Regularization Of Inverse Problems

Download Read Online Regularization Of Inverse Problems book
Author: Heinz Werner Engl
Publisher: Springer Science & Business Media
ISBN: 9780792361404
Size: 59.44 MB
Format: PDF, ePub
View: 3265

Regularization Of Inverse Problems by Heinz Werner Engl


Original Title: Regularization Of Inverse Problems

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.

An Introduction To The Mathematical Theory Of Inverse Problems

Download Read Online An Introduction To The Mathematical Theory Of Inverse Problems book
Author: Andreas Kirsch
Publisher: Springer Science & Business Media
ISBN: 9781441984746
Size: 28.98 MB
Format: PDF
View: 519

An Introduction To The Mathematical Theory Of Inverse Problems by Andreas Kirsch


Original Title: An Introduction To The Mathematical Theory Of Inverse Problems

This book introduces the reader to the area of inverse problems. The study of inverse problems is of vital interest to many areas of science and technology such as geophysical exploration, system identification, nondestructive testing and ultrasonic tomography. The aim of this book is twofold: in the first part, the reader is exposed to the basic notions and difficulties encountered with ill-posed problems. Basic properties of regularization methods for linear ill-posed problems are studied by means of several simple analytical and numerical examples. The second part of the book presents two special nonlinear inverse problems in detail - the inverse spectral problem and the inverse scattering problem. The corresponding direct problems are studied with respect to existence, uniqueness and continuous dependence on parameters. Then some theoretical results as well as numerical procedures for the inverse problems are discussed. The choice of material and its presentation in the book are new, thus making it particularly suitable for graduate students. Basic knowledge of real analysis is assumed. In this new edition, the Factorization Method is included as one of the prominent members in this monograph. Since the Factorization Method is particularly simple for the problem of EIT and this field has attracted a lot of attention during the past decade a chapter on EIT has been added in this monograph as Chapter 5 while the chapter on inverse scattering theory is now Chapter 6.The main changes of this second edition compared to the first edition concern only Chapters 5 and 6 and the Appendix A. Chapter 5 introduces the reader to the inverse problem of electrical impedance tomography.

Introduction To Inverse Problems In Imaging

Download Read Online Introduction To Inverse Problems In Imaging book
Author: M. Bertero
Publisher: CRC Press
ISBN: 9781439822067
Size: 56.33 MB
Format: PDF, ePub, Mobi
View: 4742

Introduction To Inverse Problems In Imaging by M. Bertero


Original Title: Introduction To Inverse Problems In Imaging

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 exercised 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.

Inverse Problems In Scattering And Imaging

Download Read Online Inverse Problems In Scattering And Imaging book
Author: Bertero
Publisher: CRC Press
ISBN: 9780750301435
Size: 37.22 MB
Format: PDF, Kindle
View: 1394

Inverse Problems In Scattering And Imaging by Bertero


Original Title: Inverse Problems In Scattering And Imaging

Inverse Problems in Scattering and Imaging is a collection of lectures from a NATO Advanced Research Workshop that integrates the expertise of physicists and mathematicians in different areas with a common interest in inverse problems. Covering a range of subjects from new developments on the applied mathematics/mathematical physics side to many areas of application, the book achieves a blend of research, review, and tutorial contributions. It is of interest to researchers in the areas of applied mathematics and mathematical physics as well as those working in areas where inverse problems can be applied.

Inverse Problems In Vision And 3d Tomography

Download Read Online Inverse Problems In Vision And 3d Tomography book
Author: Ali Mohamad-Djafari
Publisher: John Wiley & Sons
ISBN: 1118600460
Size: 74.76 MB
Format: PDF, ePub
View: 5280

Inverse Problems In Vision And 3d Tomography by Ali Mohamad-Djafari


Original Title: Inverse Problems In Vision And 3d Tomography

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 through the forward problem. This book focuses on imagery and vision problems that can be clearly written in terms of an inverse problem where an estimate for the image and its geometrical attributes (contours and regions) is sought. The chapters of this book use 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 more.

Inverse Problems

Download Read Online Inverse Problems book
Author: C. W. Groetsch
Publisher: Cambridge University Press
ISBN: 9780883857168
Size: 68.32 MB
Format: PDF
View: 7293

Inverse Problems by C. W. Groetsch


Original Title: Inverse Problems

Problem solving in mathematics is often thought of as a one way process. For example: take two numbers and multiply them together. However for each problem there is also an inverse problem which runs in the opposite direction: now take a number and find a pair of factors. Such problems are considerably more important, in mathematics and throughout science, than they might first appear. This book concentrates on these inverse problems and how they can be usefully introduced to undergraduate students. A historical introduction sets the scene and gives a cultural context for what the rest of the book. Chapters dealing with inverse problems in calculus, differential equations and linear algebra then follow and the book concludes with suggestions for further reading. Whatever their own field of expertise, this will be an essential purchase for anyone interested in the teaching of mathematics.

Parameter Estimation And Inverse Problems

Download Read Online Parameter Estimation And Inverse Problems book
Author: Richard C. Aster
Publisher: Academic Press
ISBN: 0123850487
Size: 17.65 MB
Format: PDF, ePub, Mobi
View: 6035

Parameter Estimation And Inverse Problems by Richard C. Aster


Original Title: Parameter Estimation And Inverse Problems

Parameter Estimation and Inverse Problems, 2e provides geoscience students and professionals with answers to common questions like how one can derive a physical model from a finite set of observations containing errors, and how one may determine the quality of such a model. This book takes on these fundamental and challenging problems, introducing students and professionals to the broad range of approaches that lie in the realm of inverse theory. The authors present both the underlying theory and practical algorithms for solving inverse problems. The authors' treatment is appropriate for geoscience graduate students and advanced undergraduates with a basic working knowledge of calculus, linear algebra, and statistics. Parameter Estimation and Inverse Problems, 2e introduces readers to both Classical and Bayesian approaches to linear and nonlinear problems with particular attention paid to computational, mathematical, and statistical issues related to their application to geophysical problems. The textbook includes Appendices covering essential linear algebra, statistics, and notation in the context of the subject. A companion website features computational examples (including all examples contained in the textbook) and useful subroutines using MATLAB. Includes appendices for review of needed concepts in linear, statistics, and vector calculus. Companion website contains comprehensive MATLAB code for all examples, which readers can reproduce, experiment with, and modify. Online instructor's guide helps professors teach, customize exercises, and select homework problems Accessible to students and professionals without a highly specialized mathematical background.

Computational Methods For Applied Inverse Problems

Download Read Online Computational Methods For Applied Inverse Problems book
Author: Yanfei Wang
Publisher: Walter de Gruyter
ISBN: 3110259052
Size: 80.59 MB
Format: PDF, ePub, Docs
View: 5946

Computational Methods For Applied Inverse Problems by Yanfei Wang


Original Title: Computational Methods For Applied Inverse Problems

This monograph reports recent advances of inversion theory and recent developments with practical applications in frontiers of sciences, especially inverse design and novel computational methods for inverse problems. Readers who do research in applied mathematics, engineering, geophysics, biomedicine, image processing, remote sensing, and environmental science will benefit from the contents since the book incorporates a background of using statistical and non-statistical methods, e.g., regularization and optimization techniques for solving practical inverse problems.

Discrete Inverse Problems

Download Read Online Discrete Inverse Problems book
Author: Per Christian Hansen
Publisher: SIAM
ISBN: 089871883X
Size: 47.30 MB
Format: PDF, Docs
View: 6521

Discrete Inverse Problems by Per Christian Hansen


Original Title: Discrete Inverse Problems

This book gives an introduction to the practical treatment of inverse problems by means of numerical methods, with a focus on basic mathematical and computational aspects. To solve inverse problems, we demonstrate that insight about them goes hand in hand with algorithms.

Recent Books :