Inverse Problems In Medical Imaging And Nondestructive Testing
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Inverse Problems In Medical Imaging And Nondestructive Testing
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Author : Heinz W. Engl
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Inverse Problems In Medical Imaging And Nondestructive Testing written by Heinz W. Engl and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Medical categories.
14 contributions present mathematical models for different imaging techniques in medicine and nondestructive testing. The underlying mathematical models are presented in a way that also newcomers in the field have a chance to understand the relation between the special applications and the mathematics needed for successfully treating these problems. The reader gets an insight into a modern field of scientific computing with applications formerly not presented in such form, leading from the basics to actual research activities.
Inverse Problems In Medical Imaging And Nondestructive Testing
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Author : Mathematisches Forschungsinstitut
language : en
Publisher:
Release Date : 1996
Inverse Problems In Medical Imaging And Nondestructive Testing written by Mathematisches Forschungsinstitut and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Inverse Problems In Medical Imaging And Nondestructive Testing
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Author :
language : en
Publisher:
Release Date : 1996
Inverse Problems In Medical Imaging And Nondestructive Testing written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Surveys On Solution Methods For Inverse Problems
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Author : David Colton
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Surveys On Solution Methods For Inverse Problems written by David Colton and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Inverse problems are concerned with determining causes for observed or desired effects. Problems of this type appear in many application fields both in science and in engineering. The mathematical modelling of inverse problems usually leads to ill-posed problems, i.e., problems where solutions need not exist, need not be unique or may depend discontinuously on the data. For this reason, numerical methods for solving inverse problems are especially difficult, special methods have to be developed which are known under the term "regularization methods". This volume contains twelve survey papers about solution methods for inverse and ill-posed problems and about their application to specific types of inverse problems, e.g., in scattering theory, in tomography and medical applications, in geophysics and in image processing. The papers have been written by leading experts in the field and provide an up-to-date account of solution methods for inverse problems.
The Factorization Method For Inverse Problems
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Author : Andreas Kirsch
language : en
Publisher: OUP Oxford
Release Date : 2007-12-13
The Factorization Method For Inverse Problems written by Andreas Kirsch and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-13 with Mathematics categories.
The factorization method is a relatively new method for solving certain types of inverse scattering problems and problems in tomography. Aimed at students and researchers in Applied Mathematics, Physics and Engineering, this text introduces the reader to this promising approach for solving important classes of inverse problems. The wide applicability of this method is discussed by choosing typical examples, such as inverse scattering problems for the scalar Helmholtz equation, a scattering problem for Maxwell's equation, and a problem in impedance and optical tomography. The last section of the book compares the Factorization Method to established sampling methods (the Linear Sampling Method, the Singular Source Method, and the Probe Method).
Inverse Problems Tomography And Image Processing
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Author : Alexander G. Ramm
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Inverse Problems Tomography And Image Processing written by Alexander G. Ramm and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Technology & Engineering categories.
Proceedings of Sessions from the First Congress of the International Society for Analysis, Applications, and Computind held in Newark, Delaware, June 2-6, 1997
Regularization Of Inverse Problems
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Author : Heinz Werner Engl
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-03-31
Regularization Of Inverse Problems written by Heinz Werner Engl and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-03-31 with Mathematics categories.
This book is devoted to the mathematical theory of regularization methods and gives an account of the currently available results about regularization methods for linear and nonlinear ill-posed problems. Both continuous and iterative regularization methods are considered in detail with special emphasis on the development of parameter choice and stopping rules which lead to optimal convergence rates.
The Radon Transform And Medical Imaging
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Author : Peter Kuchment
language : en
Publisher: SIAM
Release Date : 2014-03-20
The Radon Transform And Medical Imaging written by Peter Kuchment and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-20 with Computers categories.
This book surveys the main mathematical ideas and techniques behind some well-established imaging modalities such as X-ray CT and emission tomography, as well as a variety of newly developing coupled-physics or hybrid techniques, including thermoacoustic tomography. The Radon Transform and Medical Imaging emphasizes mathematical techniques and ideas arising across the spectrum of medical imaging modalities and explains important concepts concerning inversion, stability, incomplete data effects, the role of interior information, and other issues critical to all medical imaging methods. For nonexperts, the author provides appendices that cover background information on notation, Fourier analysis, geometric rays, and linear operators. The vast bibliography, with over 825 entries, directs readers to a wide array of additional information sources on medical imaging for further study.
Ultrasonic Nondestructive Testing Of Materials
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Author : Karl-Jörg Langenberg
language : en
Publisher: CRC Press
Release Date : 2012-02-22
Ultrasonic Nondestructive Testing Of Materials written by Karl-Jörg Langenberg and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-22 with Science categories.
This book features a comprehensive discussion of the mathematical foundations of ultrasonic nondestructive testing of materials. The authors include a brief description of the theory of acoustic and electromagnetic fields to underline the similarities and differences with respect to elastodynamics. They also cover vector, elastic plane, and Rayleigh surface waves as well as ultrasonic beams, inverse scattering, and ultrasonic nondestructive imaging. A coordinate-free notation system is used that is easier to understand and navigate than standard index notation.
Inverse Problems And Imaging
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Author : Luis L. Bonilla
language : en
Publisher: Springer
Release Date : 2009-06-19
Inverse Problems And Imaging written by Luis L. Bonilla and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-19 with Mathematics categories.
Nowadays we are facing numerous and important imaging problems: nondestructive testing of materials, monitoring of industrial processes, enhancement of oil production by efficient reservoir characterization, emerging developments in noninvasive imaging techniques for medical purposes - computerized tomography (CT), magnetic resonance imaging (MRI), positron emission tomography (PET), X-ray and ultrasound tomography, etc. In the CIME Summer School on Imaging (Martina Franca, Italy 2002), leading experts in mathematical techniques and applications presented broad and useful introductions for non-experts and practitioners alike to many aspects of this exciting field. The volume contains part of the above lectures completed and updated by additional contributions on other related topics.