomic Energy Commission, Electricite de France and the National Research Institute for Computer Science and Automation. Material covered is tutorial and expla
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