[PDF] Basis Methods Of Tomography And Inverse Problems eBook

Author : Gabor T. Herman
Publisher : CRC Press
Page : 671 pages
File Size : 19,46 MB
Release : 1987-01-01
Category : Mathematics
ISBN : 9780852744758

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This book is based on lectures given to graduate students of physics & applied mathematics & engineers at a numerical analysis Summer School on inverse problems sponsored by the French Atomic Energy Commission, Electricite de France & the National Resarch Institute for Computer Science & Automation. The material covered is tutorial & aimed at explaining the basic mathematical methods with reference to applications in optics, medical sciences, geophysics, astronomy, radar acoustics, NDT, communications & signal processing.

Author : M. Bertero
Publisher : CRC Press
Page : 366 pages
File Size : 46,56 MB
Release : 2020-08-30
Category : Technology & Engineering
ISBN : 9781439822067

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This is a graduate textbook on the principles of linear inverse problems, methods of their approximate solution, and practical application in imaging. The level of mathematical treatment is kept as low as possible to make the book suitable for a wide range of readers from different backgrounds in science and engineering. Mathematical prerequisites are first courses in analysis, geometry, linear algebra, probability theory, and Fourier analysis. The authors concentrate on presenting easily implementable and fast solution algorithms. With examples and exercises throughout, the book will provide the reader with the appropriate background for a clear understanding of the essence of inverse problems (ill-posedness and its cure) and, consequently, for an intelligent assessment of the rapidly growing literature on these problems.

Author : John Lenihan
Publisher : CRC Press
Page : 688 pages
File Size : 42,60 MB
Release : 1987-01-01
Category :
ISBN : 9780852742853

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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.

Author : E. R. Pike
Publisher : Academic Press
Page : 985 pages
File Size : 47,78 MB
Release : 2002
Category : Science
ISBN : 0126137609

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Part 1: SCATTERING OF WAVES BY MACROSCOPIC TARGET -- Interdisciplinary aspects of wave scattering -- Acoustic scattering -- Acoustic scattering: approximate methods -- Electromagnetic wave scattering: theory -- Electromagnetic wave scattering: approximate and numerical methods -- Electromagnetic wave scattering: applications -- Elastodynamic wave scattering: theory -- Elastodynamic wave scattering: Applications -- Scattering in Oceans -- Part 2: SCATTERING IN MICROSCOPIC PHYSICS AND CHEMICAL PHYSICS -- Introduction to direct potential scattering -- Introduction to Inverse Potential Scattering -- Visible and Near-visible Light Scattering -- Practical Aspects of Visible and Near-visible Light Scattering -- Nonlinear Light Scattering -- Atomic and Molecular Scattering: Introduction to Scattering in Chemical -- X-ray Scattering -- Neutron Scattering -- Electron Diffraction and Scattering -- Part 3: SCATTERING IN NUCLEAR PHYSICS -- Nuclear Physics -- Part 4: PARTICLE SCATTERING -- State of the Art of Peturbative Methods -- Scattering Through Electro-weak Interactions (the Fermi Scale) -- Scattering Through Strong Interactions (the Hadronic or QCD Scale) -- Part 5: SCATTERING AT EXTREME PHYSICAL SCALES -- Scattering at Extreme Physical Scales -- Part 6: SCATTERING IN MATHEMATICS AND NON-PHYSICAL SCIENCES -- Relations with Other Mathematical Theories -- Inverse Scattering Transform and Non-linear Partial Differenttial Equations -- Scattering of Mathematical Objects.

Author : Mikhail M. Lavrent'ev
Publisher : Walter de Gruyter GmbH & Co KG
Page : 136 pages
File Size : 49,94 MB
Release : 2014-07-24
Category : Mathematics
ISBN : 3110940930

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Comparatively weakly researched untraditional tomography problems are solved because of new achievements in calculation mathematics and the theory of ill-posed problems, the regularization process of solving ill-posed problems, and the increase of stability. Experiments show possibilities and applicability of algorithms of processing tomography data. This monograph is devoted to considering these problems in connection with series of ill-posed problems in tomography settings arising from practice.The book includes chapters to the following themes: Mathematical basis of the method of computerized tomography Cone-beam tomography reconstruction Inverse kinematic problem in the tomographic setting

Author : Alexander G. Ramm
Publisher : Springer Science & Business Media
Page : 262 pages
File Size : 24,22 MB
Release : 2013-11-11
Category : Technology & Engineering
ISBN : 1402079753

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Proceedings of Sessions from the First Congress of the International Society for Analysis, Applications, and Computind held in Newark, Delaware, June 2-6, 1997