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Numerical Comparison Of Some Reconstruction Methods For Inverse Scattering Problems


Numerical Comparison Of Some Reconstruction Methods For Inverse Scattering Problems
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Numerical Comparison Of Some Reconstruction Methods For Inverse Scattering Problems


Numerical Comparison Of Some Reconstruction Methods For Inverse Scattering Problems
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Author : Keji Liu
language : en
Publisher:
Release Date : 2011

Numerical Comparison Of Some Reconstruction Methods For Inverse Scattering Problems written by Keji Liu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Inverse problems (Differential equations) categories.




An Introduction To The Mathematical Theory Of Inverse Problems


An Introduction To The Mathematical Theory Of Inverse Problems
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Author : Andreas Kirsch
language : en
Publisher: Springer Nature
Release Date : 2021-02-15

An Introduction To The Mathematical Theory Of Inverse Problems written by Andreas Kirsch and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-15 with Mathematics categories.


This graduate-level textbook introduces the reader to the area of inverse problems, vital to many fields including geophysical exploration, system identification, nondestructive testing, and ultrasonic tomography. It aims to expose the basic notions and difficulties encountered with ill-posed problems, analyzing basic properties of regularization methods for ill-posed problems via several simple analytical and numerical examples. The book also presents three special nonlinear inverse problems in detail: the inverse spectral problem, the inverse problem of electrical impedance tomography (EIT), and the inverse scattering problem. The corresponding direct problems are studied with respect to existence, uniqueness, and continuous dependence on parameters. Ultimately, the text discusses theoretical results as well as numerical procedures for the inverse problems, including many exercises and illustrations to complement coursework in mathematics and engineering. This updated text includes a new chapter on the theory of nonlinear inverse problems in response to the field’s growing popularity, as well as a new section on the interior transmission eigenvalue problem which complements the Sturm-Liouville problem and which has received great attention since the previous edition was published.



Computational Methods For Electromagnetic Inverse Scattering


Computational Methods For Electromagnetic Inverse Scattering
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Author : Xudong Chen
language : en
Publisher: John Wiley & Sons
Release Date : 2018-03-20

Computational Methods For Electromagnetic Inverse Scattering written by Xudong Chen and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-20 with Science categories.


A comprehensive and updated overview of the theory, algorithms and applications of for electromagnetic inverse scattering problems Offers the recent and most important advances in inverse scattering grounded in fundamental theory, algorithms and practical engineering applications Covers the latest, most relevant inverse scattering techniques like signal subspace methods, time reversal, linear sampling, qualitative methods, compressive sensing, and noniterative methods Emphasizes theory, mathematical derivation and physical insights of various inverse scattering problems Written by a leading expert in the field



Advances In Inverse Problems For Partial Differential Equations


Advances In Inverse Problems For Partial Differential Equations
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Author : Dinh-Liem Nguyen
language : en
Publisher: American Mathematical Society
Release Date : 2023-04-12

Advances In Inverse Problems For Partial Differential Equations written by Dinh-Liem Nguyen and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-12 with Mathematics categories.


This volume contains the proceedings of two AMS Special Sessions “Recent Developments on Analysis and Computation for Inverse Problems for PDEs,” virtually held on March 13–14, 2021, and “Recent Advances in Inverse Problems for Partial Differential Equations,” virtually held on October 23–24, 2021. The papers in this volume focus on new results on numerical methods for various inverse problems arising in electrical impedance tomography, inverse scattering in radar and optics problems, reconstruction of initial conditions, control of acoustic fields, and stock price forecasting. The authors studied iterative and non-iterative approaches such as optimization-based, globally convergent, sampling, and machine learning-based methods. The volume provides an interesting source on advances in computational inverse problems for partial differential equations.



Microwave Imaging And Electromagnetic Inverse Scattering Problems


Microwave Imaging And Electromagnetic Inverse Scattering Problems
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Author : Loreto Di Donato
language : en
Publisher: MDPI
Release Date : 2020-05-20

Microwave Imaging And Electromagnetic Inverse Scattering Problems written by Loreto Di Donato and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-05-20 with Technology & Engineering categories.


Microwave imaging techniques allow for the development of systems that are able to inspect, identify, and characterize in a noninvasive fashion under different scenarios, ranging from biomedical to subsurface diagnostics as well as from surveillance and security applications to nondestructive evaluation. Such great opportunities, though, are actually severely limited by difficulties arising from the solution of the underlying inverse scattering problem. As a result, ongoing research efforts in this area are devoted to developing inversion strategies and experimental apparatus so that they are as reliable and accurate as possible with respect to reconstruction capabilities and resolution performance, respectively. The intent of this Special Issue is to present the experiences of leading scientists in the electromagnetic inverse scattering community, as well as to serve as an assessment tool for people who are new to the area of microwave imaging and electromagnetic inverse scattering problems.



Inverse Methods In Action


Inverse Methods In Action
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Author : Pierre C. Sabatier
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Inverse Methods In Action written by Pierre C. Sabatier and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.


This volume contains the Proceedings of a meeting held at Montpellier from November 27th to December 1st 1989 and entitled "Inverse Problems Multicen tennials Meeting". It was held in honor of two major centennials: the foundation of Montpellier 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 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 264) and by the Direction des Recherches et Etudes Techniques (contract 88 CO 283). The Proceedings are presented by chapters on different topics, the choice of topic often being arbitrary. The chapter titles are "Tomographic Inverse Problems", "Distributed Parameters Inverse Problems", "Spectral Inverse Problems (Exact Methods)", "Theoretical hnaging", "Wave Propagation and Scattering Problems (hnaging and Numerical Methods)", "Miscellaneous Problems", "Inverse Methods and Applications to Nonlinear Problems". In each chapter but the first, the papers have been sorted alphabetically according to 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 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 the short scientific introduction at the beginning of the volume.



Wavefield Inversion


Wavefield Inversion
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Author : Armand Wirgin
language : en
Publisher: Springer
Release Date : 2014-05-04

Wavefield Inversion written by Armand Wirgin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Science categories.


This book provides an up-to-date presentation of a broad range of contemporary problems in inverse scattering involving acoustic, elastic and electromagnetic waves. Descriptions will be given of traditional (but still in use and subject to on-going improvements) and more recent methods for identifying either: a) the homogenized material parameters of (spatially) unbounded or bounded heterogeneous media, or b) the detailed composition (spatial distribution of the material parameters) of unbounded or bounded heterogeneous media, or c) the location, shape, orientation and material characteristics of an object embedded in a wellcharacterized homogeneous, homogenized or heterogeneous unbounded or bounded medium, by inversion of reflected, transmitted or scattered spatiotemporal recorded waveforms resulting from the propagation of probe radiation within the medium.



4th International Conference On Biomedical Engineering In Vietnam


4th International Conference On Biomedical Engineering In Vietnam
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Author : Vo Van Toi
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-20

4th International Conference On Biomedical Engineering In Vietnam written by Vo Van Toi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-20 with Technology & Engineering categories.


This volume presents the proceedings of the Fourth International Conference on the Development of Biomedical Engineering in Vietnam which was held in Ho Chi Minh City as a Mega-conference. It is kicked off by the Regenerative Medicine Conference with the theme “BUILDING A FACE” USING A REGENERATIVE MEDICINE APPROACH”, endorsed mainly by the Tissue Engineering and Regenerative Medicine International Society (TERMIS). It is followed by the Computational Medicine Conference, endorsed mainly by the Computational Surgery International Network (COSINE) and the Computational Molecular Medicine of German National Funding Agency; and the General Biomedical Engineering Conference, endorsed mainly by the International Federation for Medical and Biological Engineering (IFMBE). It featured the contributions of 435 scientists from 30 countries, including: Australia, Austria, Belgium, Canada, China, Finland, France, Germany, Hungary, India, Iran, Italy, Japan, Jordan, Korea, Malaysia, Netherlands, Pakistan, Poland, Russian Federation, Singapore, Spain, Switzerland, Taiwan, Turkey, Ukraine, United Kingdom, United States, Uruguay and Viet Nam.



Introduction To Imaging From Scattered Fields


Introduction To Imaging From Scattered Fields
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Author : Michael A Fiddy
language : en
Publisher: CRC Press
Release Date : 2014-11-10

Introduction To Imaging From Scattered Fields written by Michael A Fiddy and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-10 with Technology & Engineering categories.


Obtain the Best Estimate of a Strongly Scattering Object from Limited Scattered Field Data Introduction to Imaging from Scattered Fields presents an overview of the challenging problem of determining information about an object from measurements of the field scattered from that object. It covers widely used approaches to recover information about the objects and examines the assumptions made a priori about the object and the consequences of recovering object information from limited numbers of noisy measurements of the scattered fields. The book explores the strengths and weaknesses of using inverse methods for weak scattering. These methods, including Fourier-based signal and image processing techniques, allow more straightforward inverse algorithms to be exploited based on a simple mapping of scattered field data. The authors also discuss their recent approach based on a nonlinear filtering step in the inverse algorithm. They illustrate how to use this algorithm through numerous two-dimensional electromagnetic scattering examples. MATLAB® code is provided to help readers quickly apply the approach to a wide variety of inverse scattering problems. In later chapters of the book, the authors focus on important and often forgotten overarching constraints associated with exploiting inverse scattering algorithms. They explain how the number of degrees of freedom associated with any given scattering experiment can be found 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) algorithm helps in estimating the properties of an object from scattered field measurements. The PDFT restores stability and improves estimates of the object 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 researchers working on medical, geophysical, defense, and industrial inspection inverse problems, this self-contained book provides the necessary details for readers to design improved experiments and process measured data more effectively. It shows how to obtain the best estimate of a strongly scattering object from limited scattered field data.



Review Of Progress In Quantitative Nondestructive Evaluation


Review Of Progress In Quantitative Nondestructive Evaluation
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Author : Donald O. Thompson
language : en
Publisher: Springer Science & Business Media
Release Date : 1994-05-31

Review Of Progress In Quantitative Nondestructive Evaluation written by Donald O. Thompson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-05-31 with Technology & Engineering categories.


Proceedings of the Thirteenth Symposium on Quantitative Nondestructive Evaluation held in Brunswick, Maine, August 1-6, 1993