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Explicit Characterization Of Inclusions In Electrical Impedance Tomography
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Book Synopsis Detection and Characterization of Inclusions in Impedance Tomography by : Susanne Schmitt
Download or read book Detection and Characterization of Inclusions in Impedance Tomography written by Susanne Schmitt and published by KIT Scientific Publishing. This book was released on 2014-08-20 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topic of this work are two further developments of the Factorization method for electrical impedance tomography.We present a modification of this method that is capable of detecting mixed inclusions, i.e. both inclusions with a higher as well as inclusions with a lower conductivity than the background medium. In addition, we derive a new method to compute the conductivity inside inclusions after they have been localized.
Book Synopsis Electrical Impedance Tomography by : Andy Adler
Download or read book Electrical Impedance Tomography written by Andy Adler and published by CRC Press. This book was released on 2021-12-19 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions from leading international researchers, this second edition of Electrical Impedance Tomography: Methods, History and Applications has been fully updated throughout and contains new developments in the field, including sections on image interpretation and image reconstruction. Providing a thorough review of the progress of EIT, the present state of knowledge, and a look at future advances and applications, this accessible reference will be invaluable for mathematicians, physicists dealing with bioimpedance, electronic engineers involved in developing and extending its applications, and clinicians wishing to take advantage of this powerful imaging method. Key Features: Fully updated throughout, with new sections on image interpretation and image reconstruction Overview of the current state of experimental and clinical use of EIT as well as active research developments Overview of related research in geophysics, industrial process tomography, magnetic-resonance and magnetic-induction impedance imaging
Book Synopsis Electrical Impedance Tomography by : David S. Holder
Download or read book Electrical Impedance Tomography written by David S. Holder and published by CRC Press. This book was released on 2004-12-31 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, there has been steady progress in the research of electrical impedance tomography (EIT), leading to important developments. These developments have excited interest in practitioners and researchers from a broad range of disciplines, including mathematicians devoted to uniqueness proofs and inverse problems, physicists dealing with bioimpedance, electronic engineerers involved in developing and extending its applications, and clinicians wishing to take advantage of this powerful new imaging method. With contributions from leading international researchers, Electrical Impedance Tomography: Methods, History and Applications provides an up-to-date review of the progress of EIT, the present state of knowledge, and a look at future advances and applications. Divided into four parts, the book presents an interdisciplinary approach. The first part discusses reconstruction algorithms while the second part describes the aspects of EIT instrumentation, including frequencies and electrodes. The third part features various EIT studies, such as breast cancer screening and artificial ventilation in intensive care units. The final part surveys new developments in magnetic induction tomography and magnetic resonance EIT (MREIT) as well as offers insight into three of the most productive and longstanding EIT research groups. The book also includes two nontechnical appendices that provide a brief and simple introduction to bioimpedance and the methods of EIT. Written in a style accessible to all related backgrounds, this reference will be helpful in establishing new methods and experiments of EIT, hopefully leading to radical breakthroughs in mainstream clinical practice.
Book Synopsis A Taste of Inverse Problems by : Martin Hanke
Download or read book A Taste of Inverse Problems written by Martin Hanke and published by SIAM. This book was released on 2017-01-01 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems need to be solved in order to properly interpret indirect measurements. Often, inverse problems are ill-posed and sensitive to data errors. Therefore one has to incorporate some sort of regularization to reconstruct significant information from the given data. A Taste of Inverse Problems: Basic Theory and Examples?presents the main achievements that have emerged in regularization theory over the past 50 years, focusing on linear ill-posed problems and the development of methods that can be applied to them. Some of this material has previously appeared only in journal articles. This book rigorously discusses state-of-the-art inverse problems theory, focusing on numerically relevant aspects and omitting subordinate generalizations; presents diverse real-world applications, important test cases, and possible pitfalls; and treats these applications with the same rigor and depth as the theory.
Book Synopsis Ill-Posed and Inverse Problems by : Vladimir G. Romanov
Download or read book Ill-Posed and Inverse Problems written by Vladimir G. Romanov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-11-05 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: M.M. Lavrentiev is the author of many fundamental scientific results in many directions of mathematics and its applications, such as differential equations, inverse and ill-posed problems, tomography, numerical and applied mathematics. His results in the theory of inverse problems for differential equations and in tomography are well known all over the world. To honour him on the occasion of his 70th birthday renowned scientists in this field of mathematics, both from East and West, have contributed to this special collection of papers on ill-posed and inverse problems, which will be of interest to anyone working in this field.
Book Synopsis Inverse Problems and Spectral Theory by : Hiroshi Isozaki
Download or read book Inverse Problems and Spectral Theory written by Hiroshi Isozaki and published by American Mathematical Soc.. This book was released on 2004 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume grew out of a workshop on spectral theory of differential operators and inverse problems held at the Research Institute for Mathematical Sciences (Kyoto University). The gathering of nearly 100 participants at the conference suggests the increasing interest in this field of research. The focus of the book is on spectral theory for differential operators and related inverse problems. It includes selected topics from the following areas: electromagnetism, elasticity, the Schrodinger equation, differential geometry, and numerical analysis. The material is suitable for graduate students and researchers interested in inverse problems and their applications.
Book Synopsis Inverse Problems: Tikhonov Theory And Algorithms by : Kazufumi Ito
Download or read book Inverse Problems: Tikhonov Theory And Algorithms written by Kazufumi Ito and published by World Scientific. This book was released on 2014-08-28 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems arise in practical applications whenever one needs to deduce unknowns from observables. This monograph is a valuable contribution to the highly topical field of computational inverse problems. Both mathematical theory and numerical algorithms for model-based inverse problems are discussed in detail. The mathematical theory focuses on nonsmooth Tikhonov regularization for linear and nonlinear inverse problems. The computational methods include nonsmooth optimization algorithms, direct inversion methods and uncertainty quantification via Bayesian inference.The book offers a comprehensive treatment of modern techniques, and seamlessly blends regularization theory with computational methods, which is essential for developing accurate and efficient inversion algorithms for many practical inverse problems.It demonstrates many current developments in the field of computational inversion, such as value function calculus, augmented Tikhonov regularization, multi-parameter Tikhonov regularization, semismooth Newton method, direct sampling method, uncertainty quantification and approximate Bayesian inference. It is written for graduate students and researchers in mathematics, natural science and engineering.
Book Synopsis An Introduction to the Mathematical Theory of Inverse Problems by : Andreas Kirsch
Download or read book An Introduction to the Mathematical Theory of Inverse Problems written by Andreas Kirsch and published by Springer Nature. This book was released on 2021-02-15 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Factorization Method for Inverse Problems by : Andreas Kirsch
Download or read book The Factorization Method for Inverse Problems written by Andreas Kirsch and published by Oxford University Press, USA. This book was released on 2008 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 'factorization method', discovered by Professor Kirsch, is a relatively new method for solving certain types of inverse scattering problems and problems in tomography. The text introduces the reader to this promising approach and discusses the wide applicability of this method by choosing typical examples.
Book Synopsis Reconstruction of Small Inhomogeneities from Boundary Measurements by : Habib Ammari
Download or read book Reconstruction of Small Inhomogeneities from Boundary Measurements written by Habib Ammari and published by Springer Science & Business Media. This book was released on 2004-08-03 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book to provide a systematic exposition of promising techniques for the reconstruction of small inhomogeneities from boundary measurements. In particular, theoretical results and numerical procedures for the inverse problems for the conductivity equation, the Lamé system, as well as the Helmholtz equation are discussed in a readable and informative manner. The general approach developed in this book is based on layer potential techniques and modern asymptotic analysis of partial differential equations. The book is particularly suitable for graduate students in mathematics.
Book Synopsis Topics in Computational Wave Propagation by : Mark Ainsworth
Download or read book Topics in Computational Wave Propagation written by Mark Ainsworth and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: These ten detailed and authoritative survey articles on numerical methods for direct and inverse wave propagation problems are written by leading experts. Researchers and practitioners in computational wave propagation, from postgraduate level onwards, will find the breadth and depth of coverage of recent developments a valuable resource. The articles describe a wide range of topics on the application and analysis of methods for time and frequency domain PDE and boundary integral formulations of wave propagation problems. Electromagnetic, seismic and acoustic equations are considered. Recent developments in methods and analysis ranging from finite differences to hp-adaptive finite elements, including high-accuracy and fast methods are described with extensive references.
Book Synopsis Free and Moving Boundaries by : Roland Glowinski
Download or read book Free and Moving Boundaries written by Roland Glowinski and published by CRC Press. This book was released on 2007-06-06 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addressing algebraic problems found in biomathematics and energy, Free and Moving Boundaries: Analysis, Simulation and Control discusses moving boundary and boundary control in systems described by partial differential equations (PDEs). With contributions from international experts, the book emphasizes numerical and theoretical control of mo
Book Synopsis Constrained Optimization and Optimal Control for Partial Differential Equations by : Günter Leugering
Download or read book Constrained Optimization and Optimal Control for Partial Differential Equations written by Günter Leugering and published by Springer Science & Business Media. This book was released on 2012-01-03 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: This special volume focuses on optimization and control of processes governed by partial differential equations. The contributors are mostly participants of the DFG-priority program 1253: Optimization with PDE-constraints which is active since 2006. The book is organized in sections which cover almost the entire spectrum of modern research in this emerging field. Indeed, even though the field of optimal control and optimization for PDE-constrained problems has undergone a dramatic increase of interest during the last four decades, a full theory for nonlinear problems is still lacking. The contributions of this volume, some of which have the character of survey articles, therefore, aim at creating and developing further new ideas for optimization, control and corresponding numerical simulations of systems of possibly coupled nonlinear partial differential equations. The research conducted within this unique network of groups in more than fifteen German universities focuses on novel methods of optimization, control and identification for problems in infinite-dimensional spaces, shape and topology problems, model reduction and adaptivity, discretization concepts and important applications. Besides the theoretical interest, the most prominent question is about the effectiveness of model-based numerical optimization methods for PDEs versus a black-box approach that uses existing codes, often heuristic-based, for optimization.
Book Synopsis Mathematical Methods in Scattering Theory and Biomedical Engineering by : Dimitrios Ioannou Fotiadis
Download or read book Mathematical Methods in Scattering Theory and Biomedical Engineering written by Dimitrios Ioannou Fotiadis and published by World Scientific. This book was released on 2006 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises the papers presented at the Seventh International Workshop on Scattering Theory and Biomedical Engineering, focusing on the hottest topics in scattering theory and biomedical technology.All the contributions are state-of-the-art and have been fully reviewed. The authors are recognized as being eminent both in their field and in the science community.
Book Synopsis Mathematical Methods In Scattering Theory And Biomedical Engineering - Proceedings Of The Seventh International Workshop by : Christos V Massalas
Download or read book Mathematical Methods In Scattering Theory And Biomedical Engineering - Proceedings Of The Seventh International Workshop written by Christos V Massalas and published by World Scientific. This book was released on 2006-08-01 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume comprises the papers presented at the Seventh International Workshop on Scattering Theory and Biomedical Engineering, focusing on the hottest topics in scattering theory and biomedical technology.All the contributions are state-of-the-art and have been fully reviewed. The authors are recognized as being eminent both in their field and in the science community.
Book Synopsis Advances in Scattering and Biomedical Engineering by : Dimitrios Ioannou Fotiadis
Download or read book Advances in Scattering and Biomedical Engineering written by Dimitrios Ioannou Fotiadis and published by World Scientific. This book was released on 2004 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of the papers presented at the 6th International Workshop on Scattering Theory and Biomedical Engineering. Organized every two years, this workshop provides an overview of the hot topics in scattering theory and biomedical technology, and brings together young researchers and senior scientists, creating a forum for the exchange of new scientific ideas. At the sixth meeting, all the invited speakers, who are recognized as being eminent in their field and, more important, as being stimulating speakers, presented their latest achievements. The proceedings have been selected for coverage in: . OCo Index to Scientific & Technical Proceedings- (ISTP- / ISI Proceedings). OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo CC Proceedings OCo Biomedical, Biological & Agricultural Sciences. Contents: Scattering Theory: On the Elastic Scattering Problem from Cubic Anisotropic Inclusions (K A Anagnostopoulos & A Charalambopoulos); On the Scattering of Spherical Electromagnetic Waves by a Penetrable Chiral Obstacle (C Athanasiadis et al.); A Factorization Methods for Maxwell''s Equations (A Kirsch); Acoustic Scattering by an Impenetrable Spheroid (J A Roumeliotis et al.); Applied Mathematics: Wave Dispersion Phenomena in Concrete (D G Aggelis & D Polyzos); Homogenization of Maxwell''s Equations in Dissipative Bianisotropic Media (G Barbatis & I G Stratis); Moment''s Method for Inverse Boundary Value Problems (Y Kurylev); Cleaning Astronomical Databases Using Hough Transforms and Renewal Strings (C K I Williams et al.); Mesh Modeling and its Applications in Image Processing (Y Yang); Biomedical Engineering: Autoregressive Spectral Analysis of Phrenic Neurogram Before and After Vagotomy in the Piglet (S Agner & M Akay); Classifying Patterns Relating to the Early Development of Posttraumatic Stress Disorder Using Principal Components Analysis (B Knorr et al.); Fingerprint Verification Based on Image Processing Segmentation Using an Onion Algorithm of Computational Geometry (M Poulos et al.); and other papers. Readership: Graduate students, academics and researchers in biomedical engineering, bioinformatics and mathematical biology."
Download or read book ESAIM. written by and published by . This book was released on 2001 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt:
