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BT 34.016 516.801 Td /F1 27.0 Tf [(Introduction To Inverse Problems In Imaging)] TJ ET
BT 34.016 465.430 Td /F1 13.5 Tf [(Recognizing the showing off ways to acquire this book )] TJ ET
BT 361.917 465.430 Td /F1 13.5 Tf [(Introduction To Inverse Problems In Imaging)] TJ ET
BT 627.530 465.430 Td /F1 13.5 Tf [( is additionally useful. You )] TJ ET
BT 34.016 448.947 Td /F1 13.5 Tf [(have remained in right site to begin getting this info. get the Introduction To Inverse Problems In Imaging connect that we meet )] TJ ET
BT 34.016 432.463 Td /F1 13.5 Tf [(the expense of here and check out the link. )] TJ ET
BT 34.016 399.780 Td /F1 13.5 Tf [(You could purchase lead Introduction To Inverse Problems In Imaging or get it as soon as feasible. You could quickly download )] TJ ET
BT 34.016 383.296 Td /F1 13.5 Tf [(this Introduction To Inverse Problems In Imaging after getting deal. So, like you require the book swiftly, you can straight acquire )] TJ ET
BT 34.016 366.813 Td /F1 13.5 Tf [(it. Its appropriately no question easy and as a result fats, isnt it? You have to favor to in this ventilate)] TJ ET
BT 34.016 307.129 Td /F1 13.5 Tf [(Introduction to Inverse Problems in Imaging)] TJ ET
BT 294.377 307.129 Td /F1 13.5 Tf [( Mario Bertero 1998 This is a graduate textbook on the principles of linear inverse )] TJ ET
BT 34.016 290.646 Td /F1 13.5 Tf [(problems, methods of their approximate solution, and practical application in imaging. The level of mathematical treatment is )] TJ ET
BT 34.016 274.162 Td /F1 13.5 Tf [(kept as low as possible to make the book suitable for a wide range of readers from different backgrounds in science and )] TJ ET
BT 34.016 257.679 Td /F1 13.5 Tf [(engineering. Mathematical prerequisites are first courses in analysis, geometry, linear algebra, probability theory, and Fourier )] TJ ET
BT 34.016 241.195 Td /F1 13.5 Tf [(analysis. The authors concentrate on presenting easily implementable and fast solution algorithms. With examples and exercised )] TJ ET
BT 34.016 224.712 Td /F1 13.5 Tf [(throughout, the book will provide the reader with the appropriate background for a clear understanding of the essence of inverse )] TJ ET
BT 34.016 208.228 Td /F1 13.5 Tf [(problems \(ill-posedness and its cure\) and, consequently, for an intelligent assessment of the rapidly growing literature on these )] TJ ET
BT 34.016 191.745 Td /F1 13.5 Tf [(problems.)] TJ ET
BT 34.016 175.261 Td /F1 13.5 Tf [(Geophysical Inverse Theory and Regularization Problems)] TJ ET
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34.016 173.034 m 379.143 173.034 l S
BT 379.143 175.261 Td /F1 13.5 Tf [( Michael S. Zhdanov 2002-04-24 This book presents state-of-the-art )] TJ ET
BT 34.016 158.778 Td /F1 13.5 Tf [(geophysical inverse theory developed in modern mathematical terminology. The book brings together fundamental results )] TJ ET
BT 34.016 142.294 Td /F1 13.5 Tf [(developed by the Russian mathematical school in regularization theory and combines them with the related research in )] TJ ET
BT 34.016 125.811 Td /F1 13.5 Tf [(geophysical inversion carried out in the West. It presents a detailed exposition of the methods of regularized solution of inverse )] TJ ET
BT 34.016 109.327 Td /F1 13.5 Tf [(problems based on the ideas of Tikhonov regularization, and shows the different forms of their applications in both linear and )] TJ ET
BT 34.016 92.844 Td /F1 13.5 Tf [(nonlinear methods of geophysical inversion. This text is the first to treat many kinds of inversion and imaging techniques in a )] TJ ET
BT 34.016 76.360 Td /F1 13.5 Tf [(unified mathematical manner. The book is divided in five parts covering the foundations of the inversion theory and its )] TJ ET
BT 34.016 59.877 Td /F1 13.5 Tf [(applications to the solution of different geophysical inverse problems, including potential field, electromagnetic, and seismic )] TJ ET
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BT 34.016 548.077 Td /F1 13.5 Tf [(methods. The first part is an introduction to inversion theory. The second part contains a description of the basic methods of )] TJ ET
BT 34.016 531.594 Td /F1 13.5 Tf [(solution of the linear and nonlinear inverse problems using regularization. The following parts treat the application of )] TJ ET
BT 34.016 515.110 Td /F1 13.5 Tf [(regularization methods in gravity and magnetic, electromagnetic, and seismic inverse problems. The key connecting idea of )] TJ ET
BT 34.016 498.627 Td /F1 13.5 Tf [(these applied parts of the book is the analogy between the solutions of the forward and inverse problems in different geophysical )] TJ ET
BT 34.016 482.143 Td /F1 13.5 Tf [(methods. The book also includes chapters related to the modern technology of geophysical imaging, based on seismic and )] TJ ET
BT 34.016 465.660 Td /F1 13.5 Tf [(electromagnetic migration. This volume is unique in its focus on providing a link between the methods used in gravity, )] TJ ET
BT 34.016 449.176 Td /F1 13.5 Tf [(electromagnetic, and seismic imaging and inversion, and represents an exhaustive treatise on inversion theory.)] TJ ET
BT 34.016 432.693 Td /F1 13.5 Tf [(Inverse Problems in the Mathematical Sciences)] TJ ET
0.27 w 0 J [ ] 0 d
34.016 430.465 m 318.366 430.465 l S
BT 318.366 432.693 Td /F1 13.5 Tf [( Charles W. Groetsch 2013-12-14 Inverse problems are immensely important in )] TJ ET
BT 34.016 416.209 Td /F1 13.5 Tf [(modern science and technology. However, the broad mathematical issues raised by inverse problems receive scant attention in )] TJ ET
BT 34.016 399.726 Td /F1 13.5 Tf [(the university curriculum. This book aims to remedy this state of affairs by supplying an accessible introduction, at a modest )] TJ ET
BT 34.016 383.242 Td /F1 13.5 Tf [(mathematical level, to the alluring field of inverse problems. Many models of inverse problems from science and engineering are )] TJ ET
BT 34.016 366.759 Td /F1 13.5 Tf [(dealt with and nearly a hundred exercises, of varying difficulty, involving mathematical analysis, numerical treatment, or )] TJ ET
BT 34.016 350.275 Td /F1 13.5 Tf [(modelling of inverse problems, are provided. The main themes of the book are: causation problem modeled as integral )] TJ ET
BT 34.016 333.792 Td /F1 13.5 Tf [(equations; model identification problems, posed as coefficient determination problems in differential equations; the functional )] TJ ET
BT 34.016 317.308 Td /F1 13.5 Tf [(analytic framework for inverse problems; and a survey of the principal numerical methods for inverse problems. An extensive )] TJ ET
BT 34.016 300.825 Td /F1 13.5 Tf [(annotated bibliography furnishes leads on the history of inverse problems and a guide to the frontiers of current research.)] TJ ET
BT 34.016 284.341 Td /F1 13.5 Tf [(Introduction to Inverse Problems in Imaging)] TJ ET
0.27 w 0 J [ ] 0 d
34.016 282.114 m 294.377 282.114 l S
BT 294.377 284.341 Td /F1 13.5 Tf [( M. Bertero 2017-07-27 This is a graduate textbook on the principles of linear inverse )] TJ ET
BT 34.016 267.858 Td /F1 13.5 Tf [(problems, methods of their approximate solution, and practical application in imaging. The level of mathematical treatment is )] TJ ET
BT 34.016 251.374 Td /F1 13.5 Tf [(kept as low as possible to make the book suitable for a wide range of readers from different backgrounds in science and )] TJ ET
BT 34.016 234.891 Td /F1 13.5 Tf [(engineering. Mathematical prerequisites are first courses in analysis, geometry, linear algebra, probability theory, and Fourier )] TJ ET
BT 34.016 218.407 Td /F1 13.5 Tf [(analysis. The authors concentrate on presenting easily implementable and fast solution algorithms. With examples and exercised )] TJ ET
BT 34.016 201.924 Td /F1 13.5 Tf [(throughout, the book will provide the reader with the appropriate background for a clear understanding of the essence of inverse )] TJ ET
BT 34.016 185.440 Td /F1 13.5 Tf [(problems \(ill-posedness and its cure\) and, consequently, for an intelligent assessment of the rapidly growing literature on these )] TJ ET
BT 34.016 168.957 Td /F1 13.5 Tf [(problems.)] TJ ET
BT 34.016 152.473 Td /F1 13.5 Tf [(Introduction to Inverse Problems in Imaging)] TJ ET
BT 294.377 152.473 Td /F1 13.5 Tf [( M. Bertero 1998-01-01 This is a graduate textbook on the principles of linear inverse )] TJ ET
BT 34.016 135.990 Td /F1 13.5 Tf [(problems, methods of their approximate solution, and practical application in imaging. The level of mathematical treatment is )] TJ ET
BT 34.016 119.506 Td /F1 13.5 Tf [(kept as low as possible to make the book suitable for a wide range of readers from different backgrounds in science and )] TJ ET
BT 34.016 103.023 Td /F1 13.5 Tf [(engineering. Mathematical prerequisites are first courses in analysis, geometry, linear algebra, probability theory, and Fourier )] TJ ET
BT 34.016 86.539 Td /F1 13.5 Tf [(analysis. The authors concentrate on presenting easily implementable and fast solution algorithms. With examples and exercised )] TJ ET
BT 34.016 70.056 Td /F1 13.5 Tf [(throughout, the book will provide the reader with the appropriate background for a clear understanding of the essence of inverse )] TJ ET
BT 34.016 53.572 Td /F1 13.5 Tf [(problems \(ill-posedness and its cure\) and, consequently, for an intelligent assessment of the rapidly growing literature on these )] TJ ET
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BT 34.016 548.077 Td /F1 13.5 Tf [(problems.)] TJ ET
BT 34.016 531.594 Td /F1 13.5 Tf [(Introduction to the Mathematics of Medical Imaging)] TJ ET
0.27 w 0 J [ ] 0 d
34.016 529.366 m 339.399 529.366 l S
BT 339.399 531.594 Td /F1 13.5 Tf [( Charles L. Epstein 2008-01-01 At the heart of every medical imaging )] TJ ET
BT 34.016 515.110 Td /F1 13.5 Tf [(technology is a sophisticated mathematical model of the measurement process and an algorithm to reconstruct an image from )] TJ ET
BT 34.016 498.627 Td /F1 13.5 Tf [(the measured data. This book provides a firm foundation in the mathematical tools used to model the measurements and derive )] TJ ET
BT 34.016 482.143 Td /F1 13.5 Tf [(the reconstruction algorithms used in most of these modalities. The text uses X-ray computed tomography \(X-ray CT\) as a )] TJ ET
BT 34.016 465.660 Td /F1 13.5 Tf [('pedagogical machine' to illustrate important ideas and its extensive discussion of background material makes the more )] TJ ET
BT 34.016 449.176 Td /F1 13.5 Tf [(advanced mathematical topics accessible to people with a less formal mathematical education. This new edition contains a )] TJ ET
BT 34.016 432.693 Td /F1 13.5 Tf [(chapter on magnetic resonance imaging \(MRI\), a revised section on the relationship between the continuum and discrete Fourier )] TJ ET
BT 34.016 416.209 Td /F1 13.5 Tf [(transforms, an improved description of the gridding method, and new sections on both Grangreat's formula and noise analysis in )] TJ ET
BT 34.016 399.726 Td /F1 13.5 Tf [(MR-imaging. Mathematical concepts are illuminated with over 200 illustrations and numerous exercises.)] TJ ET
BT 34.016 383.242 Td /F1 13.5 Tf [(Inverse Problems and Imaging)] TJ ET
BT 217.089 383.242 Td /F1 13.5 Tf [( Luis L. Bonilla 2009-06-19 Nowadays we are facing numerous and important imaging problems: )] TJ ET
BT 34.016 366.759 Td /F1 13.5 Tf [(nondestructive testing of materials, monitoring of industrial processes, enhancement of oil production by efficient reservoir )] TJ ET
BT 34.016 350.275 Td /F1 13.5 Tf [(characterization, emerging developments in noninvasive imaging techniques for medical purposes - computerized tomography )] TJ ET
BT 34.016 333.792 Td /F1 13.5 Tf [(\(CT\), magnetic resonance imaging \(MRI\), positron emission tomography \(PET\), X-ray and ultrasound tomography, etc. In the )] TJ ET
BT 34.016 317.308 Td /F1 13.5 Tf [(CIME Summer School on Imaging \(Martina Franca, Italy 2002\), leading experts in mathematical techniques and applications )] TJ ET
BT 34.016 300.825 Td /F1 13.5 Tf [(presented broad and useful introductions for non-experts and practitioners alike to many aspects of this exciting field. The )] TJ ET
BT 34.016 284.341 Td /F1 13.5 Tf [(volume contains part of the above lectures completed and updated by additional contributions on other related topics.)] TJ ET
BT 34.016 267.858 Td /F1 13.5 Tf [(Modeling and Inverse Problems in Imaging Analysis)] TJ ET
BT 343.881 267.858 Td /F1 13.5 Tf [( Bernard Chalmond 2003-01-14 More mathematicians have been taking part )] TJ ET
BT 34.016 251.374 Td /F1 13.5 Tf [(in the development of digital image processing as a science and the contributions are reflected in the increasingly important role )] TJ ET
BT 34.016 234.891 Td /F1 13.5 Tf [(modeling has played solving complex problems. This book is mostly concerned with energy-based models. Most of these models )] TJ ET
BT 34.016 218.407 Td /F1 13.5 Tf [(come from industrial projects in which the author was involved in robot vision and radiography: tracking 3D lines, radiographic )] TJ ET
BT 34.016 201.924 Td /F1 13.5 Tf [(image processing, 3D reconstruction and tomography, matching, deformation learning. Numerous graphical illustrations )] TJ ET
BT 34.016 185.440 Td /F1 13.5 Tf [(accompany the text.)] TJ ET
BT 34.016 168.957 Td /F1 13.5 Tf [(Polarization and Moment Tensors)] TJ ET
BT 235.841 168.957 Td /F1 13.5 Tf [( Habib Ammari 2007-06-16 This book presents important recent developments in mathematical )] TJ ET
BT 34.016 152.473 Td /F1 13.5 Tf [(and computational methods used in impedance imaging and the theory of composite materials. By augmenting the theory with )] TJ ET
BT 34.016 135.990 Td /F1 13.5 Tf [(interesting practical examples and numerical illustrations, the exposition brings simplicity to the advanced material. An )] TJ ET
BT 34.016 119.506 Td /F1 13.5 Tf [(introductory chapter covers the necessary basics. An extensive bibliography and open problems at the end of each chapter )] TJ ET
BT 34.016 103.023 Td /F1 13.5 Tf [(enhance the text.)] TJ ET
BT 34.016 86.539 Td /F1 13.5 Tf [(Inverse Problems and Applications)] TJ ET
0.27 w 0 J [ ] 0 d
34.016 84.312 m 241.848 84.312 l S
BT 241.848 86.539 Td /F1 13.5 Tf [( Gunther Uhlmann 2013 Inverse problems lie at the heart of contemporary scientific inquiry )] TJ ET
BT 34.016 70.056 Td /F1 13.5 Tf [(and technological development. Applications include a variety of medical and other imaging techniques, which are used for early )] TJ ET
BT 34.016 53.572 Td /F1 13.5 Tf [(detection of cancer and pulmonary edema, location of oil and mineral deposits in the Earth's interior, creation of astrophysical )] TJ ET
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BT 34.016 548.077 Td /F1 13.5 Tf [(images from telescope data, finding cracks and interfaces within materials, shape optimization, model identification in growth )] TJ ET
BT 34.016 531.594 Td /F1 13.5 Tf [(processes, and modeling in the life sciences among others. The expository survey essays in this book describe recent )] TJ ET
BT 34.016 515.110 Td /F1 13.5 Tf [(developments in inverse problems and imaging, including hybrid or couple-physics methods arising in medical imaging, )] TJ ET
BT 34.016 498.627 Td /F1 13.5 Tf [(Calderon's problem and electrical impedance tomography, inverse problems arising in global seismology and oil exploration, )] TJ ET
BT 34.016 482.143 Td /F1 13.5 Tf [(inverse spectral problems, and the study of asymptotically hyperbolic spaces. It is suitable for graduate students and researchers )] TJ ET
BT 34.016 465.660 Td /F1 13.5 Tf [(interested in inverse problems and their applications.)] TJ ET
BT 34.016 449.176 Td /F1 13.5 Tf [(Introduction to Inverse Problems in Imaging)] TJ ET
BT 294.377 449.176 Td /F1 13.5 Tf [( M. Bertero 2021-12-20 Fully updated throughout and with several new chapters, this )] TJ ET
BT 34.016 432.693 Td /F1 13.5 Tf [(second edition of Introduction to Inverse Problems in Imaging guides advanced undergraduate and graduate students in physics, )] TJ ET
BT 34.016 416.209 Td /F1 13.5 Tf [(computer science, mathematics and engineering through the principles of linear inverse problems, in addition to methods of their )] TJ ET
BT 34.016 399.726 Td /F1 13.5 Tf [(approximate solution and their practical applications in imaging. This second edition contains new chapters on edge-preserving )] TJ ET
BT 34.016 383.242 Td /F1 13.5 Tf [(and sparsity-enforcing regularization in addition to maximum likelihood methods and Bayesian regularization for Poisson data. )] TJ ET
BT 34.016 366.759 Td /F1 13.5 Tf [(The level of mathematical treatment is kept as low as possible to make the book suitable for a wide range of students from )] TJ ET
BT 34.016 350.275 Td /F1 13.5 Tf [(different backgrounds, with readers needing just a rudimentary understanding of analysis, geometry, linear algebra, probability )] TJ ET
BT 34.016 333.792 Td /F1 13.5 Tf [(theory, and Fourier analysis. The authors concentrate on presenting easily implementable and fast solution algorithms, and this )] TJ ET
BT 34.016 317.308 Td /F1 13.5 Tf [(second edition is accompanied by numerical examples throughout. It will provide readers with the appropriate background )] TJ ET
BT 34.016 300.825 Td /F1 13.5 Tf [(needed for a clear understanding of the essence of inverse problems \(ill-posedness and its cure\) and, consequently, for an )] TJ ET
BT 34.016 284.341 Td /F1 13.5 Tf [(intelligent assessment of the rapidly growing literature on these problems. Key features: Provides an accessible introduction to )] TJ ET
BT 34.016 267.858 Td /F1 13.5 Tf [(the topic while keeping mathematics to a minimum Interdisciplinary topic with growing relevance and wide-ranging applications )] TJ ET
BT 34.016 251.374 Td /F1 13.5 Tf [(Accompanied by numerical examples throughout)] TJ ET
BT 34.016 234.891 Td /F1 13.5 Tf [(Parameter Estimation and Inverse Problems)] TJ ET
BT 298.859 234.891 Td /F1 13.5 Tf [( Richard C. Aster 2013 Parameter Estimation and Inverse Problems, Second Edition )] TJ ET
BT 34.016 218.407 Td /F1 13.5 Tf [(provides geoscience students and professionals with answers to common questions like how one can derive a physical model )] TJ ET
BT 34.016 201.924 Td /F1 13.5 Tf [(from a finite set of observations containing errors, and how one may determine the quality of such a model. This book takes on )] TJ ET
BT 34.016 185.440 Td /F1 13.5 Tf [(these fundamental and challenging problems, introducing students and professionals to the broad range of approaches that lie in )] TJ ET
BT 34.016 168.957 Td /F1 13.5 Tf [(the realm of inverse theory. The authors present both the underlying theory and practical algorithms for solving inverse problems. )] TJ ET
BT 34.016 152.473 Td /F1 13.5 Tf [(The authors' treatment is appropriate for geoscience graduate students and advanced undergraduates with a basic working )] TJ ET
BT 34.016 135.990 Td /F1 13.5 Tf [(knowledge of calculus, linear algebra, and statistics. Parameter Estimation and Inverse Problems, Second Edition introduces )] TJ ET
BT 34.016 119.506 Td /F1 13.5 Tf [(readers to both Classical and Bayesian approaches to linear and nonlinear problems with particular attention paid to )] TJ ET
BT 34.016 103.023 Td /F1 13.5 Tf [(computational, mathematical, and statistical issues related to their application to geophysical problems. The textbook includes )] TJ ET
BT 34.016 86.539 Td /F1 13.5 Tf [(Appendices covering essential linear algebra, statistics, and notation in the context of the subject. Includes appendices for review )] TJ ET
BT 34.016 70.056 Td /F1 13.5 Tf [(of needed concepts in linear, statistics, and vector calculus. Accessible to students and professionals without a highly specialized )] TJ ET
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BT 34.016 548.077 Td /F1 13.5 Tf [(mathematical background.)] TJ ET
BT 34.016 531.594 Td /F1 13.5 Tf [(Inverse Methods in Action)] TJ ET
0.27 w 0 J [ ] 0 d
34.016 529.366 m 189.333 529.366 l S
BT 189.333 531.594 Td /F1 13.5 Tf [( Pierre C. Sabatier 2012-12-06 This volume contains the Proceedings of a meeting held at Montpellier )] TJ ET
BT 34.016 515.110 Td /F1 13.5 Tf [(from November 27th to December 1st 1989 and entitled "Inverse Problems Multicen tennials Meeting". It was held in honor of )] TJ ET
BT 34.016 498.627 Td /F1 13.5 Tf [(two major centennials: the foundation of Montpellier University in 1289 and the French Revolution of 1789. The meet ing was )] TJ ET
BT 34.016 482.143 Td /F1 13.5 Tf [(one of a series of annual meetings on interdisciplinary aspects of inverse problems organized in Montpellier since 1972 and )] TJ ET
BT 34.016 465.660 Td /F1 13.5 Tf [(known as "RCP 264". The meeting was sponsored by the Centre National de la Recherche Scientifique \(con tract GR 264\) and )] TJ ET
BT 34.016 449.176 Td /F1 13.5 Tf [(by the Direction des Recherches et Etudes Techniques \(contract 88 CO 283\). The Proceedings are presented by chapters on )] TJ ET
BT 34.016 432.693 Td /F1 13.5 Tf [(different topics, the choice of topic often being arbitrary. The chapter titles are "Tomographic Inverse Problems", "Distributed )] TJ ET
BT 34.016 416.209 Td /F1 13.5 Tf [(Parameters Inverse Problems", "Spectral Inverse Problems \(Exact Methods\)", "Theoretical hnaging", "Wave Propagation and )] TJ ET
BT 34.016 399.726 Td /F1 13.5 Tf [(Scattering Problems \(hnaging and Numerical Methods\)", "Miscellaneous Problems", "Inverse Methods and Applications to )] TJ ET
BT 34.016 383.242 Td /F1 13.5 Tf [(Nonlinear Problems". In each chapter but the first, the papers have been sorted alphabetically according to author*. In the first )] TJ ET
BT 34.016 366.759 Td /F1 13.5 Tf [(chapter, a set of theoretical papers is presented first, then more applied ones. There are so many well-known and excellent )] TJ ET
BT 34.016 350.275 Td /F1 13.5 Tf [(lectures that I will not try to refer to them all here \(the reader will be easily convinced by reading the Table of Contents\). My )] TJ ET
BT 34.016 333.792 Td /F1 13.5 Tf [(comments at the conference are summarized by the short scientific introduction at the beginning of the volume.)] TJ ET
BT 34.016 317.308 Td /F1 13.5 Tf [(Computational Methods for Applied Inverse Problems)] TJ ET
0.27 w 0 J [ ] 0 d
34.016 315.081 m 353.642 315.081 l S
BT 353.642 317.308 Td /F1 13.5 Tf [( Yanfei Wang 2012-10-30 This monograph reports recent advances of )] TJ ET
BT 34.016 300.825 Td /F1 13.5 Tf [(inversion theory and recent developments with practical applications in frontiers of sciences, especially inverse design and novel )] TJ ET
BT 34.016 284.341 Td /F1 13.5 Tf [(computational methods for inverse problems. Readers who do research in applied mathematics, engineering, geophysics, )] TJ ET
BT 34.016 267.858 Td /F1 13.5 Tf [(biomedicine, image processing, remote sensing, and environmental science will benefit from the contents since the book )] TJ ET
BT 34.016 251.374 Td /F1 13.5 Tf [(incorporates a background of using statistical and non-statistical methods, e.g., regularization and optimization techniques for )] TJ ET
BT 34.016 234.891 Td /F1 13.5 Tf [(solving practical inverse problems.)] TJ ET
BT 34.016 218.407 Td /F1 13.5 Tf [(Introduction to Imaging from Scattered Fields)] TJ ET
BT 303.381 218.407 Td /F1 13.5 Tf [( Michael A Fiddy 2014-11-10 Obtain the Best Estimate of a Strongly Scattering )] TJ ET
BT 34.016 201.924 Td /F1 13.5 Tf [(Object from Limited Scattered Field Data Introduction to Imaging from Scattered Fields presents an overview of the challenging )] TJ ET
BT 34.016 185.440 Td /F1 13.5 Tf [(problem of determining information about an object from measurements of the field scattered from that object. It covers widely )] TJ ET
BT 34.016 168.957 Td /F1 13.5 Tf [(used approaches to recover information about the objects and examines the assumptions made a priori about the object and the )] TJ ET
BT 34.016 152.473 Td /F1 13.5 Tf [(consequences of recovering object information from limited numbers of noisy measurements of the scattered fields. The book )] TJ ET
BT 34.016 135.990 Td /F1 13.5 Tf [(explores the strengths and weaknesses of using inverse methods for weak scattering. These methods, including Fourier-based )] TJ ET
BT 34.016 119.506 Td /F1 13.5 Tf [(signal and image processing techniques, allow more straightforward inverse algorithms to be exploited based on a simple )] TJ ET
BT 34.016 103.023 Td /F1 13.5 Tf [(mapping of scattered field data. The authors also discuss their recent approach based on a nonlinear filtering step in the inverse )] TJ ET
BT 34.016 86.539 Td /F1 13.5 Tf [(algorithm. They illustrate how to use this algorithm through numerous two-dimensional electromagnetic scattering examples. )] TJ ET
BT 34.016 70.056 Td /F1 13.5 Tf [(MATLAB® code is provided to help readers quickly apply the approach to a wide variety of inverse scattering problems. In later )] TJ ET
BT 34.016 53.572 Td /F1 13.5 Tf [(chapters of the book, the authors focus on important and often forgotten overarching constraints associated with exploiting )] TJ ET
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BT 34.016 548.077 Td /F1 13.5 Tf [(inverse scattering algorithms. They explain how the number of degrees of freedom associated with any given scattering )] TJ ET
BT 34.016 531.594 Td /F1 13.5 Tf [(experiment can be found and how this allows one to specify a minimum number of data that should be measured. They also )] TJ ET
BT 34.016 515.110 Td /F1 13.5 Tf [(describe how the prior discrete Fourier transform \(PDFT\) algorithm helps in estimating the properties of an object from scattered )] TJ ET
BT 34.016 498.627 Td /F1 13.5 Tf [(field measurements. The PDFT restores stability and improves estimates of the object even with severely limited data \(provided )] TJ ET
BT 34.016 482.143 Td /F1 13.5 Tf [(it is sufficient to meet a criterion based on the number of degrees of freedom\). Suitable for graduate students and researchers )] TJ ET
BT 34.016 465.660 Td /F1 13.5 Tf [(working on medical, geophysical, defense, and industrial inspection inverse problems, this self-contained book provides the )] TJ ET
BT 34.016 449.176 Td /F1 13.5 Tf [(necessary details for readers to design improved experiments and process measured data more effectively. It shows how to )] TJ ET
BT 34.016 432.693 Td /F1 13.5 Tf [(obtain the best estimate of a strongly scattering object from limited scattered field data.)] TJ ET
BT 34.016 416.209 Td /F1 13.5 Tf [(Inverse and Ill-Posed Problems)] TJ ET
BT 221.585 416.209 Td /F1 13.5 Tf [( Heinz W. Engl 2014-05-10 Inverse and Ill-Posed Problems is a collection of papers presented at )] TJ ET
BT 34.016 399.726 Td /F1 13.5 Tf [(a seminar of the same title held in Austria in June 1986. The papers discuss inverse problems in various disciplines; )] TJ ET
BT 34.016 383.242 Td /F1 13.5 Tf [(mathematical solutions of integral equations of the first kind; general considerations for ill-posed problems; and the various )] TJ ET
BT 34.016 366.759 Td /F1 13.5 Tf [(regularization methods for integral and operator equations of the first kind. Other papers deal with applications in tomography, )] TJ ET
BT 34.016 350.275 Td /F1 13.5 Tf [(inverse scattering, detection of radiation sources, optics, partial differential equations, and parameter estimation problems. One )] TJ ET
BT 34.016 333.792 Td /F1 13.5 Tf [(paper discusses three topics on ill-posed problems, namely, the imposition of specified types of discontinuities on solutions of ill-)] TJ ET
BT 34.016 317.308 Td /F1 13.5 Tf [(posed problems, the use of generalized cross validation as a data based termination rule for iterative methods, and also a )] TJ ET
BT 34.016 300.825 Td /F1 13.5 Tf [(parameter estimation problem in reservoir modeling. Another paper investigates a statistical method to determine the truncation )] TJ ET
BT 34.016 284.341 Td /F1 13.5 Tf [(level in Eigen function expansions and for Fredholm equations of the first kind where the data contains some errors. Another )] TJ ET
BT 34.016 267.858 Td /F1 13.5 Tf [(paper examines the use of singular function expansions in the inversion of severely ill-posed problems arising in confocal )] TJ ET
BT 34.016 251.374 Td /F1 13.5 Tf [(scanning microscopy, particle sizing, and velocimetry. The collection can benefit many mathematicians, students, and professor )] TJ ET
BT 34.016 234.891 Td /F1 13.5 Tf [(of calculus, statistics, and advanced mathematics.)] TJ ET
BT 34.016 218.407 Td /F1 13.5 Tf [(Bayesian Approach to Inverse Problems)] TJ ET
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34.016 216.180 m 274.869 216.180 l S
BT 274.869 218.407 Td /F1 13.5 Tf [( Jérôme Idier 2013-03-01 Many scientific, medical or engineering problems raise the )] TJ ET
BT 34.016 201.924 Td /F1 13.5 Tf [(issue ofrecovering some physical quantities from indirect measurements; forinstance, detecting or quantifying flaws or cracks )] TJ ET
BT 34.016 185.440 Td /F1 13.5 Tf [(within amaterial from acoustic or electromagnetic measurements at itssurface is an essential problem of non-destructive )] TJ ET
BT 34.016 168.957 Td /F1 13.5 Tf [(evaluation. Theconcept of inverse problems precisely originates from the idea ofinverting the laws of physics to recover a )] TJ ET
BT 34.016 152.473 Td /F1 13.5 Tf [(quantity of interestfrom measurable data. Unfortunately, most inverse problems are ill-posed, which meansthat precise and )] TJ ET
BT 34.016 135.990 Td /F1 13.5 Tf [(stable solutions are not easy to devise.Regularization is the key concept to solve inverse problems. The goal of this book is to )] TJ ET
BT 34.016 119.506 Td /F1 13.5 Tf [(deal with inverse problems andregularized solutions using the Bayesian statistical tools, with aparticular view to signal and image )] TJ ET
BT 34.016 103.023 Td /F1 13.5 Tf [(estimation. The first three chapters bring the theoretical notions that make itpossible to cast inverse problems within a )] TJ ET
BT 34.016 86.539 Td /F1 13.5 Tf [(mathematical framework.The next three chapters address the fundamental inverse problem ofdeconvolution in a comprehensive )] TJ ET
BT 34.016 70.056 Td /F1 13.5 Tf [(manner. Chapters 7 and 8 deal withadvanced statistical questions linked to image estimation. In thelast five chapters, the main )] TJ ET
BT 34.016 53.572 Td /F1 13.5 Tf [(tools introduced in the previouschapters are put into a practical context in important applicativeareas, such as astronomy or )] TJ ET
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BT 34.016 548.077 Td /F1 13.5 Tf [(medical imaging.)] TJ ET
BT 34.016 531.594 Td /F1 13.5 Tf [(Linear and Nonlinear Inverse Problems with Practical Applications)] TJ ET
BT 427.905 531.594 Td /F1 13.5 Tf [( Jennifer L. Mueller 2012-11-30 Inverse problems arise in )] TJ ET
BT 34.016 515.110 Td /F1 13.5 Tf [(practical applications whenever there is a need to interpret indirect measurements. This book explains how to identify ill-posed )] TJ ET
BT 34.016 498.627 Td /F1 13.5 Tf [(inverse problems arising in practice and gives a hands-on guide to designing computational solution methods for them, with )] TJ ET
BT 34.016 482.143 Td /F1 13.5 Tf [(related codes on an accompanying website. The guiding linear inversion examples are the problem of image deblurring, x-ray )] TJ ET
BT 34.016 465.660 Td /F1 13.5 Tf [(tomography, and backward parabolic problems, including heat transfer. A thorough treatment of electrical impedance )] TJ ET
BT 34.016 449.176 Td /F1 13.5 Tf [(tomography is used as the guiding nonlinear inversion example which combines the analytic-geometric research tradition and the )] TJ ET
BT 34.016 432.693 Td /F1 13.5 Tf [(regularization-based school of thought in a fruitful manner. This book is complete with exercises and project topics, making it )] TJ ET
BT 34.016 416.209 Td /F1 13.5 Tf [(ideal as a classroom textbook or self-study guide for graduate and advanced undergraduate students in mathematics, )] TJ ET
BT 34.016 399.726 Td /F1 13.5 Tf [(engineering or physics who wish to learn about computational inversion. It also acts as a useful guide for researchers who )] TJ ET
BT 34.016 383.242 Td /F1 13.5 Tf [(develop inversion techniques in high-tech industry.)] TJ ET
BT 34.016 366.759 Td /F1 13.5 Tf [(Regularization and Bayesian Methods for Inverse Problems in Signal and Image Processing)] TJ ET
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34.016 364.531 m 583.250 364.531 l S
BT 583.250 366.759 Td /F1 13.5 Tf [( Jean-Francois Giovannelli 2015-02-)] TJ ET
BT 34.016 350.275 Td /F1 13.5 Tf [(02 The focus of this book is on "ill-posed inverse problems". These problems cannot be solved only on the basis of observed )] TJ ET
BT 34.016 333.792 Td /F1 13.5 Tf [(data. The building of solutions involves the recognition of other pieces of a priori information. These solutions are then specific to )] TJ ET
BT 34.016 317.308 Td /F1 13.5 Tf [(the pieces of information taken into account. Clarifying and taking these pieces of information into account is necessary for )] TJ ET
BT 34.016 300.825 Td /F1 13.5 Tf [(grasping the domain of validity and the field of application for the solutions built. For too long, the interest in these problems has )] TJ ET
BT 34.016 284.341 Td /F1 13.5 Tf [(remained very limited in the signal-image community. However, the community has since recognized that these matters are )] TJ ET
BT 34.016 267.858 Td /F1 13.5 Tf [(more interesting and they have become the subject of much greater enthusiasm. From the application field’s point of view, a )] TJ ET
BT 34.016 251.374 Td /F1 13.5 Tf [(significant part of the book is devoted to conventional subjects in the field of inversion: biological and medical imaging, )] TJ ET
BT 34.016 234.891 Td /F1 13.5 Tf [(astronomy, non-destructive evaluation, processing of video sequences, target tracking, sensor networks and digital )] TJ ET
BT 34.016 218.407 Td /F1 13.5 Tf [(communications. The variety of chapters is also clear, when we examine the acquisition modalities at stake: conventional )] TJ ET
BT 34.016 201.924 Td /F1 13.5 Tf [(modalities, such as tomography and NMR, visible or infrared optical imaging, or more recent modalities such as atomic force )] TJ ET
BT 34.016 185.440 Td /F1 13.5 Tf [(imaging and polarized light imaging.)] TJ ET
BT 34.016 168.957 Td /F1 13.5 Tf [(Introduction to Inverse Problems in Imaging)] TJ ET
BT 294.377 168.957 Td /F1 13.5 Tf [( M. Bertero 2020-08-30 This is a graduate textbook on the principles of linear inverse )] TJ ET
BT 34.016 152.473 Td /F1 13.5 Tf [(problems, methods of their approximate solution, and practical application in imaging. The level of mathematical treatment is )] TJ ET
BT 34.016 135.990 Td /F1 13.5 Tf [(kept as low as possible to make the book suitable for a wide range of readers from different backgrounds in science and )] TJ ET
BT 34.016 119.506 Td /F1 13.5 Tf [(engineering. Mathematical prerequisites are first courses in analysis, geometry, linear algebra, probability theory, and Fourier )] TJ ET
BT 34.016 103.023 Td /F1 13.5 Tf [(analysis. The authors concentrate on presenting easily implementable and fast solution algorithms. With examples and exercises )] TJ ET
BT 34.016 86.539 Td /F1 13.5 Tf [(throughout, the book will provide the reader with the appropriate background for a clear understanding of the essence of inverse )] TJ ET
BT 34.016 70.056 Td /F1 13.5 Tf [(problems \(ill-posedness and its cure\) and, consequently, for an intelligent assessment of the rapidly growing literature on these )] TJ ET
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BT 34.016 548.077 Td /F1 13.5 Tf [(problems.)] TJ ET
BT 34.016 531.594 Td /F1 13.5 Tf [(Regularization of Inverse Problems)] TJ ET
BT 244.089 531.594 Td /F1 13.5 Tf [( Heinz Werner Engl 2000-03-31 This book is devoted to the mathematical theory of )] TJ ET
BT 34.016 515.110 Td /F1 13.5 Tf [(regularization methods and gives an account of the currently available results about regularization methods for linear and )] TJ ET
BT 34.016 498.627 Td /F1 13.5 Tf [(nonlinear ill-posed problems. Both continuous and iterative regularization methods are considered in detail with special emphasis )] TJ ET
BT 34.016 482.143 Td /F1 13.5 Tf [(on the development of parameter choice and stopping rules which lead to optimal convergence rates.)] TJ ET
BT 34.016 465.660 Td /F1 13.5 Tf [(Large-Scale Inverse Problems and Quantification of Uncertainty)] TJ ET
BT 415.175 465.660 Td /F1 13.5 Tf [( Lorenz Biegler 2010-11-15 This book focuses on computational )] TJ ET
BT 34.016 449.176 Td /F1 13.5 Tf [(methods for large-scale statistical inverse problems and provides an introduction to statistical Bayesian and frequentist )] TJ ET
BT 34.016 432.693 Td /F1 13.5 Tf [(methodologies. Recent research advances for approximation methods are discussed, along with Kalman filtering methods and )] TJ ET
BT 34.016 416.209 Td /F1 13.5 Tf [(optimization-based approaches to solving inverse problems. The aim is to cross-fertilize the perspectives of researchers in the )] TJ ET
BT 34.016 399.726 Td /F1 13.5 Tf [(areas of data assimilation, statistics, large-scale optimization, applied and computational mathematics, high performance )] TJ ET
BT 34.016 383.242 Td /F1 13.5 Tf [(computing, and cutting-edge applications. The solution to large-scale inverse problems critically depends on methods to reduce )] TJ ET
BT 34.016 366.759 Td /F1 13.5 Tf [(computational cost. Recent research approaches tackle this challenge in a variety of different ways. Many of the computational )] TJ ET
BT 34.016 350.275 Td /F1 13.5 Tf [(frameworks highlighted in this book build upon state-of-the-art methods for simulation of the forward problem, such as, fast )] TJ ET
BT 34.016 333.792 Td /F1 13.5 Tf [(Partial Differential Equation \(PDE\) solvers, reduced-order models and emulators of the forward problem, stochastic spectral )] TJ ET
BT 34.016 317.308 Td /F1 13.5 Tf [(approximations, and ensemble-based approximations, as well as exploiting the machinery for large-scale deterministic )] TJ ET
BT 34.016 300.825 Td /F1 13.5 Tf [(optimization through adjoint and other sensitivity analysis methods. Key Features: • Brings together the perspectives of )] TJ ET
BT 34.016 284.341 Td /F1 13.5 Tf [(researchers in areas of inverse problems and data assimilation. • Assesses the current state-of-the-art and identify needs and )] TJ ET
BT 34.016 267.858 Td /F1 13.5 Tf [(opportunities for future research. • Focuses on the computational methods used to analyze and simulate inverse problems. • )] TJ ET
BT 34.016 251.374 Td /F1 13.5 Tf [(Written by leading experts of inverse problems and uncertainty quantification. Graduate students and researchers working in )] TJ ET
BT 34.016 234.891 Td /F1 13.5 Tf [(statistics, mathematics and engineering will benefit from this book.)] TJ ET
BT 34.016 218.407 Td /F1 13.5 Tf [(Fourier Optics and Computational Imaging)] TJ ET
BT 287.613 218.407 Td /F1 13.5 Tf [( Kedar Khare 2015-09-21 This book covers both the mathematics of inverse problems )] TJ ET
BT 34.016 201.924 Td /F1 13.5 Tf [(and optical systems design, and includes a review of the mathematical methods and Fourier optics. The first part of the book )] TJ ET
BT 34.016 185.440 Td /F1 13.5 Tf [(deals with the mathematical tools in detail with minimal assumption about prior knowledge on the part of the reader. The second )] TJ ET
BT 34.016 168.957 Td /F1 13.5 Tf [(part of the book discusses concepts in optics, particularly propagation of optical waves and coherence properties of optical fields )] TJ ET
BT 34.016 152.473 Td /F1 13.5 Tf [(that form the basis of the computational models used for image recovery. The third part provides a discussion of specific imaging )] TJ ET
BT 34.016 135.990 Td /F1 13.5 Tf [(systems that illustrate the power of the hybrid computational imaging model in enhancing imaging performance. A number of )] TJ ET
BT 34.016 119.506 Td /F1 13.5 Tf [(exercises are provided for readers to develop further understanding of computational imaging. While the focus of the book is )] TJ ET
BT 34.016 103.023 Td /F1 13.5 Tf [(largely on optical imaging systems, the key concepts are discussed in a fairly general manner so as to provide useful )] TJ ET
BT 34.016 86.539 Td /F1 13.5 Tf [(background for understanding the mechanisms of a diverse range of imaging modalities.)] TJ ET
BT 34.016 70.056 Td /F1 13.5 Tf [(Inverse Theory and Applications in Geophysics)] TJ ET
BT 315.383 70.056 Td /F1 13.5 Tf [( Michael S. Zhdanov 2015-07-15 Geophysical Inverse Theory and Applications, )] TJ ET
BT 34.016 53.572 Td /F1 13.5 Tf [(Second Edition, brings together fundamental results developed by the Russian mathematical school in regularization theory and )] TJ ET
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BT 34.016 548.077 Td /F1 13.5 Tf [(combines them with the related research in geophysical inversion carried out in the West. It presents a detailed exposition of the )] TJ ET
BT 34.016 531.594 Td /F1 13.5 Tf [(methods of regularized solution of inverse problems based on the ideas of Tikhonov regularization, and shows the different forms )] TJ ET
BT 34.016 515.110 Td /F1 13.5 Tf [(of their applications in both linear and nonlinear methods of geophysical inversion. It’s the first book of its kind to treat many )] TJ ET
BT 34.016 498.627 Td /F1 13.5 Tf [(kinds of inversion and imaging techniques in a unified mathematical manner. The book is divided in five parts covering the )] TJ ET
BT 34.016 482.143 Td /F1 13.5 Tf [(foundations of the inversion theory and its applications to the solution of different geophysical inverse problems, including )] TJ ET
BT 34.016 465.660 Td /F1 13.5 Tf [(potential field, electromagnetic, and seismic methods. Unique in its focus on providing a link between the methods used in )] TJ ET
BT 34.016 449.176 Td /F1 13.5 Tf [(gravity, electromagnetic, and seismic imaging and inversion, it represents an exhaustive treatise on inversion theory. Written by )] TJ ET
BT 34.016 432.693 Td /F1 13.5 Tf [(one of the world’s foremost experts, this work is widely recognized as the ultimate researcher’s reference on geophysical inverse )] TJ ET
BT 34.016 416.209 Td /F1 13.5 Tf [(theory and its practical scientific applications. Presents state-of-the-art geophysical inverse theory developed in modern )] TJ ET
BT 34.016 399.726 Td /F1 13.5 Tf [(mathematical terminology—the first to treat many kinds of inversion and imaging techniques in a unified mathematical way. )] TJ ET
BT 34.016 383.242 Td /F1 13.5 Tf [(Provides a critical link between the methods used in gravity, electromagnetic, and seismic imaging and inversion, and represents )] TJ ET
BT 34.016 366.759 Td /F1 13.5 Tf [(an exhaustive treatise on geophysical inversion theory. Features more than 300 illustrations, figures, charts and graphs to )] TJ ET
BT 34.016 350.275 Td /F1 13.5 Tf [(underscore key concepts. Reflects the latest developments in inversion theory and applications and captures the most significant )] TJ ET
BT 34.016 333.792 Td /F1 13.5 Tf [(changes in the field over the past decade.)] TJ ET
BT 34.016 317.308 Td /F1 13.5 Tf [(Inverse Problem Theory and Methods for Model Parameter Estimation)] TJ ET
BT 453.420 317.308 Td /F1 13.5 Tf [( Albert Tarantola 2005-01-01 While the prediction of )] TJ ET
BT 34.016 300.825 Td /F1 13.5 Tf [(observations is a forward problem, the use of actual observations to infer the properties of a model is an inverse problem. )] TJ ET
BT 34.016 284.341 Td /F1 13.5 Tf [(Inverse problems are difficult because they may not have a unique solution. The description of uncertainties plays a central role )] TJ ET
BT 34.016 267.858 Td /F1 13.5 Tf [(in the theory, which is based on probability theory. This book proposes a general approach that is valid for linear as well as for )] TJ ET
BT 34.016 251.374 Td /F1 13.5 Tf [(nonlinear problems. The philosophy is essentially probabilistic and allows the reader to understand the basic difficulties )] TJ ET
BT 34.016 234.891 Td /F1 13.5 Tf [(appearing in the resolution of inverse problems. The book attempts to explain how a method of acquisition of information can be )] TJ ET
BT 34.016 218.407 Td /F1 13.5 Tf [(applied to actual real-world problems, and many of the arguments are heuristic.)] TJ ET
BT 34.016 201.924 Td /F1 13.5 Tf [(Comprehensive Electrocardiology)] TJ ET
BT 235.827 201.924 Td /F1 13.5 Tf [( Peter W. Macfarlane 2010-11-05 New edition of the classic complete reference book for )] TJ ET
BT 34.016 185.440 Td /F1 13.5 Tf [(cardiologists and trainee cardiologists on the theory and practice of electrocardiography, one of the key modalities used for )] TJ ET
BT 34.016 168.957 Td /F1 13.5 Tf [(evaluating cardiology patients and deciding on appropriate management strategies.)] TJ ET
BT 34.016 152.473 Td /F1 13.5 Tf [(An Introduction to the Mathematical Theory of Inverse Problems)] TJ ET
BT 415.931 152.473 Td /F1 13.5 Tf [( Andreas Kirsch 1996-09-26 Following Keller [119] we call two )] TJ ET
BT 34.016 135.990 Td /F1 13.5 Tf [(problems inverse to each other if the for mulation of each of them requires full or partial knowledge of the other. By this definition, )] TJ ET
BT 34.016 119.506 Td /F1 13.5 Tf [(it is obviously arbitrary which of the two problems we call the direct and which we call the inverse problem. But usually, one of )] TJ ET
BT 34.016 103.023 Td /F1 13.5 Tf [(the problems has been studied earlier and, perhaps, in more detail. This one is usually called the direct problem, whereas the )] TJ ET
BT 34.016 86.539 Td /F1 13.5 Tf [(other is the inverse problem. However, there is often another, more important difference between these two problems. Hadamard )] TJ ET
BT 34.016 70.056 Td /F1 13.5 Tf [(\(see [91]\) introduced the concept of a well-posed problem, originating from the philosophy that the mathematical model of a )] TJ ET
BT 34.016 53.572 Td /F1 13.5 Tf [(physical problem has to have the properties of uniqueness, existence, and stability of the solution. If one of the properties fails to )] TJ ET
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BT 34.016 548.077 Td /F1 13.5 Tf [(hold, he called the problem ill-posed. It turns out that many interesting and important inverse in science lead to ill-posed )] TJ ET
BT 34.016 531.594 Td /F1 13.5 Tf [(problems, while the corresponding di problems rect problems are well-posed. Often, existence and uniqueness can be forced by )] TJ ET
BT 34.016 515.110 Td /F1 13.5 Tf [(enlarging or reducing the solution space \(the space of "models"\). For restoring stability, however, one has to change the topology )] TJ ET
BT 34.016 498.627 Td /F1 13.5 Tf [(of the spaces, which is in many cases impossible because of the presence of measurement errors. At first glance, it seems to be )] TJ ET
BT 34.016 482.143 Td /F1 13.5 Tf [(impossible to compute the solution of a problem numerically if the solution of the problem does not depend continuously on the )] TJ ET
BT 34.016 465.660 Td /F1 13.5 Tf [(data, i. e. , for the case of ill-posed problems.)] TJ ET
BT 34.016 449.176 Td /F1 13.5 Tf [(Discrete Inverse Problems)] TJ ET
BT 192.303 449.176 Td /F1 13.5 Tf [( Per Christian Hansen 2010 This book gives an introduction to the practical treatment of inverse )] TJ ET
BT 34.016 432.693 Td /F1 13.5 Tf [(problems by means of numerical methods, with a focus on basic mathematical and computational aspects. To solve inverse )] TJ ET
BT 34.016 416.209 Td /F1 13.5 Tf [(problems, we demonstrate that insight about them goes hand in hand with algorithms.)] TJ ET
BT 34.016 399.726 Td /F1 13.5 Tf [(Handbook of Mathematical Methods in Imaging)] TJ ET
BT 316.139 399.726 Td /F1 13.5 Tf [( Otmar Scherzer 2010-11-23 The Handbook of Mathematical Methods in Imaging )] TJ ET
BT 34.016 383.242 Td /F1 13.5 Tf [(provides a comprehensive treatment of the mathematical techniques used in imaging science. The material is grouped into two )] TJ ET
BT 34.016 366.759 Td /F1 13.5 Tf [(central themes, namely, Inverse Problems \(Algorithmic Reconstruction\) and Signal and Image Processing. Each section within )] TJ ET
BT 34.016 350.275 Td /F1 13.5 Tf [(the themes covers applications \(modeling\), mathematics, numerical methods \(using a case example\) and open questions. )] TJ ET
BT 34.016 333.792 Td /F1 13.5 Tf [(Written by experts in the area, the presentation is mathematically rigorous. The entries are cross-referenced for easy navigation )] TJ ET
BT 34.016 317.308 Td /F1 13.5 Tf [(through connected topics. Available in both print and electronic forms, the handbook is enhanced by more than 150 illustrations )] TJ ET
BT 34.016 300.825 Td /F1 13.5 Tf [(and an extended bibliography. It will benefit students, scientists and researchers in applied mathematics. Engineers and )] TJ ET
BT 34.016 284.341 Td /F1 13.5 Tf [(computer scientists working in imaging will also find this handbook useful.)] TJ ET
BT 34.016 267.858 Td /F1 13.5 Tf [(Introduction to Inverse Problems in Imaging,)] TJ ET
BT 298.130 267.858 Td /F1 13.5 Tf [( Mario Bertero 1998-01-01 This is a graduate textbook on the principles of linear )] TJ ET
BT 34.016 251.374 Td /F1 13.5 Tf [(inverse problems, methods of their approximate solution and practical application in imaging. The level of mathematical )] TJ ET
BT 34.016 234.891 Td /F1 13.5 Tf [(treatment is kept as low as possible to make the book suitable for a wide range of readers from different backgrounds in science )] TJ ET
BT 34.016 218.407 Td /F1 13.5 Tf [(and engineering. Mathematical prerequisites are first courses in analysis, geometry, linear algebra, probability theory and Fourier )] TJ ET
BT 34.016 201.924 Td /F1 13.5 Tf [(analysis. The authors concentrate on presenting easily implementable and fast solution algorithms. The book will provide the )] TJ ET
BT 34.016 185.440 Td /F1 13.5 Tf [(reader with the appropriate background for a clear understanding of the essence of inverse problems \(ill-posedness and its cure\) )] TJ ET
BT 34.016 168.957 Td /F1 13.5 Tf [(and, consequently, for an intelligent assessment of the rapidly growing literature on these problems.)] TJ ET
BT 34.016 152.473 Td /F1 13.5 Tf [(An Introduction to Inverse Scattering and Inverse Spectral Problems)] TJ ET
BT 440.703 152.473 Td /F1 13.5 Tf [( Khosrow Chadan 1997-01-01 Here is a clearly written )] TJ ET
BT 34.016 135.990 Td /F1 13.5 Tf [(introduction to three central areas of inverse problems: inverse problems in electromagnetic scattering theory, inverse spectral )] TJ ET
BT 34.016 119.506 Td /F1 13.5 Tf [(theory, and inverse problems in quantum scattering theory. Inverse problems, one of the most attractive parts of applied )] TJ ET
BT 34.016 103.023 Td /F1 13.5 Tf [(mathematics, attempt to obtain information about structures by nondestructive measurements. Based on a series of lectures )] TJ ET
BT 34.016 86.539 Td /F1 13.5 Tf [(presented by three of the authors, all experts in the field, the book provides a quick and easy way for readers to become familiar )] TJ ET
BT 34.016 70.056 Td /F1 13.5 Tf [(with the area through a survey of recent developments in inverse spectral and inverse scattering problems.)] TJ ET
BT 34.016 53.572 Td /F1 13.5 Tf [(Inverse Imaging with Poisson Data)] TJ ET
BT 241.848 53.572 Td /F1 13.5 Tf [( Mario Bertero 2018-12-27 Inverse Imaging with Poisson Data is an invaluable resource for )] TJ ET
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BT 34.016 548.077 Td /F1 13.5 Tf [(graduate students, postdocs and researchers interested in the application of inverse problems to the domains of applied )] TJ ET
BT 34.016 531.594 Td /F1 13.5 Tf [(sciences, such as microscopy, medical imaging and astronomy. The purpose of the book is to provide a comprehensive account )] TJ ET
BT 34.016 515.110 Td /F1 13.5 Tf [(of the theoretical results, methods and algorithms related to the problem of image reconstruction from Poisson data within the )] TJ ET
BT 34.016 498.627 Td /F1 13.5 Tf [(framework of the maximum likelihood approach introduced by Shepp and Vardi.)] TJ ET
BT 34.016 482.143 Td /F1 13.5 Tf [(An Introduction to Data Analysis and Uncertainty Quantification for Inverse Problems)] TJ ET
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34.016 479.916 m 538.983 479.916 l S
BT 538.983 482.143 Td /F1 13.5 Tf [( Luis Tenorio 2017-07-06 Inverse problems )] TJ ET
BT 34.016 465.660 Td /F1 13.5 Tf [(are found in many applications, such as medical imaging, engineering, astronomy, and geophysics, among others. To solve an )] TJ ET
BT 34.016 449.176 Td /F1 13.5 Tf [(inverse problem is to recover an object from noisy, usually indirect observations. Solutions to inverse problems are subject to )] TJ ET
BT 34.016 432.693 Td /F1 13.5 Tf [(many potential sources of error introduced by approximate mathematical models, regularization methods, numerical )] TJ ET
BT 34.016 416.209 Td /F1 13.5 Tf [(approximations for efficient computations, noisy data, and limitations in the number of observations; thus it is important to include )] TJ ET
BT 34.016 399.726 Td /F1 13.5 Tf [(an assessment of the uncertainties as part of the solution. Such assessment is interdisciplinary by nature, as it requires, in )] TJ ET
BT 34.016 383.242 Td /F1 13.5 Tf [(addition to knowledge of the particular application, methods from applied mathematics, probability, and statistics. This book )] TJ ET
BT 34.016 366.759 Td /F1 13.5 Tf [(bridges applied mathematics and statistics by providing a basic introduction to probability and statistics for uncertainty )] TJ ET
BT 34.016 350.275 Td /F1 13.5 Tf [(quantification in the context of inverse problems, as well as an introduction to statistical regularization of inverse problems. The )] TJ ET
BT 34.016 333.792 Td /F1 13.5 Tf [(author covers basic statistical inference, introduces the framework of ill-posed inverse problems, and explains statistical )] TJ ET
BT 34.016 317.308 Td /F1 13.5 Tf [(questions that arise in their applications. An Introduction to Data Analysis and Uncertainty Quantification for Inverse )] TJ ET
BT 34.016 300.825 Td /F1 13.5 Tf [(Problems÷includes many examples that explain techniques which are useful to address general problems arising in uncertainty )] TJ ET
BT 34.016 284.341 Td /F1 13.5 Tf [(quantification, Bayesian and non-Bayesian statistical methods and discussions of their complementary roles, and analysis of a )] TJ ET
BT 34.016 267.858 Td /F1 13.5 Tf [(real data set to illustrate the methodology covered throughout the book.)] TJ ET
BT 34.016 251.374 Td /F1 13.5 Tf [(Wavelets)] TJ ET
BT 89.528 251.374 Td /F1 13.5 Tf [( Jean-Michel Combes 2012-12-06 The last two subjects mentioned in the title "Wavelets, Time Frequency Methods and )] TJ ET
BT 34.016 234.891 Td /F1 13.5 Tf [(Phase Space" are so well established that they do not need any explanations. The first is related to them, but a short introduction )] TJ ET
BT 34.016 218.407 Td /F1 13.5 Tf [(is appropriate since the concept of wavelets emerged fairly recently. Roughly speaking, a wavelet decomposition is an expansion )] TJ ET
BT 34.016 201.924 Td /F1 13.5 Tf [(of an arbitrary function into smooth localized contributions labeled by a scale and a position pa rameter. Many of the ideas and )] TJ ET
BT 34.016 185.440 Td /F1 13.5 Tf [(techniques related to such expansions have existed for a long time and are widely used in mathematical analysis, theoretical )] TJ ET
BT 34.016 168.957 Td /F1 13.5 Tf [(physics and engineering. However, the rate of progress increased significantly when it was realized that these ideas could give )] TJ ET
BT 34.016 152.473 Td /F1 13.5 Tf [(rise to straightforward calculational methods applicable to different fields. The interdisciplinary structure \(R.C.P. "Ondelettes"\) of )] TJ ET
BT 34.016 135.990 Td /F1 13.5 Tf [(the C.N.R.S. and help from the Societe Nationale Elf-Aquitaine greatly fostered these developments. The conference, the )] TJ ET
BT 34.016 119.506 Td /F1 13.5 Tf [(proceedings of which are contained in this volume, was held at the Centre National de Rencontres Mathematiques \(C.N.R.M\) in )] TJ ET
BT 34.016 103.023 Td /F1 13.5 Tf [(Marseille from December 14-18, 1987 and bought together an interdisciplinary mix of par ticipants. We hope that these )] TJ ET
BT 34.016 86.539 Td /F1 13.5 Tf [(proceedings will convey to the reader some of the excitement and flavor of the meeting.)] TJ ET
BT 34.016 70.056 Td /F1 13.5 Tf [(Computational Methods for Inverse Problems)] TJ ET
BT 304.866 70.056 Td /F1 13.5 Tf [( Curtis R. Vogel 2002 Provides a basic understanding of both the underlying )] TJ ET
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BT 34.016 548.077 Td /F1 13.5 Tf [(mathematics and the computational methods used to solve inverse problems.)] TJ ET
BT 34.016 531.594 Td /F1 13.5 Tf [(Mathematical Modelling)] TJ ET
BT 175.806 531.594 Td /F1 13.5 Tf [( Seppo Pohjolainen 2016-07-14 This book provides a thorough introduction to the challenge of applying )] TJ ET
BT 34.016 515.110 Td /F1 13.5 Tf [(mathematics in real-world scenarios. Modelling tasks rarely involve well-defined categories, and they often require )] TJ ET
BT 34.016 498.627 Td /F1 13.5 Tf [(multidisciplinary input from mathematics, physics, computer sciences, or engineering. In keeping with this spirit of modelling, the )] TJ ET
BT 34.016 482.143 Td /F1 13.5 Tf [(book includes a wealth of cross-references between the chapters and frequently points to the real-world context. The book )] TJ ET
BT 34.016 465.660 Td /F1 13.5 Tf [(combines classical approaches to modelling with novel areas such as soft computing methods, inverse problems, and model )] TJ ET
BT 34.016 449.176 Td /F1 13.5 Tf [(uncertainty. Attention is also paid to the interaction between models, data and the use of mathematical software. The reader will )] TJ ET
BT 34.016 432.693 Td /F1 13.5 Tf [(find a broad selection of theoretical tools for practicing industrial mathematics, including the analysis of continuum models, )] TJ ET
BT 34.016 416.209 Td /F1 13.5 Tf [(probabilistic and discrete phenomena, and asymptotic and sensitivity analysis.)] TJ ET
BT 34.016 399.726 Td /F1 13.5 Tf [(An Introduction to Inverse Problems)] TJ ET
BT 248.612 399.726 Td /F1 13.5 Tf [( Jorge P. Zubelli 1999 )] TJ ET
BT 34.016 383.242 Td /F1 13.5 Tf [(Computational Methods for Electromagnetic Inverse Scattering)] TJ ET
BT 409.167 383.242 Td /F1 13.5 Tf [( Xudong Chen 2018-07-18 A comprehensive and updated )] TJ ET
BT 34.016 366.759 Td /F1 13.5 Tf [(overview of the theory, algorithms and applications of for electromagnetic inverse scattering problems Offers the recent and most )] TJ ET
BT 34.016 350.275 Td /F1 13.5 Tf [(important advances in inverse scattering grounded in fundamental theory, algorithms and practical engineering applications )] TJ ET
BT 34.016 333.792 Td /F1 13.5 Tf [(Covers the latest, most relevant inverse scattering techniques like signal subspace methods, time reversal, linear sampling, )] TJ ET
BT 34.016 317.308 Td /F1 13.5 Tf [(qualitative methods, compressive sensing, and noniterative methods Emphasizes theory, mathematical derivation and physical )] TJ ET
BT 34.016 300.825 Td /F1 13.5 Tf [(insights of various inverse scattering problems Written by a leading expert in the field)] TJ ET
BT 34.016 284.341 Td /F1 13.5 Tf [(Iterative Optimization in Inverse Problems)] TJ ET
BT 283.847 284.341 Td /F1 13.5 Tf [( Charles L. Byrne 2014-02-12 Iterative Optimization in Inverse Problems brings )] TJ ET
BT 34.016 267.858 Td /F1 13.5 Tf [(together a number of important iterative algorithms for medical imaging, optimization, and statistical estimation. It incorporates )] TJ ET
BT 34.016 251.374 Td /F1 13.5 Tf [(recent work that has not appeared in other books and draws on the author’s considerable research in the field, including his )] TJ ET
BT 34.016 234.891 Td /F1 13.5 Tf [(recently developed class of SUMMA algorithms. Related to sequential unconstrained minimization methods, the SUMMA class )] TJ ET
BT 34.016 218.407 Td /F1 13.5 Tf [(includes a wide range of iterative algorithms well known to researchers in various areas, such as statistics and image )] TJ ET
BT 34.016 201.924 Td /F1 13.5 Tf [(processing. Organizing the topics from general to more specific, the book first gives an overview of sequential optimization, the )] TJ ET
BT 34.016 185.440 Td /F1 13.5 Tf [(subclasses of auxiliary-function methods, and the SUMMA algorithms. The next three chapters present particular examples in )] TJ ET
BT 34.016 168.957 Td /F1 13.5 Tf [(more detail, including barrier- and penalty-function methods, proximal minimization, and forward-backward splitting. The author )] TJ ET
BT 34.016 152.473 Td /F1 13.5 Tf [(also focuses on fixed-point algorithms for operators on Euclidean space and then extends the discussion to include distance )] TJ ET
BT 34.016 135.990 Td /F1 13.5 Tf [(measures other than the usual Euclidean distance. In the final chapters, specific problems illustrate the use of iterative methods )] TJ ET
BT 34.016 119.506 Td /F1 13.5 Tf [(previously discussed. Most chapters contain exercises that introduce new ideas and make the book suitable for self-study. )] TJ ET
BT 34.016 103.023 Td /F1 13.5 Tf [(Unifying a variety of seemingly disparate algorithms, the book shows how to derive new properties of algorithms by comparing )] TJ ET
BT 34.016 86.539 Td /F1 13.5 Tf [(known properties of other algorithms. This unifying approach also helps researchers—from statisticians working on parameter )] TJ ET
BT 34.016 70.056 Td /F1 13.5 Tf [(estimation to image scientists processing scanning data to mathematicians involved in theoretical and applied )] TJ ET
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BT 34.016 548.077 Td /F1 13.5 Tf [(optimization—discover useful related algorithms in areas outside of their expertise.)] TJ ET
BT 34.016 531.594 Td /F1 13.5 Tf [(The Radon Transform)] TJ ET
BT 166.059 531.594 Td /F1 13.5 Tf [( Ronny Ramlau 2019-06-17 In 1917, Johann Radon published his fundamental work, where he introduced )] TJ ET
BT 34.016 515.110 Td /F1 13.5 Tf [(what is now called the Radon transform. Including important contributions by several experts, this book reports on ground-)] TJ ET
BT 34.016 498.627 Td /F1 13.5 Tf [(breaking developments related to the Radon transform throughout these years, and also discusses novel mathematical research )] TJ ET
BT 34.016 482.143 Td /F1 13.5 Tf [(topics and applications for the next century.)] TJ ET
BT 36.266 439.082 Td /F1 8.0 Tf [(introduction-to-inverse-problems-in-imaging)] TJ ET
BT 555.280 439.290 Td /F1 8.0 Tf [(Downloaded from )] TJ ET
BT 620.192 439.082 Td /F1 8.0 Tf [(coloringplanet.com)] TJ ET
BT 687.328 439.290 Td /F1 8.0 Tf [( on September 30, 2022 by guest)] TJ ET
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