[PDF] Basic Methods Of Tomography And Inverse Problems eBook

Author : Gabor T. Herman
Publisher : CRC Press
Page : 671 pages
File Size : 11,36 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 : 21,35 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 : 49,62 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 : Jin Keun Seo
Publisher : John Wiley & Sons
Page : 379 pages
File Size : 29,17 MB
Release : 2012-11-16
Category : Technology & Engineering
ISBN : 1118478150

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This book provides researchers and engineers in the imaging field with the skills they need to effectively deal with nonlinear inverse problems associated with different imaging modalities, including impedance imaging, optical tomography, elastography, and electrical source imaging. Focusing on numerically implementable methods, the book bridges the gap between theory and applications, helping readers tackle problems in applied mathematics and engineering. Complete, self-contained coverage includes basic concepts, models, computational methods, numerical simulations, examples, and case studies. Provides a step-by-step progressive treatment of topics for ease of understanding. Discusses the underlying physical phenomena as well as implementation details of image reconstruction algorithms as prerequisites for finding solutions to non linear inverse problems with practical significance and value. Includes end of chapter problems, case studies and examples with solutions throughout the book. Companion website will provide further examples and solutions, experimental data sets, open problems, teaching material such as PowerPoint slides and software including MATLAB m files. Essential reading for Graduate students and researchers in imaging science working across the areas of applied mathematics, biomedical engineering, and electrical engineering and specifically those involved in nonlinear imaging techniques, impedance imaging, optical tomography, elastography, and electrical source imaging

Author : Mathias Richter
Publisher : Birkhäuser
Page : 248 pages
File Size : 33,11 MB
Release : 2016-11-24
Category : Mathematics
ISBN : 3319483846

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The overall goal of the book is to provide access to the regularized solution of inverse problems relevant in geophysics without requiring more mathematical knowledge than is taught in undergraduate math courses for scientists and engineers. From abstract analysis only the concept of functions as vectors is needed. Function spaces are introduced informally in the course of the text, when needed. Additionally, a more detailed, but still condensed introduction is given in Appendix B. A second goal is to elaborate the single steps to be taken when solving an inverse problem: discretization, regularization and practical solution of the regularized optimization problem. These steps are shown in detail for model problems from the fields of inverse gravimetry and seismic tomography. The intended audience is mathematicians, physicists and engineers having a good working knowledge of linear algebra and analysis at the upper undergraduate level.

Author : Alexander G. Ramm
Publisher : Springer Science & Business Media
Page : 262 pages
File Size : 41,36 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

Author : Ali Mohamad-Djafari
Publisher : John Wiley & Sons
Page : 369 pages
File Size : 36,93 MB
Release : 2013-01-29
Category : Technology & Engineering
ISBN : 1118600460

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The concept of an inverse problem is a familiar one to most scientists and engineers, particularly in the field of signal and image processing, imaging systems (medical, geophysical, industrial non-destructive testing, etc.), and computer vision. In imaging systems, the aim is not just to estimate unobserved images but also their geometric characteristics from observed quantities that are linked to these unobserved quantities by a known physical or mathematical relationship. In this manner techniques such as image enhancement or addition of hidden detail can be delivered. This book focuses on imaging and vision problems that can be clearly described in terms of an inverse problem where an estimate for the image and its geometrical attributes (contours and regions) is sought. The book uses a consistent methodology to examine inverse problems such as: noise removal; restoration by deconvolution; 2D or 3D reconstruction in X-ray, tomography or microwave imaging; reconstruction of the surface of a 3D object using X-ray tomography or making use of its shading; reconstruction of the surface of a 3D landscape based on several satellite photos; super-resolution; motion estimation in a sequence of images; separation of several images mixed using instruments with different sensitivities or transfer functions; and much more.