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Inverse Problems On Electrical Networks And In Photoacoustic Tomography
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Book Synopsis Inverse Problems on Electrical Networks and in Photoacoustic Tomography by : Christina Grace Knox
Download or read book Inverse Problems on Electrical Networks and in Photoacoustic Tomography written by Christina Grace Knox and published by . This book was released on 2019 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation investigates two inverse problems, one on electrical networks and another from photo acoustic tomography. First we consider the inverse problem of recovering the conductivities of an electrical network from the knowledge of the magnitude of the current along the edges coupled with either the voltage on the boundary of the network or the current flowing in or out of the network. This problem corresponds to finding the minimizers of a l1 minimization problem. Additionally, we show that while the conductivities are not determined uniquely the flow of the current is uniquely determined. We will also present a convergent numerical algorithm for solving these problems along with basic numerical simulations. Lastly, we will discuss some applications of this inverse problem. Next we consider the inverse problem of determining both the source of a wave and its speed inside a medium from measurements of the solution of the wave equation on the boundary. This problem arises in photoacoustic and thermoacoustic tomography. We will present a brief overview of previous uniqueness results and then present our two original uniqueness results. If the reciprocal of the wave speed squared is harmonic in a simply connected region and identically one elsewhere then a wave speed satisfying a natural admissibility assumption can be uniquely determined from the solution of the wave equation on the boundary of domain without knowledge of the source. If the wave speed is known and only assumed to be bounded, then, under the same admissibility assumption, the source of the wave can be uniquely determined from boundary measurements.
Book Synopsis Data-driven Models in Inverse Problems by : Tatiana A. Bubba
Download or read book Data-driven Models in Inverse Problems written by Tatiana A. Bubba and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-11-18 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in learning-based methods are revolutionizing several fields in applied mathematics, including inverse problems, resulting in a major paradigm shift towards data-driven approaches. This volume, which is inspired by this cutting-edge area of research, brings together contributors from the inverse problem community and shows how to successfully combine model- and data-driven approaches to gain insight into practical and theoretical issues.
Book Synopsis Inverse Problems, Tomography, and Image Processing by : Alexander G. Ramm
Download or read book Inverse Problems, Tomography, and Image Processing written by Alexander G. Ramm and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of Sessions from the First Congress of the International Society for Analysis, Applications, and Computind held in Newark, Delaware, June 2-6, 1997
Book Synopsis Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging by : Ke Chen
Download or read book Handbook of Mathematical Models and Algorithms in Computer Vision and Imaging written by Ke Chen and published by Springer Nature. This book was released on 2023-02-24 with total page 1981 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook gathers together the state of the art on mathematical models and algorithms for imaging and vision. Its emphasis lies on rigorous mathematical methods, which represent the optimal solutions to a class of imaging and vision problems, and on effective algorithms, which are necessary for the methods to be translated to practical use in various applications. Viewing discrete images as data sampled from functional surfaces enables the use of advanced tools from calculus, functions and calculus of variations, and nonlinear optimization, and provides the basis of high-resolution imaging through geometry and variational models. Besides, optimization naturally connects traditional model-driven approaches to the emerging data-driven approaches of machine and deep learning. No other framework can provide comparable accuracy and precision to imaging and vision. Written by leading researchers in imaging and vision, the chapters in this handbook all start with gentle introductions, which make this work accessible to graduate students. For newcomers to the field, the book provides a comprehensive and fast-track introduction to the content, to save time and get on with tackling new and emerging challenges. For researchers, exposure to the state of the art of research works leads to an overall view of the entire field so as to guide new research directions and avoid pitfalls in moving the field forward and looking into the next decades of imaging and information services. This work can greatly benefit graduate students, researchers, and practitioners in imaging and vision; applied mathematicians; medical imagers; engineers; and computer scientists.
Book Synopsis Photoacoustic Tomography by : Huabei Jiang
Download or read book Photoacoustic Tomography written by Huabei Jiang and published by CRC Press. This book was released on 2018-09-03 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of photoacoustic tomography (PAT) emerged in the mid-1990s, and the field of PAT is now rapidly moving forward. Presenting the research of a well-respected pioneer and leading expert, Photoacoustic Tomography is a first-of-its-kind book covering the underlying principles and practical applications of PAT in a systematic manner. Written in a tutorial format, the text: Addresses the fundamentals of PAT, the theory on photoacoustic effect, image reconstruction methods, and instrumentation Details advanced methods for quantitative PAT, which allow the recovery of tissue optical absorption coefficient and/or acoustic properties Explores the development of several image-enhancing schemes, including both software and hardware approaches Examines array-based PAT systems that are the foundation for the realization of 2-D, 3-D, and 4-D PAT Discusses photoacoustic microscopy (PAM) and combinations of PAT/PAM with other imaging methods Considers contrast-agents-based molecular PAT, with both nontargeted and cell receptor–targeted methods Describes clinical applications and animal studies in breast cancer detection, osteoarthritis diagnosis, seizure localization, intravascular imaging, and image-guided cancer therapy Photoacoustic Tomography is an essential reference for graduate students, researchers, industry professionals, and those who wish to enter this exciting field.
Book Synopsis Inverse Problems, Tomography, and Image Processing by : Alexander G. Ramm
Download or read book Inverse Problems, Tomography, and Image Processing written by Alexander G. Ramm and published by . This book was released on 2014-01-15 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Inverse Problems and Imaging by : Gary Francis Roach
Download or read book Inverse Problems and Imaging written by Gary Francis Roach and published by Chapman & Hall/CRC. This book was released on 1991 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the invited papers presented at an international workship on inverse problems and imaging held at Ross Priory, University of Strathclyde, 1988.
Book Synopsis Inverse Problems and Imaging by : Luis L. Bonilla
Download or read book Inverse Problems and Imaging written by Luis L. Bonilla and published by Springer. This book was released on 2008-04-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nowadays we are facing numerous and important imaging problems: nondestructive testing of materials, monitoring of industrial processes, enhancement of oil production by efficient reservoir characterization, emerging developments in noninvasive imaging techniques for medical purposes - computerized tomography (CT), magnetic resonance imaging (MRI), positron emission tomography (PET), X-ray and ultrasound tomography, etc. In the CIME Summer School on Imaging (Martina Franca, Italy 2002), leading experts in mathematical techniques and applications presented broad and useful introductions for non-experts and practitioners alike to many aspects of this exciting field. The volume contains part of the above lectures completed and updated by additional contributions on other related topics.
Book Synopsis Inverse Problems, Tomography, and Image Processing by : Alexander G. Ramm
Download or read book Inverse Problems, Tomography, and Image Processing written by Alexander G. Ramm and published by Springer. This book was released on 1998-05-31 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of Sessions from the First Congress of the International Society for Analysis, Applications, and Computind held in Newark, Delaware, June 2-6, 1997
Book Synopsis Mathematical Modeling in Biomedical Imaging II by : Habib Ammari
Download or read book Mathematical Modeling in Biomedical Imaging II written by Habib Ammari and published by Springer. This book was released on 2011-09-15 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reports on recent mathematical and computational advances in optical, ultrasound, and opto-acoustic tomographies. It outlines the state-of-the-art and future directions in these fields and provides readers with the most recently developed mathematical and computational tools. It is particularly suitable for researchers and graduate students in applied mathematics and biomedical engineering.
Book Synopsis Computational Methods for Electromagnetic Inverse Scattering by : Xudong Chen
Download or read book Computational Methods for Electromagnetic Inverse Scattering written by Xudong Chen and published by John Wiley & Sons. This book was released on 2018-07-18 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Sub-Terahertz Sensing Technology for Biomedical Applications by : Shiban Kishen Koul
Download or read book Sub-Terahertz Sensing Technology for Biomedical Applications written by Shiban Kishen Koul and published by Springer Nature. This book was released on 2022-08-20 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers the readers an opportunity to acquire the concepts of artificial intelligence (AI) enabled sub-THz systems for novel applications in the biomedical field. The readers will also be inspired to contextualize these applications for solving real life problems such as non-invasive glucose monitoring systems, cancer detection and dental imaging. The introductory section of this book focuses on existing technologies for radio frequency and infrared sensing in biomedical applications, and their limited use in sensing applications, as well as the advantages of using THz technology in this context. This is followed by a detailed comparative analysis of THz electronics technology and other conventional electro optic THz setups highlighting the superior efficiency, affordability and portability of electronics-based THz systems. The book also discusses electronic sub-THz measurement systems for different biomedical applications. The chapters elucidate two major applications where sub-THz provides an edge over existing state of the art techniques used for non-invasive measurement of blood glucose levels and intraoperative assessment of tumor margins. There is a detailed articulation of an application of leveraging machine learning for measurement systems for non-invasive glucose concentration measurement. This helps the reader relate to the output in a more user-friendly format and understand the possible use cases in a more lucid manner. The book is intended to help the reader learn how to build tissue phantoms and characterize them at sub-THz frequencies in order to test the measurement systems. Towards the end of the book, a brief introduction to system automation for biomedical imaging is provided as well for quick analysis of the data. The book will empower the reader to understand and appreciate the immense possibilities of using electronic THz systems in the biomedical field, creating gateways for fueling further research in this area.​
Book Synopsis Introduction to Inverse Problems in Imaging by : Mario Bertero
Download or read book Introduction to Inverse Problems in Imaging written by Mario Bertero and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Hybrid Inverse Problems by : Jie Chen
Download or read book Hybrid Inverse Problems written by Jie Chen and published by . This book was released on 2013 with total page 87 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inverse problems arise in different disciplines including exploration geophysics, medical imaging and nondestructive evaluation. In some settings, a single modality displays either high contrast or high resolution but not both. In favorable situations, physical effects couple one high-contrast modality with another high-resolution modality. Hybrid inverse problems, also called coupled-physics inverse problems or multi-wave inverse problems, are motivated to study these coupling mechanisms to display both high contrast and high resolution. In photo-acoustic tomography(PAT) and thermo-acoustic tomography(TAT), acoustic waves couple with optical radiations, while in electro-seismic(ES) effect, seismic waves couple with electrical fields. The solution strategies of hybrid methods typically consist of two steps. Normally in the first step, a high-resolution-low-contrast modality is considered to reconstruct some internal data. In PAT and TAT, we invert a wave equation and reconstruct the initial wave pressure from available boundary measurements. In ES conversion, we invert Biot's system to recover the internal source. In our work, we assume that this step has been performed. The second step consists of the quantitative reconstruction of coefficients of interest by applying a high-contrast modality on the high-resolution internal data obtained during the first step. In the second step of PAT, our main objective is to recover diffusion and absorption coefficients from the internal measurements. The second step of ES conversion works with Maxwell's equation to reconstruct the conductivity and the coupling coefficient from internal measurements. This thesis mainly focuses on the second steps of PAT and ES conversion. Indeed, assuming the internal measurements are obtained already, we mainly prove the uniqueness and the stability of the constructions of the coefficients of interest in PAT and ES conversion. Precisely, We show that knowledge of two internal data based on well-chosen boundary conditions uniquely determine the coefficients of interest. Moreover, Lipschitz type stability results are proved based on the same sets of well-chosen boundary conditions.
Book Synopsis LED-Based Photoacoustic Imaging by : Mithun Kuniyil Ajith Singh
Download or read book LED-Based Photoacoustic Imaging written by Mithun Kuniyil Ajith Singh and published by Springer Nature. This book was released on 2020-04-07 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the use of LEDs in biomedical photoacoustic imaging. In chapters written by key opinion leaders in the field, it covers a broad range of topics, including fundamentals, principles, instrumentation, image reconstruction and data/image processing methods, preclinical and clinical applications of LED-based photoacoustic imaging. Apart from preclinical imaging studies and early clinical pilot studies using LED-based photoacoustics, the book includes a chapter exploring the opportunities and challenges of clinical translation from an industry perspective. Given its scope, the book will appeal to scientists and engineers in academia and industry, as well as medical experts interested in the clinical applications of photoacoustic imaging.
Book Synopsis Handbook of Mathematical Methods in Imaging by : Otmar Scherzer
Download or read book Handbook of Mathematical Methods in Imaging written by Otmar Scherzer and published by Springer Science & Business Media. This book was released on 2010-11-23 with total page 1626 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Mathematical Methods in Imaging provides a comprehensive treatment of the mathematical techniques used in imaging science. The material is grouped into two central themes, namely, Inverse Problems (Algorithmic Reconstruction) and Signal and Image Processing. Each section within the themes covers applications (modeling), mathematics, numerical methods (using a case example) and open questions. Written by experts in the area, the presentation is mathematically rigorous. The entries are cross-referenced for easy navigation through connected topics. Available in both print and electronic forms, the handbook is enhanced by more than 150 illustrations and an extended bibliography. It will benefit students, scientists and researchers in applied mathematics. Engineers and computer scientists working in imaging will also find this handbook useful.
Book Synopsis Modeling, Simulation and Optimization of Complex Processes HPSC 2018 by : Hans Georg Bock
Download or read book Modeling, Simulation and Optimization of Complex Processes HPSC 2018 written by Hans Georg Bock and published by Springer Nature. This book was released on 2020-12-01 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume highlights a selection of papers presented at the 7th International Conference on High Performance Scientific Computing, which took place in Hanoi, Vietnam, during March 19-23, 2018. The conference has been organized by the Institute of Mathematics of the Vietnam Academy of Science and Technology, the Interdisciplinary Center for Scientific Computing (IWR) of Heidelberg University and the Vietnam Institute for Advanced Study in Mathematics. The contributions cover a broad, interdisciplinary spectrum of scientific computing and showcase recent advances in theory, methods, and practical applications. Subjects covered include numerical simulation, methods for optimization and control, machine learning, parallel computing and software development, as well as the applications of scientific computing in mechanical engineering, airspace engineering, environmental physics, decision making, hydrogeology, material science and electric circuits.
