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BT 34.016 360.812 Td /F1 15.0 Tf [(Introduction To Inverse Problems In Imaging)] TJ ET
BT 34.016 332.273 Td /F1 7.5 Tf [(Thank you extremely much for downloading )] TJ ET
BT 181.158 332.273 Td /F1 7.5 Tf [(Introduction To Inverse Problems In Imaging)] TJ ET
BT 328.721 332.273 Td /F1 7.5 Tf [(.Maybe you have knowledge that, people have see numerous time )] TJ ET
BT 34.016 323.116 Td /F1 7.5 Tf [(for their favorite books next this Introduction To Inverse Problems In Imaging, but end in the works in harmful downloads. )] TJ ET
BT 34.016 304.958 Td /F1 7.5 Tf [(Rather than enjoying a good PDF once a mug of coffee in the afternoon, on the other hand they juggled later than some harmful virus inside their computer. )] TJ ET
BT 34.016 295.801 Td /F1 7.5 Tf [(Introduction To Inverse Problems In Imaging)] TJ ET
BT 181.578 295.801 Td /F1 7.5 Tf [( is manageable in our digital library an online admission to it is set as public thus you can download it instantly. )] TJ ET
BT 34.016 286.643 Td /F1 7.5 Tf [(Our digital library saves in combined countries, allowing you to get the most less latency time to download any of our books following this one. Merely said, the )] TJ ET
BT 34.016 277.486 Td /F1 7.5 Tf [(Introduction To Inverse Problems In Imaging is universally compatible with any devices to read.)] TJ ET
BT 34.016 244.328 Td /F1 7.5 Tf [(Computed Radiation Imaging)] TJ ET
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34.016 243.091 m 131.141 243.091 l S
BT 131.141 244.328 Td /F1 7.5 Tf [( Esam M A Hussein 2011-06-01 Computer-assisted imaging with radiation \(x- and gamma rays\) is an integral part of modern )] TJ ET
BT 34.016 235.171 Td /F1 7.5 Tf [(medical-diagnostic practice. This imaging technology is also slowly finding its way into industrial applications. Although the technology is well developed, there )] TJ ET
BT 34.016 226.013 Td /F1 7.5 Tf [(is a need for further improvement to enhance image quality, reduce artifacts, minimize patient radiation exposure, compete with and complement other )] TJ ET
BT 34.016 216.856 Td /F1 7.5 Tf [(imaging methods \(such as magnetic resonance imaging and ultrasonics\), and accommodate dense and large objects encountered in industrial applications. )] TJ ET
BT 34.016 207.698 Td /F1 7.5 Tf [(Scientists and engineers, attempting to progress this technology, are faced with an enormous amount of literature, addressing the imaging problem from )] TJ ET
BT 34.016 198.541 Td /F1 7.5 Tf [(various view points. This book provides a single source that addresses both the physical and mathematical aspects of the imaging problem in a consistent and )] TJ ET
BT 34.016 189.383 Td /F1 7.5 Tf [(comprehensive manner. Discusses the inherent physical and numerical capabilities and limitations of the methods presented for both the forward and inverse )] TJ ET
BT 34.016 180.226 Td /F1 7.5 Tf [(problems Provides information on available Internet resources and software Written in a manner that makes it readable by physicists, mathematicians, )] TJ ET
BT 34.016 171.068 Td /F1 7.5 Tf [(engineers and computer scientists – avoids, as much as possible, the use of specialized terminology without clear introduction and definition)] TJ ET
BT 34.016 161.911 Td /F1 7.5 Tf [(Optimization Theory and Applications)] TJ ET
BT 158.231 161.911 Td /F1 7.5 Tf [( Jochen Werner 1984 This book is a slightly augmented version of a set of lec tures on optimization which I held at the )] TJ ET
BT 34.016 152.753 Td /F1 7.5 Tf [(University of Got tingen in the winter semester 1983/84. The lectures were in tended to give an introduction to the foundations and an im pression of the )] TJ ET
BT 34.016 143.596 Td /F1 7.5 Tf [(applications of optimization theory. Since in finite dimensional problems were also to be treated and one could only assume a minimal knowledge of )] TJ ET
BT 34.016 134.438 Td /F1 7.5 Tf [(functional analysis, the necessary tools from functional analysis were almost com pletely developed during the course of the semester. The most important )] TJ ET
BT 34.016 125.281 Td /F1 7.5 Tf [(aspects of the course are the duality theory for convex programming and necessary optimality conditions for nonlinear optimization problems; here we strive to )] TJ ET
BT 34.016 116.123 Td /F1 7.5 Tf [(make the geometric background particularly clear. For lack of time and space we were not able to go into several important problems in optimization - e. g. )] TJ ET
BT 34.016 106.966 Td /F1 7.5 Tf [(vector optimization, geometric program ming and stability theory. I am very grateful to various people for their help in pro ducing this text. R. Schaback )] TJ ET
BT 34.016 97.808 Td /F1 7.5 Tf [(encouraged me to publish my lec tures and put me in touch with the Vieweg-Verlag. W. BrUbach and O. Herbst proofread the manuscript; the latter also pro )] TJ ET
BT 34.016 88.651 Td /F1 7.5 Tf [(duced the drawings and assembled the index. I am indebted to W. LUck for valuable suggestions for improvement. I am also particularly grateful to R. Switzer, )] TJ ET
BT 34.016 79.493 Td /F1 7.5 Tf [(who translated the German text into English. Finally I wish to thank Frau P. Trapp for her Gare and patience in typing the final version.)] TJ ET
BT 34.016 70.336 Td /F1 7.5 Tf [(Introduction to Inverse Problems in Imaging)] TJ ET
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BT 178.661 70.336 Td /F1 7.5 Tf [( M. Bertero 1998-01-01 This is a graduate textbook on the principles of linear inverse problems, methods of their )] TJ ET
BT 34.016 61.178 Td /F1 7.5 Tf [(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 )] TJ ET
BT 34.016 52.021 Td /F1 7.5 Tf [(range of readers from different backgrounds in science and engineering. Mathematical prerequisites are first courses in analysis, geometry, linear algebra, )] TJ ET
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BT 34.016 378.188 Td /F1 7.5 Tf [(probability theory, and Fourier analysis. The authors concentrate on presenting easily implementable and fast solution algorithms. With examples and )] TJ ET
BT 34.016 369.031 Td /F1 7.5 Tf [(exercised throughout, the book will provide the reader with the appropriate background for a clear understanding of the essence of inverse problems \(ill-)] TJ ET
BT 34.016 359.873 Td /F1 7.5 Tf [(posedness and its cure\) and, consequently, for an intelligent assessment of the rapidly growing literature on these problems.)] TJ ET
BT 34.016 350.716 Td /F1 7.5 Tf [(Inverse Problems and Applications)] TJ ET
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34.016 349.478 m 149.478 349.478 l S
BT 149.478 350.716 Td /F1 7.5 Tf [( Plamen Stefanov 2014-05-05 This volume contains the proceedings of two conferences on Inverse Problems and )] TJ ET
BT 34.016 341.558 Td /F1 7.5 Tf [(Applications, held in 2012, to celebrate the work of Gunther Uhlmann. The first conference was held at the University of California, Irvine, from June 18-22, )] TJ ET
BT 34.016 332.401 Td /F1 7.5 Tf [(2012, and the second was held at Zhejiang University, Hangzhou, China, from September 17-21, 2012. The topics covered include inverse problems in )] TJ ET
BT 34.016 323.243 Td /F1 7.5 Tf [(medical imaging, scattering theory, geometry and image processing, and the mathematical theory of cloaking, as well as methods related to inverse problems.)] TJ ET
BT 34.016 314.086 Td /F1 7.5 Tf [(Encyclopedia of Artificial Intelligence)] TJ ET
BT 155.313 314.086 Td /F1 7.5 Tf [( Juan Ramon Rabunal 2009-01-01 "This book is a comprehensive and in-depth reference to the most recent )] TJ ET
BT 34.016 304.928 Td /F1 7.5 Tf [(developments in the field covering theoretical developments, techniques, technologies, among others"--Provided by publisher.)] TJ ET
BT 34.016 295.771 Td /F1 7.5 Tf [(Mathematical Modelling, Optimization, Analytic and Numerical Solutions)] TJ ET
0.15 w 0 J [ ] 0 d
34.016 294.533 m 272.426 294.533 l S
BT 272.426 295.771 Td /F1 7.5 Tf [( Pammy Manchanda 2020-02-04 This book discusses a variety of topics related to )] TJ ET
BT 34.016 286.613 Td /F1 7.5 Tf [(industrial and applied mathematics, focusing on wavelet theory, sampling theorems, inverse problems and their applications, partial differential equations as a )] TJ ET
BT 34.016 277.456 Td /F1 7.5 Tf [(model of real-world problems, computational linguistics, mathematical models and methods for meteorology, earth systems, environmental and medical )] TJ ET
BT 34.016 268.298 Td /F1 7.5 Tf [(science, and the oil industry. It features papers presented at the International Conference in Conjunction with 14th Biennial Conference of ISIAM, held at Guru )] TJ ET
BT 34.016 259.141 Td /F1 7.5 Tf [(Nanak Dev University, Amritsar, India, on 2–4 February 2018. The conference has emerged as an influential forum, bringing together prominent academic )] TJ ET
BT 34.016 249.983 Td /F1 7.5 Tf [(scientists, experts from industry, and researchers. The topics discussed include Schrodinger operators, quantum kinetic equations and their application, )] TJ ET
BT 34.016 240.826 Td /F1 7.5 Tf [(extensions of fractional integral transforms, electrical impedance tomography, diffuse optical tomography, Galerkin method by using wavelets, a Cauchy )] TJ ET
BT 34.016 231.668 Td /F1 7.5 Tf [(problem associated with Korteweg–de Vries equation, and entropy solution for scalar conservation laws. This book motivates and inspires young researchers )] TJ ET
BT 34.016 222.511 Td /F1 7.5 Tf [(in the fields of industrial and applied mathematics.)] TJ ET
BT 34.016 213.353 Td /F1 7.5 Tf [(Discrete Geometry for Computer Imagery)] TJ ET
BT 171.551 213.353 Td /F1 7.5 Tf [( Nicolas Normand 2016-04-08 This book constitutes the refereed proceedings of the 19th IAPR International )] TJ ET
BT 34.016 204.196 Td /F1 7.5 Tf [(Conference on Discrete Geometry for Computer Imagery, DGCI 2016, held in Nantes, France, in April 2016. The 32 revised full papers presented together )] TJ ET
BT 34.016 195.038 Td /F1 7.5 Tf [(with 2 invited talks were carefully selected from 51 submissions. The papers are organized in topical sections on combinatorial tools; discretization; discrete )] TJ ET
BT 34.016 185.881 Td /F1 7.5 Tf [(tomography; discrete and combinatorial topology; shape descriptors; models for discrete geometry; circle drawing; morphological analysis; geometric )] TJ ET
BT 34.016 176.723 Td /F1 7.5 Tf [(transforms; and discrete shape representation, recognition and analysis.)] TJ ET
BT 34.016 167.566 Td /F1 7.5 Tf [(Discrete Signals and Inverse Problems)] TJ ET
BT 163.226 167.566 Td /F1 7.5 Tf [( J. Carlos Santamarina 2005-12-13 Discrete Signals and Inverse Problems examines fundamental concepts necessary )] TJ ET
BT 34.016 158.408 Td /F1 7.5 Tf [(to engineers and scientists working with discrete signal processing and inverse problem solving, and places emphasis on the clear understanding of )] TJ ET
BT 34.016 149.251 Td /F1 7.5 Tf [(algorithms within the context of application needs. Based on the original ‘Introduction to Discrete Signals and Inverse Problems in Civil Engineering’, this )] TJ ET
BT 34.016 140.093 Td /F1 7.5 Tf [(expanded and enriched version: combines discrete signal processing and inverse problem solving in one book covers the most versatile tools that are needed )] TJ ET
BT 34.016 130.936 Td /F1 7.5 Tf [(to process engineering and scientific data presents step-by-step ‘implementation procedures’ for the most relevant algorithms provides instructive figures, )] TJ ET
BT 34.016 121.778 Td /F1 7.5 Tf [(solved examples and insightful exercises Discrete Signals and Inverse Problems is essential reading for experimental researchers and practicing engineers in )] TJ ET
BT 34.016 112.621 Td /F1 7.5 Tf [(civil, mechanical and electrical engineering, non-destructive testing and instrumentation. This book is also an excellent reference for advanced undergraduate )] TJ ET
BT 34.016 103.463 Td /F1 7.5 Tf [(students and graduate students in engineering and science.)] TJ ET
BT 34.016 94.306 Td /F1 7.5 Tf [(Inverse und schlecht gestellte Probleme)] TJ ET
BT 166.991 94.306 Td /F1 7.5 Tf [( Alfred Karl Louis 2013-08-13 )] TJ ET
BT 34.016 85.148 Td /F1 7.5 Tf [(An Introduction to Inverse Problems)] TJ ET
BT 153.236 85.148 Td /F1 7.5 Tf [( Jorge P. Zubelli 1999 )] TJ ET
BT 34.016 75.991 Td /F1 7.5 Tf [(Experimental Stress Analysis for Materials and Structures)] TJ ET
BT 225.326 75.991 Td /F1 7.5 Tf [( Alessandro Freddi 2015-03-19 This book summarizes the main methods of experimental stress )] TJ ET
BT 34.016 66.833 Td /F1 7.5 Tf [(analysis and examines their application to various states of stress of major technical interest, highlighting aspects not always covered in the classic literature. )] TJ ET
BT 34.016 57.676 Td /F1 7.5 Tf [(It is explained how experimental stress analysis assists in the verification and completion of analytical and numerical models, the development of )] TJ ET
BT 34.016 48.518 Td /F1 7.5 Tf [(phenomenological theories, the measurement and control of system parameters under operating conditions, and identification of causes of failure or )] TJ ET
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BT 34.016 378.188 Td /F1 7.5 Tf [(malfunction. Cases addressed include measurement of the state of stress in models, measurement of actual loads on structures, verification of stress states in )] TJ ET
BT 34.016 369.031 Td /F1 7.5 Tf [(circumstances of complex numerical modeling, assessment of stress-related material damage, and reliability analysis of artifacts \(e.g. prostheses\) that interact )] TJ ET
BT 34.016 359.873 Td /F1 7.5 Tf [(with biological systems. The book will serve graduate students and professionals as a valuable tool for finding solutions when analytical solutions do not exist.)] TJ ET
BT 34.016 350.716 Td /F1 7.5 Tf [(Encyclopedia of Nonlinear Science)] TJ ET
BT 149.898 350.716 Td /F1 7.5 Tf [( Alwyn Scott 2006-05-17 In 438 alphabetically-arranged essays, this work provides a useful overview of the core )] TJ ET
BT 34.016 341.558 Td /F1 7.5 Tf [(mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion )] TJ ET
BT 34.016 332.401 Td /F1 7.5 Tf [(problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, )] TJ ET
BT 34.016 323.243 Td /F1 7.5 Tf [(and condensed matter physics, among others.)] TJ ET
BT 34.016 314.086 Td /F1 7.5 Tf [(Approximation and Representation of Functions on the Sphere)] TJ ET
BT 241.623 314.086 Td /F1 7.5 Tf [( Ana-Maria Nicu 2012 This work concerns the representation and approximation of functions on )] TJ ET
BT 34.016 304.928 Td /F1 7.5 Tf [(a sphere with applications to source localization inverse problems in geodesy and medical imaging. The thesis is structured in 6 chapters as follow : Chapter 1 )] TJ ET
BT 34.016 295.771 Td /F1 7.5 Tf [(presents an introduction to the geodesy and M/EGG inverse problems. The inverse problem \(IP\) consists in recovering a density inside the ball \(Earth, human )] TJ ET
BT 34.016 286.613 Td /F1 7.5 Tf [(brain\) from partially known data on the surface. Chapter 2 gives the mathematical background used along the thesis. The resolution of the inverse problem )] TJ ET
BT 34.016 277.456 Td /F1 7.5 Tf [(\(IP\) involves the resolution of two steps : the transmission data problem \(TP\) and the density recovery \(DR\) problem. In practice, the data are only available )] TJ ET
BT 34.016 268.298 Td /F1 7.5 Tf [(on some region of the sphere, as a spherical cap, like the north hemisphere of the head \(M/EGG\) or continent \(geodesy\). For this purpose, in chapter 3, we )] TJ ET
BT 34.016 259.141 Td /F1 7.5 Tf [(give an efficient method to build the appropriate Slepian basis on which we express the data. This is set up by using Gauss-Legendre quadrature. The )] TJ ET
BT 34.016 249.983 Td /F1 7.5 Tf [(transmission data problem \(chapter 4\) consists in estimating the data \(spherical harmonic expansion\) over the whose sphere from noisy measurements )] TJ ET
BT 34.016 240.826 Td /F1 7.5 Tf [(expressed in Slepian basis. The second step, density recovery \(DR\) problem, is detailed in chapter 5 where we study three density models \(monopolar, )] TJ ET
BT 34.016 231.668 Td /F1 7.5 Tf [(dipolar and inclusions\). For the resolution of \(DR\), we use a best quadratic rational approximation method on planar sections. We give also some properties of )] TJ ET
BT 34.016 222.511 Td /F1 7.5 Tf [(the density and the operator which links it to the generated potential. In chapter 6, we study the chapter 3, 4 and 5 from numerical point of view. We present )] TJ ET
BT 34.016 213.353 Td /F1 7.5 Tf [(some numerical tests to illustrate source localization results for geodesy and M/EGG problems when we dispose of partial data on the sphere.)] TJ ET
BT 34.016 204.196 Td /F1 7.5 Tf [(Numerical Methods for Inverse Problems)] TJ ET
BT 169.886 204.196 Td /F1 7.5 Tf [( Michel Kern 2016-03-31 This book studies methods to concretely address inverse problems. An inverse problem )] TJ ET
BT 34.016 195.038 Td /F1 7.5 Tf [(arises when the causes that produced a given effect must be determined or when one seeks to indirectly estimate the parameters of a physical system. The )] TJ ET
BT 34.016 185.881 Td /F1 7.5 Tf [(author uses practical examples to illustrate inverse problems in physical sciences. He presents the techniques and specific methods chosen to solve inverse )] TJ ET
BT 34.016 176.723 Td /F1 7.5 Tf [(problems in a general domain of application, choosing to focus on a small number of methods that can be used in most applications. This book is aimed at )] TJ ET
BT 34.016 167.566 Td /F1 7.5 Tf [(readers with a mathematical and scientific computing background. Despite this, it is a book with a practical perspective. The methods described are )] TJ ET
BT 34.016 158.408 Td /F1 7.5 Tf [(applicable, have been applied, and are often illustrated by numerical examples.)] TJ ET
BT 34.016 149.251 Td /F1 7.5 Tf [(Introduction to Inverse Problems for Differential Equations)] TJ ET
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BT 226.181 149.251 Td /F1 7.5 Tf [( Alemdar Hasanov Hasano?lu 2017-07-31 This book presents a systematic exposition of the main )] TJ ET
BT 34.016 140.093 Td /F1 7.5 Tf [(ideas and methods in treating inverse problems for PDEs arising in basic mathematical models, though it makes no claim to being exhaustive. Mathematical )] TJ ET
BT 34.016 130.936 Td /F1 7.5 Tf [(models of most physical phenomena are governed by initial and boundary value problems for PDEs, and inverse problems governed by these equations arise )] TJ ET
BT 34.016 121.778 Td /F1 7.5 Tf [(naturally in nearly all branches of science and engineering. The book’s content, especially in the Introduction and Part I, is self-contained and is intended to )] TJ ET
BT 34.016 112.621 Td /F1 7.5 Tf [(also be accessible for beginning graduate students, whose mathematical background includes only basic courses in advanced calculus, PDEs and functional )] TJ ET
BT 34.016 103.463 Td /F1 7.5 Tf [(analysis. Further, the book can be used as the backbone for a lecture course on inverse and ill-posed problems for partial differential equations. In turn, the )] TJ ET
BT 34.016 94.306 Td /F1 7.5 Tf [(second part of the book consists of six nearly-independent chapters. The choice of these chapters was motivated by the fact that the inverse coefficient and )] TJ ET
BT 34.016 85.148 Td /F1 7.5 Tf [(source problems considered here are based on the basic and commonly used mathematical models governed by PDEs. These chapters describe not only )] TJ ET
BT 34.016 75.991 Td /F1 7.5 Tf [(these inverse problems, but also main inversion methods and techniques. Since the most distinctive features of any inverse problems related to PDEs are )] TJ ET
BT 34.016 66.833 Td /F1 7.5 Tf [(hidden in the properties of the corresponding solutions to direct problems, special attention is paid to the investigation of these properties.)] TJ ET
BT 34.016 57.676 Td /F1 7.5 Tf [(Learning Robust Data-driven Methods for Inverse Problems and Change Detection)] TJ ET
0.15 w 0 J [ ] 0 d
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BT 308.718 57.676 Td /F1 7.5 Tf [( Davis Leland Gilton 2021 The field of image reconstruction and inverse )] TJ ET
BT 34.016 48.518 Td /F1 7.5 Tf [(problems in imaging have been revolutionized by the introduction of methods which learn to solve inverse problems. This thesis investigates a variety of )] TJ ET
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BT 34.016 378.188 Td /F1 7.5 Tf [(methods for learning to solve inverse problems by leveraging data: first by exploring the online sparse linear bandit setting, and then by investigating modern )] TJ ET
BT 34.016 369.031 Td /F1 7.5 Tf [(methods for leveraging training data to learn to solve inverse problems. In addition, this thesis explores a multi-model method of leveraging human )] TJ ET
BT 34.016 359.873 Td /F1 7.5 Tf [(descriptions of change in time series of images to regularize a graph-cut-based change-point detection method. Recent research into learning to solve inverse )] TJ ET
BT 34.016 350.716 Td /F1 7.5 Tf [(problems has been dominated by "unrolled optimization" approaches, which unroll a fixed number of iterations of an iterative optimization algorithm, replacing )] TJ ET
BT 34.016 341.558 Td /F1 7.5 Tf [(one or more elements of that algorithm with a neural network. These methods have several attractive properties: they can leverage even limited training data )] TJ ET
BT 34.016 332.401 Td /F1 7.5 Tf [(to learn accurate reconstructions, they tend to have lower runtime and require fewer iterations than more standard methods which leverage non-learned )] TJ ET
BT 34.016 323.243 Td /F1 7.5 Tf [(regularizers, and they are simple to implement and understand. However, learned iterative methods, like most learned inverse problem solvers, are sensitive )] TJ ET
BT 34.016 314.086 Td /F1 7.5 Tf [(to small changes in the data measurement model; they are uninterpretable, suffering reduced reconstruction quality if run for more or fewer iterations than )] TJ ET
BT 34.016 304.928 Td /F1 7.5 Tf [(were used at train time; and they are limited by memory and numerical constraints to small numbers of iterations, potentially lowering the ceiling for best )] TJ ET
BT 34.016 295.771 Td /F1 7.5 Tf [(available reconstruction quality using these methods. This thesis proposes an alternative architecture design based on a Neumann series, which is attractive )] TJ ET
BT 34.016 286.613 Td /F1 7.5 Tf [(from a practical perspective for its sample complexity performance and ease to train compared to methods based on unrolled iterative optimization. In )] TJ ET
BT 34.016 277.456 Td /F1 7.5 Tf [(addition, this thesis proposes and tests two techniques to adapt arbitrary trained inverse problem solvers to different measurement models, enabling )] TJ ET
BT 34.016 268.298 Td /F1 7.5 Tf [(deployment of a single learned model on a variety of forward models without sacrificing performance or requiring potentially-costly new data. Finally, this )] TJ ET
BT 34.016 259.141 Td /F1 7.5 Tf [(thesis demonstrates how to train iterative solvers that are unrolled for an arbitrary number of iterations. The proposed technique for the first time permits deep )] TJ ET
BT 34.016 249.983 Td /F1 7.5 Tf [(iterative solvers that admit practical convergence guarantees, while allowing flexibility in trading off computation for performance.)] TJ ET
BT 34.016 240.826 Td /F1 7.5 Tf [(Keine Probleme mit Inversen Problemen)] TJ ET
BT 168.648 240.826 Td /F1 7.5 Tf [( Andreas Rieder 2013-03-07 Inverse Probleme treten in der heutigen Hochtechnologie häufig auf. Immer wenn man )] TJ ET
BT 34.016 231.668 Td /F1 7.5 Tf [(von einer beobachteten \(gemessenen\) WIRKUNG auf deren URSACHE schließen möchte, liegt ein inverses Problem vor. So wird in der Computer-)] TJ ET
BT 34.016 222.511 Td /F1 7.5 Tf [(Tomographie die Abminderung von Röntgenstrahlen gemessen beim Durchgang durch ein Objekt \(z.B. menschlicher Körper\). Die Ursache der Abminderung )] TJ ET
BT 34.016 213.353 Td /F1 7.5 Tf [(ist die Dichte des Objekts. Ein anderes Beispiel stellt die Ultraschall-Tomographie dar: Hier wird die Streuung von Schallwellen an einem Objekt beobachtet, )] TJ ET
BT 34.016 204.196 Td /F1 7.5 Tf [(hervorgerufen durch die Form des Objekts, auf die man schließen möchte. Aus mathematischer Sicht bestehen inverse Probleme darin, Operatorgleichungen )] TJ ET
BT 34.016 195.038 Td /F1 7.5 Tf [(zu lösen. Das vorliegende Lehrbuch führt umfassend ein in die mathematischen Grundlagen zur stabilen Lösung inverser Probleme, zielt dabei aber auch auf )] TJ ET
BT 34.016 185.881 Td /F1 7.5 Tf [(konkrete Anwendungen ab.)] TJ ET
BT 34.016 176.723 Td /F1 7.5 Tf [(Einführung in die Funktionalanalysis)] TJ ET
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BT 154.068 176.723 Td /F1 7.5 Tf [( Christian Clason 2019-10-07 Funktionalanalysis hat sich in den letzten Jahrzehnten zu einer der wesentlichen )] TJ ET
BT 34.016 167.566 Td /F1 7.5 Tf [(Grundlagen der modernen angewandten Mathematik entwickelt, von der Theorie und Numerik von Differentialgleichungen über Optimierung und )] TJ ET
BT 34.016 158.408 Td /F1 7.5 Tf [(Wahrscheinlichkeitstheorie bis zu medizinischer Bildgebung und mathematischer Bildverarbeitung. Das vorliegende Lehrbuch bietet eine kompakte )] TJ ET
BT 34.016 149.251 Td /F1 7.5 Tf [(Einführung in die Theorie und ist begleitend für eine vierstündige Vorlesung im Bachelorstudium konzipiert. Es spannt den Bogen von den topologischen )] TJ ET
BT 34.016 140.093 Td /F1 7.5 Tf [(Grundlagen aus der Analysis-Grundvorlesung bis zur Spektraltheorie in Hilberträumen; besondere Aufmerksamkeit wird dabei den zentralen Resultaten über )] TJ ET
BT 34.016 130.936 Td /F1 7.5 Tf [(Dualräume und schwache Konvergenz geschenkt.)] TJ ET
BT 34.016 121.778 Td /F1 7.5 Tf [(Complex Systems in Biomedicine)] TJ ET
BT 145.293 121.778 Td /F1 7.5 Tf [( A. Quarteroni 2007-03-20 Mathematicalmodelingofhumanphysiopathologyisatremendouslyambitioustask. It encompasses )] TJ ET
BT 34.016 112.621 Td /F1 7.5 Tf [(the modeling of most diverse compartments such as the cardiovas- lar,respiratory,skeletalandnervoussystems,aswellasthemechanicalandbioch- ical )] TJ ET
BT 34.016 103.463 Td /F1 7.5 Tf [(interaction between blood ?ow and arterial walls, and electrocardiac processes and electric conduction in biological tissues. Mathematical models can be set )] TJ ET
BT 34.016 94.306 Td /F1 7.5 Tf [(up to simulate both vasculogenesis \(the aggregation and organization of endothelial cells dispersed in a given environment\) and angiogenesis \(the formation )] TJ ET
BT 34.016 85.148 Td /F1 7.5 Tf [(of new vessels sprouting from an existing vessel\) that are relevant to the formation of vascular networks, and in particular to the description of tumor growth. )] TJ ET
BT 34.016 75.991 Td /F1 7.5 Tf [(The integration of models aimed at simulating the cooperation and interrelation of different systems is an even more dif?cult task. It calls for the setting up of, )] TJ ET
BT 34.016 66.833 Td /F1 7.5 Tf [(for instance, interaction models for the integrated cardio-vascular system and the interplay between the central circulation and peripheral compartments, )] TJ ET
BT 34.016 57.676 Td /F1 7.5 Tf [(models for the mid-to-long range cardiovascular adjustments to pathological conditions \(e.g., to account for surgical interventions, congenital malformations, )] TJ ET
BT 34.016 48.518 Td /F1 7.5 Tf [(or tumor growth\), models for integration among circulation, tissue perfusion, biochemical and thermal regulation, models for parameter identi?cation and )] TJ ET
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BT 34.016 378.188 Td /F1 7.5 Tf [(sensitivity analysis to parameter changes or data uncertainty – and many others.)] TJ ET
BT 34.016 369.031 Td /F1 7.5 Tf [(Optimization Techniques in Computer Vision)] TJ ET
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BT 181.983 369.031 Td /F1 7.5 Tf [( Mongi A. Abidi 2016-12-06 This book presents practical optimization techniques used in image processing and )] TJ ET
BT 34.016 359.873 Td /F1 7.5 Tf [(computer vision problems. Ill-posed problems are introduced and used as examples to show how each type of problem is related to typical image processing )] TJ ET
BT 34.016 350.716 Td /F1 7.5 Tf [(and computer vision problems. Unconstrained optimization gives the best solution based on numerical minimization of a single, scalar-valued objective )] TJ ET
BT 34.016 341.558 Td /F1 7.5 Tf [(function or cost function. Unconstrained optimization problems have been intensively studied, and many algorithms and tools have been developed to solve )] TJ ET
BT 34.016 332.401 Td /F1 7.5 Tf [(them. Most practical optimization problems, however, arise with a set of constraints. Typical examples of constraints include: \(i\) pre-specified pixel intensity )] TJ ET
BT 34.016 323.243 Td /F1 7.5 Tf [(range, \(ii\) smoothness or correlation with neighboring information, \(iii\) existence on a certain contour of lines or curves, and \(iv\) given statistical or spectral )] TJ ET
BT 34.016 314.086 Td /F1 7.5 Tf [(characteristics of the solution. Regularized optimization is a special method used to solve a class of constrained optimization problems. The term )] TJ ET
BT 34.016 304.928 Td /F1 7.5 Tf [(regularization refers to the transformation of an objective function with constraints into a different objective function, automatically reflecting constraints in the )] TJ ET
BT 34.016 295.771 Td /F1 7.5 Tf [(unconstrained minimization process. Because of its simplicity and efficiency, regularized optimization has many application areas, such as image restoration, )] TJ ET
BT 34.016 286.613 Td /F1 7.5 Tf [(image reconstruction, optical flow estimation, etc. Optimization plays a major role in a wide variety of theories for image processing and computer vision. )] TJ ET
BT 34.016 277.456 Td /F1 7.5 Tf [(Various optimization techniques are used at different levels for these problems, and this volume summarizes and explains these techniques as applied to )] TJ ET
BT 34.016 268.298 Td /F1 7.5 Tf [(image processing and computer vision.)] TJ ET
BT 34.016 259.141 Td /F1 7.5 Tf [(Introduction to Inverse Problems in Imaging,)] TJ ET
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34.016 257.903 m 180.746 257.903 l S
BT 180.746 259.141 Td /F1 7.5 Tf [( Mario Bertero 1998-01-01 This is a graduate textbook on the principles of linear inverse problems, methods of )] TJ ET
BT 34.016 249.983 Td /F1 7.5 Tf [(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 )] TJ ET
BT 34.016 240.826 Td /F1 7.5 Tf [(wide range of readers from different backgrounds in science and engineering. Mathematical prerequisites are first courses in analysis, geometry, linear )] TJ ET
BT 34.016 231.668 Td /F1 7.5 Tf [(algebra, probability theory and Fourier analysis. The authors concentrate on presenting easily implementable and fast solution algorithms. The book will )] TJ ET
BT 34.016 222.511 Td /F1 7.5 Tf [(provide the reader with the appropriate background for a clear understanding of the essence of inverse problems \(ill-posedness and its cure\) and, )] TJ ET
BT 34.016 213.353 Td /F1 7.5 Tf [(consequently, for an intelligent assessment of the rapidly growing literature on these problems.)] TJ ET
BT 34.016 204.196 Td /F1 7.5 Tf [(Proceedings of the Conference Inverse Problems and Optimal Design in Industry)] TJ ET
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34.016 202.958 m 302.463 202.958 l S
BT 302.463 204.196 Td /F1 7.5 Tf [( Heinz Engl 2013-07-02 )] TJ ET
BT 34.016 195.038 Td /F1 7.5 Tf [(Introduction to Inverse Problems in Imaging)] TJ ET
BT 178.661 195.038 Td /F1 7.5 Tf [( M. Bertero 2020-08-30 This is a graduate textbook on the principles of linear inverse problems, methods of their )] TJ ET
BT 34.016 185.881 Td /F1 7.5 Tf [(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 )] TJ ET
BT 34.016 176.723 Td /F1 7.5 Tf [(range of readers from different backgrounds in science and engineering. Mathematical prerequisites are first courses in analysis, geometry, linear algebra, )] TJ ET
BT 34.016 167.566 Td /F1 7.5 Tf [(probability theory, and Fourier analysis. The authors concentrate on presenting easily implementable and fast solution algorithms. With examples and )] TJ ET
BT 34.016 158.408 Td /F1 7.5 Tf [(exercises throughout, the book will provide the reader with the appropriate background for a clear understanding of the essence of inverse problems \(ill-)] TJ ET
BT 34.016 149.251 Td /F1 7.5 Tf [(posedness and its cure\) and, consequently, for an intelligent assessment of the rapidly growing literature on these problems.)] TJ ET
BT 34.016 140.093 Td /F1 7.5 Tf [(Inverse Methods in Action)] TJ ET
BT 120.303 140.093 Td /F1 7.5 Tf [( Pierre C. Sabatier 2012-12-06 This volume contains the Proceedings of a meeting held at Montpellier from November 27th to )] TJ ET
BT 34.016 130.936 Td /F1 7.5 Tf [(December 1st 1989 and entitled "Inverse Problems Multicen tennials Meeting". It was held in honor of two major centennials: the foundation of Montpellier )] TJ ET
BT 34.016 121.778 Td /F1 7.5 Tf [(University in 1289 and the French Revolution of 1789. The meet ing was one of a series of annual meetings on interdisciplinary aspects of inverse problems )] TJ ET
BT 34.016 112.621 Td /F1 7.5 Tf [(organized in Montpellier since 1972 and known as "RCP 264". The meeting was sponsored by the Centre National de la Recherche Scientifique \(con tract GR )] TJ ET
BT 34.016 103.463 Td /F1 7.5 Tf [(264\) and by the Direction des Recherches et Etudes Techniques \(contract 88 CO 283\). The Proceedings are presented by chapters on different topics, the )] TJ ET
BT 34.016 94.306 Td /F1 7.5 Tf [(choice of topic often being arbitrary. The chapter titles are "Tomographic Inverse Problems", "Distributed Parameters Inverse Problems", "Spectral Inverse )] TJ ET
BT 34.016 85.148 Td /F1 7.5 Tf [(Problems \(Exact Methods\)", "Theoretical hnaging", "Wave Propagation and Scattering Problems \(hnaging and Numerical Methods\)", "Miscellaneous )] TJ ET
BT 34.016 75.991 Td /F1 7.5 Tf [(Problems", "Inverse Methods and Applications to Nonlinear Problems". In each chapter but the first, the papers have been sorted alphabetically according to )] TJ ET
BT 34.016 66.833 Td /F1 7.5 Tf [(author*. In the first chapter, a set of theoretical papers is presented first, then more applied ones. There are so many well-known and excellent lectures that I )] TJ ET
BT 34.016 57.676 Td /F1 7.5 Tf [(will not try to refer to them all here \(the reader will be easily convinced by reading the Table of Contents\). My comments at the conference are summarized by )] TJ ET
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BT 34.016 378.188 Td /F1 7.5 Tf [(the short scientific introduction at the beginning of the volume.)] TJ ET
BT 34.016 369.031 Td /F1 7.5 Tf [(Advances in Imaging and Electron Physics)] TJ ET
BT 175.743 369.031 Td /F1 7.5 Tf [( Peter W. Hawkes 2003-12-02 The subjects reviewed in the 'Advances' series cover a broad range of themes )] TJ ET
BT 34.016 359.873 Td /F1 7.5 Tf [(including microscopy, electromagnetic fields and image coding. Volume 128 concentrates on regularization, a vital aspect of restoration on low voltage )] TJ ET
BT 34.016 350.716 Td /F1 7.5 Tf [(scanning electron microscopy. This Book looks at theory and it's application in a practical sense, with a full account of the methods used and realistic detailed )] TJ ET
BT 34.016 341.558 Td /F1 7.5 Tf [(application. The authors do this by examining the latest developments, historic illustrations and mathematical fundamentals of the exciting developments in )] TJ ET
BT 34.016 332.401 Td /F1 7.5 Tf [(imaging and applying them to realistic practical situations The text bridges the gap between academic researchers and R&D designers by addressing and )] TJ ET
BT 34.016 323.243 Td /F1 7.5 Tf [(solving daily issues, which makes this book essential reading. · Emphasizes broad and in depth article collaborations between world-renowned scientists in )] TJ ET
BT 34.016 314.086 Td /F1 7.5 Tf [(the field of image and electron physics · Presents theory and it's application in a practical sense, providing long awaited solutions and new findings · Bridges )] TJ ET
BT 34.016 304.928 Td /F1 7.5 Tf [(the gap between academic researchers and practitioners in industry)] TJ ET
BT 34.016 295.771 Td /F1 7.5 Tf [(Integrated Imaging of the Earth)] TJ ET
BT 137.411 295.771 Td /F1 7.5 Tf [( Max Moorkamp 2016-03-23 Reliable and detailed information about the Earth’s subsurface is of crucial importance throughout )] TJ ET
BT 34.016 286.613 Td /F1 7.5 Tf [(the geosciences. Quantitative integration of all available geophysical and geological data helps to make Earth models more robust and reliable. The aim of )] TJ ET
BT 34.016 277.456 Td /F1 7.5 Tf [(this book is to summarize and synthesize the growing literature on combining various types of geophysical and other geoscientific data. The approaches that )] TJ ET
BT 34.016 268.298 Td /F1 7.5 Tf [(have been developed to date encompass joint inversion, cooperative inversion, and statistical post-inversion analysis methods, each with different benefits )] TJ ET
BT 34.016 259.141 Td /F1 7.5 Tf [(and assumptions. Starting with the foundations of inverse theory, this book systematically describes the mathematical and theoretical aspects of how to best )] TJ ET
BT 34.016 249.983 Td /F1 7.5 Tf [(integrate different geophysical datasets with geological prior understanding and other complimentary data. This foundational basis is followed by chapters that )] TJ ET
BT 34.016 240.826 Td /F1 7.5 Tf [(demonstrate the diverse range of applications for which integrated methods have been used to date. These range from imaging the hydrogeological properties )] TJ ET
BT 34.016 231.668 Td /F1 7.5 Tf [(of the near-surface to natural resource exploration and probing the composition of the lithosphere and the deep Earth. Each chapter is written by leading )] TJ ET
BT 34.016 222.511 Td /F1 7.5 Tf [(experts in the field, which makes this book the definitive reference on integrated imaging of the Earth. Highlights of this volume include: Complete coverage of )] TJ ET
BT 34.016 213.353 Td /F1 7.5 Tf [(the theoretical foundations of integrated imaging approaches from inverse theory to different coupling methods and quantitative evaluation of the resulting )] TJ ET
BT 34.016 204.196 Td /F1 7.5 Tf [(models Comprehensive overview of current applications of integrated imaging including hydrological investigations, natural resource exploration, and imaging )] TJ ET
BT 34.016 195.038 Td /F1 7.5 Tf [(the deep Earth Detailed case studies of integrated approaches providing valuable guidance for both experienced users and researchers new to joint inversion. )] TJ ET
BT 34.016 185.881 Td /F1 7.5 Tf [(This volume will be a valuable resource for graduate students, academics, industry practitioners, and researchers who are interested in using or developing )] TJ ET
BT 34.016 176.723 Td /F1 7.5 Tf [(integrated imaging approaches.)] TJ ET
BT 34.016 167.566 Td /F1 7.5 Tf [(The Radon Transform and Medical Imaging)] TJ ET
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34.016 166.328 m 178.653 166.328 l S
BT 178.653 167.566 Td /F1 7.5 Tf [( Peter Kuchment 2014-03-20 This book surveys the main mathematical ideas and techniques behind some well-)] TJ ET
BT 34.016 158.408 Td /F1 7.5 Tf [(established imaging modalities such as X-ray CT and emission tomography, as well as a variety of newly developing coupled-physics or hybrid techniques, )] TJ ET
BT 34.016 149.251 Td /F1 7.5 Tf [(including thermoacoustic tomography. The Radon Transform and Medical Imaging emphasizes mathematical techniques and ideas arising across the )] TJ ET
BT 34.016 140.093 Td /F1 7.5 Tf [(spectrum of medical imaging modalities and explains important concepts concerning inversion, stability, incomplete data effects, the role of interior )] TJ ET
BT 34.016 130.936 Td /F1 7.5 Tf [(information, and other issues critical to all medical imaging methods. For nonexperts, the author provides appendices that cover background information on )] TJ ET
BT 34.016 121.778 Td /F1 7.5 Tf [(notation, Fourier analysis, geometric rays, and linear operators. The vast bibliography, with over 825 entries, directs readers to a wide array of additional )] TJ ET
BT 34.016 112.621 Td /F1 7.5 Tf [(information sources on medical imaging for further study.)] TJ ET
BT 34.016 103.463 Td /F1 7.5 Tf [(Inverse Modelling)] TJ ET
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34.016 102.226 m 92.786 102.226 l S
BT 92.786 103.463 Td /F1 7.5 Tf [( Gen Nakamura 2016-01-31 The book provides a concise introduction into inverse modeling, i.e the theory and methods of inverse problems )] TJ ET
BT 34.016 94.306 Td /F1 7.5 Tf [(and data assimilation. Inverse problems are widely spread today in science and technology, ranging from data analysis and modeling in science to remote )] TJ ET
BT 34.016 85.148 Td /F1 7.5 Tf [(sensing in industrial and natural applications as well as medical imaging and non-destructive testing. Further applications come from the data assimilation )] TJ ET
BT 34.016 75.991 Td /F1 7.5 Tf [(task, i.e. the use of inverse methods to control dynamical systems and provide initial states for forecasting, which is of central importance in weather and )] TJ ET
BT 34.016 66.833 Td /F1 7.5 Tf [(climate science and an emerging technique in neuroscience and medicine.)] TJ ET
BT 34.016 57.676 Td /F1 7.5 Tf [(The Limits of Resolution)] TJ ET
BT 114.461 57.676 Td /F1 7.5 Tf [( Geoffrey de Villiers 2016-10-03 "This beautiful book can be read as a novel presenting carefully our quest to get more and more )] TJ ET
BT 34.016 48.518 Td /F1 7.5 Tf [(information from our observations and measurements. Its authors are particularly good at relating it." --Pierre C. Sabatier "This is a unique text - a labor of love )] TJ ET
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BT 34.016 378.188 Td /F1 7.5 Tf [(pulling together for the first time the remarkably large array of mathematical and statistical techniques used for analysis of resolution in many systems of )] TJ ET
BT 34.016 369.031 Td /F1 7.5 Tf [(importance today – optical, acoustical, radar, etc.... I believe it will find widespread use and value." --Dr. Robert G.W. Brown, Chief Executive Officer, )] TJ ET
BT 34.016 359.873 Td /F1 7.5 Tf [(American Institute of Physics "The mix of physics and mathematics is a unique feature of this book which can be basic not only for PhD students but also for )] TJ ET
BT 34.016 350.716 Td /F1 7.5 Tf [(researchers in the area of computational imaging." --Mario Bertero, Professor, University of Geneva "a tour-de-force covering aspects of history, mathematical )] TJ ET
BT 34.016 341.558 Td /F1 7.5 Tf [(theory and practical applications. The authors provide a penetrating insight into the often confused topic of resolution and in doing offer a unifying approach to )] TJ ET
BT 34.016 332.401 Td /F1 7.5 Tf [(the subject that is applicable not only to traditional optical systems but also modern day, computer-based systems such as radar and RF communications." --)] TJ ET
BT 34.016 323.243 Td /F1 7.5 Tf [(Prof. Ian Proudler, Loughborough University "a ‘must have’ for anyone interested in imaging and the spatial resolution of images. This book provides detailed )] TJ ET
BT 34.016 314.086 Td /F1 7.5 Tf [(and very readable account of resolution in imaging and organizes the recent history of the subject in excellent fashion.... I strongly recommend it." --Michael )] TJ ET
BT 34.016 304.928 Td /F1 7.5 Tf [(A.? Fiddy, Professor, University of North Carolina at Charlotte This book brings together the concept of resolution, which limits what we can determine about )] TJ ET
BT 34.016 295.771 Td /F1 7.5 Tf [(our physical world, with the theory of linear inverse problems, emphasizing practical applications. The book focuses on methods for solving illposed problems )] TJ ET
BT 34.016 286.613 Td /F1 7.5 Tf [(that do not have unique stable solutions. After introducing basic concepts, the contents address problems with "continuous" data in detail before turning to )] TJ ET
BT 34.016 277.456 Td /F1 7.5 Tf [(cases of discrete data sets. As one of the unifying principles of the text, the authors explain how non-uniqueness is a feature of measurement problems in )] TJ ET
BT 34.016 268.298 Td /F1 7.5 Tf [(science where precision and resolution is essentially always limited by some kind of noise.)] TJ ET
BT 34.016 259.141 Td /F1 7.5 Tf [(Inverse Problems and Imaging)] TJ ET
BT 135.723 259.141 Td /F1 7.5 Tf [( Luis L. Bonilla 2009-06-19 Nowadays we are facing numerous and important imaging problems: nondestructive testing of )] TJ ET
BT 34.016 249.983 Td /F1 7.5 Tf [(materials, monitoring of industrial processes, enhancement of oil production by efficient reservoir characterization, emerging developments in noninvasive )] TJ ET
BT 34.016 240.826 Td /F1 7.5 Tf [(imaging techniques for medical purposes - computerized tomography \(CT\), magnetic resonance imaging \(MRI\), positron emission tomography \(PET\), X-ray )] TJ ET
BT 34.016 231.668 Td /F1 7.5 Tf [(and ultrasound tomography, etc. In the CIME Summer School on Imaging \(Martina Franca, Italy 2002\), leading experts in mathematical techniques and )] TJ ET
BT 34.016 222.511 Td /F1 7.5 Tf [(applications presented broad and useful introductions for non-experts and practitioners alike to many aspects of this exciting field. The volume contains part of )] TJ ET
BT 34.016 213.353 Td /F1 7.5 Tf [(the above lectures completed and updated by additional contributions on other related topics.)] TJ ET
BT 34.016 204.196 Td /F1 7.5 Tf [(An Introduction to Data Analysis and Uncertainty Quantification for Inverse Problems)] TJ ET
BT 314.553 204.196 Td /F1 7.5 Tf [( Luis Tenorio 2017-07-06 Inverse problems are found in many )] TJ ET
BT 34.016 195.038 Td /F1 7.5 Tf [(applications, such as medical imaging, engineering, astronomy, and geophysics, among others. To solve an inverse problem is to recover an object from )] TJ ET
BT 34.016 185.881 Td /F1 7.5 Tf [(noisy, usually indirect observations. Solutions to inverse problems are subject to many potential sources of error introduced by approximate mathematical )] TJ ET
BT 34.016 176.723 Td /F1 7.5 Tf [(models, regularization methods, numerical approximations for efficient computations, noisy data, and limitations in the number of observations; thus it is )] TJ ET
BT 34.016 167.566 Td /F1 7.5 Tf [(important to include an assessment of the uncertainties as part of the solution. Such assessment is interdisciplinary by nature, as it requires, in addition to )] TJ ET
BT 34.016 158.408 Td /F1 7.5 Tf [(knowledge of the particular application, methods from applied mathematics, probability, and statistics. This book bridges applied mathematics and statistics by )] TJ ET
BT 34.016 149.251 Td /F1 7.5 Tf [(providing a basic introduction to probability and statistics for uncertainty quantification in the context of inverse problems, as well as an introduction to )] TJ ET
BT 34.016 140.093 Td /F1 7.5 Tf [(statistical regularization of inverse problems. The author covers basic statistical inference, introduces the framework of ill-posed inverse problems, and )] TJ ET
BT 34.016 130.936 Td /F1 7.5 Tf [(explains statistical questions that arise in their applications. An Introduction to Data Analysis and Uncertainty Quantification for Inverse Problems÷includes )] TJ ET
BT 34.016 121.778 Td /F1 7.5 Tf [(many examples that explain techniques which are useful to address general problems arising in uncertainty quantification, Bayesian and non-Bayesian )] TJ ET
BT 34.016 112.621 Td /F1 7.5 Tf [(statistical methods and discussions of their complementary roles, and analysis of a real data set to illustrate the methodology covered throughout the book.)] TJ ET
BT 34.016 103.463 Td /F1 7.5 Tf [(Introduction to Imaging from Scattered Fields)] TJ ET
BT 183.663 103.463 Td /F1 7.5 Tf [( Michael A Fiddy 2014-11-10 Obtain the Best Estimate of a Strongly Scattering Object from Limited Scattered )] TJ ET
BT 34.016 94.306 Td /F1 7.5 Tf [(Field Data Introduction to Imaging from Scattered Fields presents an overview of the challenging problem of determining information about an object from )] TJ ET
BT 34.016 85.148 Td /F1 7.5 Tf [(measurements of the field scattered from that object. It covers widely used approaches to recover information about the objects and examines the )] TJ ET
BT 34.016 75.991 Td /F1 7.5 Tf [(assumptions made a priori about the object and the consequences of recovering object information from limited numbers of noisy measurements of the )] TJ ET
BT 34.016 66.833 Td /F1 7.5 Tf [(scattered fields. The book explores the strengths and weaknesses of using inverse methods for weak scattering. These methods, including Fourier-based )] TJ ET
BT 34.016 57.676 Td /F1 7.5 Tf [(signal and image processing techniques, allow more straightforward inverse algorithms to be exploited based on a simple mapping of scattered field data. The )] TJ ET
BT 34.016 48.518 Td /F1 7.5 Tf [(authors also discuss their recent approach based on a nonlinear filtering step in the inverse algorithm. They illustrate how to use this algorithm through )] TJ ET
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BT 34.016 378.188 Td /F1 7.5 Tf [(numerous two-dimensional electromagnetic scattering examples. MATLAB® code is provided to help readers quickly apply the approach to a wide variety of )] TJ ET
BT 34.016 369.031 Td /F1 7.5 Tf [(inverse scattering problems. In later chapters of the book, the authors focus on important and often forgotten overarching constraints associated with )] TJ ET
BT 34.016 359.873 Td /F1 7.5 Tf [(exploiting inverse scattering algorithms. They explain how the number of degrees of freedom associated with any given scattering experiment can be found )] TJ ET
BT 34.016 350.716 Td /F1 7.5 Tf [(and how this allows one to specify a minimum number of data that should be measured. They also describe how the prior discrete Fourier transform \(PDFT\) )] TJ ET
BT 34.016 341.558 Td /F1 7.5 Tf [(algorithm helps in estimating the properties of an object from scattered field measurements. The PDFT restores stability and improves estimates of the object )] TJ ET
BT 34.016 332.401 Td /F1 7.5 Tf [(even with severely limited data \(provided it is sufficient to meet a criterion based on the number of degrees of freedom\). Suitable for graduate students and )] TJ ET
BT 34.016 323.243 Td /F1 7.5 Tf [(researchers working on medical, geophysical, defense, and industrial inspection inverse problems, this self-contained book provides the necessary details for )] TJ ET
BT 34.016 314.086 Td /F1 7.5 Tf [(readers to design improved experiments and process measured data more effectively. It shows how to obtain the best estimate of a strongly scattering object )] TJ ET
BT 34.016 304.928 Td /F1 7.5 Tf [(from limited scattered field data.)] TJ ET
BT 34.016 295.771 Td /F1 7.5 Tf [(Optimization and Geophysical Inverse Problems)] TJ ET
BT 194.073 295.771 Td /F1 7.5 Tf [( 2000 A fundamental part of geophysics is to make inferences about the interior of the earth on the basis of )] TJ ET
BT 34.016 286.613 Td /F1 7.5 Tf [(data collected at or near the surface of the earth. In almost all cases these measured data are only indirectly related to the properties of the earth that are of )] TJ ET
BT 34.016 277.456 Td /F1 7.5 Tf [(interest, so an inverse problem must be solved in order to obtain estimates of the physical properties within the earth. In February of 1999 the U.S. )] TJ ET
BT 34.016 268.298 Td /F1 7.5 Tf [(Department of Energy sponsored a workshop that was intended to examine the methods currently being used to solve geophysical inverse problems and to )] TJ ET
BT 34.016 259.141 Td /F1 7.5 Tf [(consider what new approaches should be explored in the future. The interdisciplinary area between inverse problems in geophysics and optimization methods )] TJ ET
BT 34.016 249.983 Td /F1 7.5 Tf [(in mathematics was specifically targeted as one where an interchange of ideas was likely to be fruitful. Thus about half of the participants were actively )] TJ ET
BT 34.016 240.826 Td /F1 7.5 Tf [(involved in solving geophysical inverse problems and about half were actively involved in research on general optimization methods. This report presents )] TJ ET
BT 34.016 231.668 Td /F1 7.5 Tf [(some of the topics that were explored at the workshop and the conclusions that were reached. In general, the objective of a geophysical inverse problem is to )] TJ ET
BT 34.016 222.511 Td /F1 7.5 Tf [(find an earth model, described by a set of physical parameters, that is consistent with the observational data. It is usually assumed that the forward problem, )] TJ ET
BT 34.016 213.353 Td /F1 7.5 Tf [(that of calculating simulated data for an earth model, is well enough understood so that reasonably accurate synthetic data can be generated for an arbitrary )] TJ ET
BT 34.016 204.196 Td /F1 7.5 Tf [(model. The inverse problem is then posed as an optimization problem, where the function to be optimized is variously called the objective function, misfit )] TJ ET
BT 34.016 195.038 Td /F1 7.5 Tf [(function, or fitness function. The objective function is typically some measure of the difference between observational data and synthetic data calculated for a )] TJ ET
BT 34.016 185.881 Td /F1 7.5 Tf [(trial model. However, because of incomplete and inaccurate data, the objective function often incorporates some additional form of regularization, such as a )] TJ ET
BT 34.016 176.723 Td /F1 7.5 Tf [(measure of smoothness or distance from a prior model. Various other constraints may also be imposed upon the process. Inverse problems are not restricted )] TJ ET
BT 34.016 167.566 Td /F1 7.5 Tf [(to geophysics, but can be found in a wide variety of disciplines where inferences must be made on the basis of indirect measurements. For instance, most )] TJ ET
BT 34.016 158.408 Td /F1 7.5 Tf [(imaging problems, whether in the field of medicine or non-destructive evaluation, require the solution of an inverse problem. In this report, however, the )] TJ ET
BT 34.016 149.251 Td /F1 7.5 Tf [(examples used for illustration are taken exclusively from the field of geophysics. The generalization of these examples to other disciplines should be )] TJ ET
BT 34.016 140.093 Td /F1 7.5 Tf [(straightforward, as all are based on standard second-order partial differential equations of physics. In fact, sometimes the non-geophysical inverse problems )] TJ ET
BT 34.016 130.936 Td /F1 7.5 Tf [(are significantly easier to treat \(as in medical imaging\) because the limitations on data collection, and in particular on multiple views, are not so severe as they )] TJ ET
BT 34.016 121.778 Td /F1 7.5 Tf [(generally are in geophysics. This report begins with an introduction to geophysical inverse problems by briefly describing four canonical problems that are )] TJ ET
BT 34.016 112.621 Td /F1 7.5 Tf [(typical of those commonly encountered in geophysics. Next the connection with optimization methods is made by presenting a general formulation of )] TJ ET
BT 34.016 103.463 Td /F1 7.5 Tf [(geophysical inverse problems. This leads into the main subject of this report, a discussion of methods for solving such problems with an emphasis upon newer )] TJ ET
BT 34.016 94.306 Td /F1 7.5 Tf [(approaches that have not yet become prominent in geophysics. A separate section is devoted to a subject that is not encountered in all optimization problems )] TJ ET
BT 34.016 85.148 Td /F1 7.5 Tf [(but is particularly important in geophysics, the need for a careful appraisal of the results in terms of their resolution and uncertainty. The impact on geophysical )] TJ ET
BT 34.016 75.991 Td /F1 7.5 Tf [(inverse problems of continuously improving computational resources is then discussed. The main results are then brought together in a final summary and )] TJ ET
BT 34.016 66.833 Td /F1 7.5 Tf [(conclusions section.)] TJ ET
BT 34.016 57.676 Td /F1 7.5 Tf [(Modeling and Inverse Problems in Imaging Analysis)] TJ ET
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BT 206.163 57.676 Td /F1 7.5 Tf [( Bernard Chalmond 2012-12-06 More mathematicians have been taking part in the development of digital )] TJ ET
BT 34.016 48.518 Td /F1 7.5 Tf [(image processing as a science and the contributions are reflected in the increasingly important role modeling has played solving complex problems. This book )] TJ ET
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BT 34.016 378.188 Td /F1 7.5 Tf [(is mostly concerned with energy-based models. Most of these models come from industrial projects in which the author was involved in robot vision and )] TJ ET
BT 34.016 369.031 Td /F1 7.5 Tf [(radiography: tracking 3D lines, radiographic image processing, 3D reconstruction and tomography, matching, deformation learning. Numerous graphical )] TJ ET
BT 34.016 359.873 Td /F1 7.5 Tf [(illustrations accompany the text.)] TJ ET
BT 34.016 350.716 Td /F1 7.5 Tf [(Introduction to Inverse Problems in Imaging)] TJ ET
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34.016 349.478 m 178.661 349.478 l S
BT 178.661 350.716 Td /F1 7.5 Tf [( M. Bertero 2021-12-20 Fully updated throughout and with several new chapters, this second edition of )] TJ ET
BT 34.016 341.558 Td /F1 7.5 Tf [(Introduction to Inverse Problems in Imaging guides advanced undergraduate and graduate students in physics, computer science, mathematics and )] TJ ET
BT 34.016 332.401 Td /F1 7.5 Tf [(engineering through the principles of linear inverse problems, in addition to methods of their approximate solution and their practical applications in imaging. )] TJ ET
BT 34.016 323.243 Td /F1 7.5 Tf [(This second edition contains new chapters on edge-preserving and sparsity-enforcing regularization in addition to maximum likelihood methods and Bayesian )] TJ ET
BT 34.016 314.086 Td /F1 7.5 Tf [(regularization for Poisson data. 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 34.016 304.928 Td /F1 7.5 Tf [(different backgrounds, with readers needing just a rudimentary understanding of analysis, geometry, linear algebra, probability theory, and Fourier analysis. )] TJ ET
BT 34.016 295.771 Td /F1 7.5 Tf [(The authors concentrate on presenting easily implementable and fast solution algorithms, and this second edition is accompanied by numerical examples )] TJ ET
BT 34.016 286.613 Td /F1 7.5 Tf [(throughout. It will provide readers with the appropriate background needed for a clear understanding of the essence of inverse problems \(ill-posedness and its )] TJ ET
BT 34.016 277.456 Td /F1 7.5 Tf [(cure\) and, consequently, for an intelligent assessment of the rapidly growing literature on these problems. Key features: Provides an accessible introduction to )] TJ ET
BT 34.016 268.298 Td /F1 7.5 Tf [(the topic while keeping mathematics to a minimum Interdisciplinary topic with growing relevance and wide-ranging applications Accompanied by numerical )] TJ ET
BT 34.016 259.141 Td /F1 7.5 Tf [(examples throughout)] TJ ET
BT 34.016 249.983 Td /F1 7.5 Tf [(Stable Solution of Inverse Problems)] TJ ET
BT 153.236 249.983 Td /F1 7.5 Tf [( Johann Baumeister 1987 These notes are intended to describe the basic concepts of solving inverse problems in a stable )] TJ ET
BT 34.016 240.826 Td /F1 7.5 Tf [(way. Since almost all in verse problems are ill-posed in its original formulation the discussion of methods to overcome difficulties which result from this fact is )] TJ ET
BT 34.016 231.668 Td /F1 7.5 Tf [(the main subject of this book. Over the past fifteen years, the number of publications on inverse problems has grown rapidly. Therefore, these notes can be )] TJ ET
BT 34.016 222.511 Td /F1 7.5 Tf [(neither a comprehensive introduction nor a complete mono graph on the topics considered; it is designed to provide the main ideas and methods. )] TJ ET
BT 34.016 213.353 Td /F1 7.5 Tf [(Throughout, we have not striven for the most general statement, but the clearest one which would cover the most situations. The presentation is intended to )] TJ ET
BT 34.016 204.196 Td /F1 7.5 Tf [(be accessible to students whose mathematical background includes basic courses in ad vanced calculus, linear algebra and functional analysis. Each )] TJ ET
BT 34.016 195.038 Td /F1 7.5 Tf [(chapter contains bibliographical comments. At the end of Chap ter 1 references are given which refer to topics which are not studied in this book. I am very )] TJ ET
BT 34.016 185.881 Td /F1 7.5 Tf [(grateful to Mrs. B. Brodt for typing and to W. Scondo and u. Schuch for inspecting the manuscript.)] TJ ET
BT 34.016 176.723 Td /F1 7.5 Tf [(Methoden der Mathematischen Physik)] TJ ET
BT 161.568 176.723 Td /F1 7.5 Tf [( Richard Courant 2013-03-13 Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit )] TJ ET
BT 34.016 167.566 Td /F1 7.5 Tf [(Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die )] TJ ET
BT 34.016 158.408 Td /F1 7.5 Tf [(disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und )] TJ ET
BT 34.016 149.251 Td /F1 7.5 Tf [(wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.)] TJ ET
BT 34.016 140.093 Td /F1 7.5 Tf [(Sound Visualization and Manipulation)] TJ ET
BT 159.078 140.093 Td /F1 7.5 Tf [( Yang-Hann Kim 2013-08-26 Unique in addressing two different problems – sound visualization and manipulation – in a )] TJ ET
BT 34.016 130.936 Td /F1 7.5 Tf [(unified way Advances in signal processing technology are enabling ever more accurate visualization of existing sound fields and precisely defined sound field )] TJ ET
BT 34.016 121.778 Td /F1 7.5 Tf [(production. The idea of explaining both the problem of sound visualization and the problem of the manipulation of sound within one book supports this inter-)] TJ ET
BT 34.016 112.621 Td /F1 7.5 Tf [(related area of study. With rapid development of array technologies, it is possible to do much in terms of visualization and manipulation, among other )] TJ ET
BT 34.016 103.463 Td /F1 7.5 Tf [(technologies involved with the spatial distribution of sound. This book aims to explore various basic functions for the visualization and manipulation and )] TJ ET
BT 34.016 94.306 Td /F1 7.5 Tf [(demonstrate to the reader how these properties determine the quality of visualization and manipulation. The first half of the book introduces some basic and )] TJ ET
BT 34.016 85.148 Td /F1 7.5 Tf [(general concepts and theories and the second part of the book explains a number of techniques in sound visualization and manipulation. It offers a unified )] TJ ET
BT 34.016 75.991 Td /F1 7.5 Tf [(presentation to two very different topics - sound field visualization techniques based on microphone arrays, and techniques for generation of controlled sound )] TJ ET
BT 34.016 66.833 Td /F1 7.5 Tf [(fields using loudspeaker arrays. The authors emphasize the similarities between these two physical problems and between the mathematical methods used )] TJ ET
BT 34.016 57.676 Td /F1 7.5 Tf [(for solving them. With extensive examples throughout the book, chapters include: Acoustic Wave Equation and its Basic Physical Measures, Acoustic Wave )] TJ ET
BT 34.016 48.518 Td /F1 7.5 Tf [(Equation and its Basic Physical Measures, Basic Theory of Sound Visualization, Acoustic Holography, Beamforming, Basic Theory of Sound Manipulation, )] TJ ET
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BT 34.016 378.188 Td /F1 7.5 Tf [(Sound Focusing, and Sound Field Reproduction. The first book to combine both the visualization and manipulation of sound technologies in one )] TJ ET
BT 34.016 369.031 Td /F1 7.5 Tf [(comprehensive volume Presents the basic concepts using simple one dimensional cases and then extends the concept to three dimensional cases, enabling )] TJ ET
BT 34.016 359.873 Td /F1 7.5 Tf [(easier understanding of the fundamental concepts through the use of minimum mathematics Provides a solid understanding of associated physics as well as )] TJ ET
BT 34.016 350.716 Td /F1 7.5 Tf [(mathematical concepts for understanding the technologies, addressing diffraction problems in an integrated format by using Kirchhoff-Helmholtz integral )] TJ ET
BT 34.016 341.558 Td /F1 7.5 Tf [(equation Uses extensive examples demonstrating the benefits and drawbacks of various applications, including beamforming and acoustic holography A )] TJ ET
BT 34.016 332.401 Td /F1 7.5 Tf [(valuable resource forpost/graduate students, acoustic engineers, audio and noise control system developers)] TJ ET
BT 34.016 323.243 Td /F1 7.5 Tf [(Inverse Problems in Scattering and Imaging)] TJ ET
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BT 179.493 323.243 Td /F1 7.5 Tf [( Bertero 1992-02-27 Inverse Problems in Scattering and Imaging is a collection of lectures from a NATO )] TJ ET
BT 34.016 314.086 Td /F1 7.5 Tf [(Advanced Research Workshop that integrates the expertise of physicists and mathematicians in different areas with a common interest in inverse problems. )] TJ ET
BT 34.016 304.928 Td /F1 7.5 Tf [(Covering a range of subjects from new developments on the applied mathematics/mathematical physics side to many areas of application, the book achieves )] TJ ET
BT 34.016 295.771 Td /F1 7.5 Tf [(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 )] TJ ET
BT 34.016 286.613 Td /F1 7.5 Tf [(those working in areas where inverse problems can be applied.)] TJ ET
BT 34.016 277.456 Td /F1 7.5 Tf [(Computational Uncertainty Quantification for Inverse Problems)] TJ ET
BT 241.593 277.456 Td /F1 7.5 Tf [( Johnathan M. Bardsley 2018-08-01 This book is an introduction to both computational inverse )] TJ ET
BT 34.016 268.298 Td /F1 7.5 Tf [(problems and uncertainty quantification \(UQ\) for inverse problems. The book also presents more advanced material on Bayesian methods and UQ, including )] TJ ET
BT 34.016 259.141 Td /F1 7.5 Tf [(Markov chain Monte Carlo sampling methods for UQ in inverse problems. Each chapter contains MATLAB® code that implements the algorithms and )] TJ ET
BT 34.016 249.983 Td /F1 7.5 Tf [(generates the figures, as well as a large number of exercises accessible to both graduate students and researchers. Computational Uncertainty Quantification )] TJ ET
BT 34.016 240.826 Td /F1 7.5 Tf [(for Inverse Problems is intended for graduate students, researchers, and applied scientists. It is appropriate for courses on computational inverse problems, )] TJ ET
BT 34.016 231.668 Td /F1 7.5 Tf [(Bayesian methods for inverse problems, and UQ methods for inverse problems.)] TJ ET
BT 36.266 203.272 Td /F1 8.0 Tf [(introduction-to-inverse-problems-in-imaging)] TJ ET
BT 317.118 203.480 Td /F1 8.0 Tf [(Downloaded from )] TJ ET
BT 382.030 203.272 Td /F1 8.0 Tf [(servicedesign.hau.gr)] TJ ET
BT 455.838 203.480 Td /F1 8.0 Tf [( on October 1, 2022 by guest)] TJ ET
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