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Mathematical Foundations Of Imaging Tomography And Wavefield Inversion

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Mathematical Foundations Of Imaging Tomography And Wavefield Inversion

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Author : Anthony J. Devaney
language : en
Publisher:
Release Date : 2012

Mathematical Foundations Of Imaging Tomography And Wavefield Inversion written by Anthony J. Devaney and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Inverse problems (Differential equations) categories.

Inverse problems are of interest and importance across many branches of physics, mathematics, engineering and medical imaging. In this text, the foundations of imaging and wavefield inversion are presented in a clear and systematic way. The necessary theory is gradually developed throughout the book, progressing from simple wave equation based models to vector wave models. By combining theory with numerous MATLAB based examples, the author promotes a complete understanding of the material and establishes a basis for real world applications. Key topics of discussion include the derivation of solutions to the inhomogeneous and homogeneous Helmholtz equations using Green function techniques; the propagation and scattering of waves in homogeneous and inhomogeneous backgrounds; and the concept of field time reversal. Bridging the gap between mathematics and physics, this multidisciplinary book will appeal to graduate students and researchers alike. Additional resources including MATLAB codes and solutions are available online at www.cambridge.org/9780521119740.

Mathematical Foundations Of Imaging Tomography And Wavefield Inversion

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Author : Anthony J. Devaney
language : en
Publisher: Cambridge University Press
Release Date : 2012-06-21

Mathematical Foundations Of Imaging Tomography And Wavefield Inversion written by Anthony J. Devaney and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-21 with Science categories.

Handbook Of Mathematical Models And Algorithms In Computer Vision And Imaging

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Author : Ke Chen
language : en
Publisher: Springer Nature
Release Date : 2023-02-24

Handbook Of Mathematical Models And Algorithms In Computer Vision And Imaging written by Ke Chen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-24 with Mathematics categories.

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.

Industrial Tomography

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Author : Mi Wang
language : en
Publisher: Woodhead Publishing
Release Date : 2022-05-07

Industrial Tomography written by Mi Wang and has been published by Woodhead Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-07 with Technology & Engineering categories.

Industrial Tomography: Systems and Applications, Second Edition thoroughly explores the important techniques of industrial tomography, also discusses image reconstruction, systems, and applications. This book presents complex processes, including the way three-dimensional imaging is used to create multiple cross-sections, and how computer software helps monitor flows, filtering, mixing, drying processes, and chemical reactions inside vessels and pipelines. This book is suitable for materials scientists and engineers and applied physicists working in the photonics and optoelectronics industry or in the applications industries. - Provides a comprehensive discussion on the different formats of tomography, including advances in visualization and data fusion - Includes an excellent overview of image reconstruction using a wide range of applications - Presents a comprehensive discussion of tomography systems and their applications in a wide variety of industrial processes

Bone Quantitative Ultrasound

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Author : Pascal Laugier
language : en
Publisher: Springer Nature
Release Date : 2022-05-05

Bone Quantitative Ultrasound written by Pascal Laugier and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-05 with Medical categories.

Many significant achievements in new ultrasound technologies to measure bone and models to elucidate the interaction and the propagation of ultrasonic waves in complex bone structures have been reported over the past ten years. Impaired bone remodeling affects not only the trabecular compartment but also the cortical one. Despite the crucial contribution of the cortical structure to the whole bone mechanical competence, cortical bone was understudied for a long time. A paradigm shift occurred around 2010, with a special focus placed on the importance of cortical bone. This has sparkled a great deal of interest in new ultrasound techniques to assess cortical bone. While our book ‘Bone Quantitative Ultrasound’ published in 2011 emphasized techniques to measure trabecular bone, this new book is devoted for a large part to the technologies introduced recently to measure cortical bone. These include resonant ultrasound spectroscopy, guided waves, scattering, and pulse-echo and tomography imaging techniques. Instrumentation, signal processing techniques and models used are detailed. Importantly, the data accumulated in recent years such as anisotropic stiffness, elastic engineering moduli, compression and shear wave speeds of cortical bones from various skeletal sites are presented comprehensively. A few chapters deal with the recent developments achieved in quantitative ultrasound of trabecular bone. These include (i) scattering-based approaches and their application to measure skeletal sites such as the spine and proximal femur and (ii) approaches exploiting the poro-elastic nature of bone. While bone fragility and osteoporosis are still the main motivation for developing bone QUS, this Book also includes chapters reporting ultrasound techniques developed for other applications of high interest such as 3-D imaging of the spine, assessment of implant stability and transcranial brain imaging. This book, together with the book ‘Bone Quantitative Ultrasound’ published in 2011 will provide a comprehensive overview of the methods and principles used in bone quantitative ultrasound and will be a benchmark for all novice or experienced researchers in the field. The book will offer recent experimental results and theoretical concepts developed so far and would be intended for researchers, graduate or undergraduate students, engineers, and clinicians who are involved in the field. The book should be considered as a complement to the first book publisher in 2011, rather than a second edition, in the sense that basic notions already presented in the first book are not repeated.

Computational Methods For Electromagnetic Inverse Scattering

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Author : Xudong Chen
language : en
Publisher: John Wiley & Sons
Release Date : 2018-03-07

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 2018-03-07 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

A Data Engineering Approach To Wave Scattering Analysis With Applications In Radar Sonar Medical Diagnostics Structural Flaw Detection And Intelligent Robotics

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Author : Mark Hinders
language : en
Publisher: John Wiley & Sons
Release Date : 2025-01-02

A Data Engineering Approach To Wave Scattering Analysis With Applications In Radar Sonar Medical Diagnostics Structural Flaw Detection And Intelligent Robotics written by Mark Hinders 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 2025-01-02 with Science categories.

Comprehensive resource exploring how recent advancements in computational capabilities open doors to new applications in wave scattering A Data Engineering Approach to Wave Scattering Analysis applies scattering analysis to many applications including radar, sonar, medical diagnosis, intelligent robotics, and more, enabling readers to implement new and better measurements with both novel instrumentation and artificial intelligence that automates the interpretation of various (and multiple) imaging data streams. Composed of 10 chapters, this book brings together separate scientific topics that share a common basis of knowledge and their unchanged mathematical techniques to ensure successful results. Through periodic exercises, this book reinforces the importance of revisiting derivations and reproducing established results. It also delves into the individuals who shaped scientific methods and technologies, exploring 81 notable names and providing insights into their professional journeys. Classic results from scattering are included in each chapter, and rather than simply pasting in plots from classic papers, these results have largely been reproduced for a more coherent reader experience. Written by an established academic in the field, A Data Engineering Approach to Wave Scattering Analysis includes information on various topics: Field equations, covering strain as a dimensionless measure of deformation, generalized Hooke's Law, and elastic and acoustic waves Reflection and refraction, covering reflection from a free surface and surface waves as well as the wave model of acoustic microscopy Guided waves, covering torsional modes, longitudinal waves, and flexural waves in rods, as well as data engineering for lamb wave tomography Inverse scattering, covering wavelet transforms and fingerprinting as well as applications of wavelet fingerprints such as roof fall detection A Data Engineering Approach to Wave Scattering is an essential up-to-date reference on the subject for researchers interested in radar, sonar, medical imaging, structural health monitoring, manufacturing process control, and autonomous vehicles, as well as upper-level undergraduates and graduate students in related programs of study.

Microwave Imaging Methods And Applications

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Author : Matteo Pastorino
language : en
Publisher: Artech House
Release Date : 2018-06-30

Microwave Imaging Methods And Applications written by Matteo Pastorino and has been published by Artech House this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-30 with Technology & Engineering categories.

Microwave Imaging Methods and Applications provides practitioners and researchers with a complete overview of the latest and most important noninvasive and nondestructive techniques for inspecting structures and bodies by using microwaves. Placing emphasis on applications, the book considers many areas, from medical imaging and security… to industrial engineering and subsurface prospection. For each application, readers are presented with the objectives of the inspection and related challenges. Moreover, this groundbreaking resource details computational methods that can be used to solve inverse problems related to specific applications. Including clear examples or the most significant practical results, this forward-looking reference focuses on systems that have been recently developed. Professionals gain the knowledge needed to compare imaging methods used in different applications and develop new uses of imaging apparatuses and systems.

Mathematical Modelling

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Author : Hemen Dutta
language : en
Publisher: American Mathematical Society
Release Date : 2023-06-12

Mathematical Modelling written by Hemen Dutta 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 2023-06-12 with Mathematics categories.

This volume is a collection of chapters that present several key principles and theories, as well as their potential uses in the development of mathematical models in areas like waves, thermodynamic, electromagnetics, fluid dynamics, and catastrophes. The techniques and methodologies used in this book, on the other hand, should have a long-term impact and be applicable to a wide range of different topics of study and research. Each chapter should also help readers in gaining a better knowledge of the underlying and connected concepts. The companion volume (Contemporary Mathematics, Volume 787) is devoted to theory and application.

Radar Scattering And Imaging Of Rough Surfaces

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Author : Kun-Shan Chen
language : en
Publisher: CRC Press
Release Date : 2020-11-19

Radar Scattering And Imaging Of Rough Surfaces written by Kun-Shan Chen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-19 with Science categories.

Radar scattering and imaging of rough surfaces is an active interdisciplinary area of research with many practical applications in fields such as mineral and resource exploration, ocean and physical oceanography, military and national defense, planetary exploration, city planning and land use, environmental science, and many more. By focusing on the most advanced analytical and numerical modeling and describing both forward and inverse modeling, Radar Scattering and Imaging of Rough Surfaces: Modeling and Applications with MATLAB® connects the scattering process to imaging techniques by vivid examples through numerical and experimental demonstrations and provides computer codes and practical uses. This book is unique in its simultaneous treatment of radar scattering and imaging. Key Features Bridges physical modeling with simulation for resolving radar imaging problems (the first comprehensive work to do so) Provides excellent basic and advanced information for microwave remote-sensing professionals in various fields of science and engineering Covers most advanced analytical and numerical modeling for both backscattering and bistatic scattering Includes MATLAB® codes useful not only for academics but also for radar engineers and scientists to develop tools applicable in different areas of earth studies Covering both the theoretical and the practical, Radar Scattering and Imaging of Rough Surfaces: Modeling and Applications with MATLAB® is an invaluable resource for professionals and students using remote sensing to study and explain the Earth and its processes. University and research institutes, electrical and radar engineers, remote-sensing image users, application software developers, students, and academics alike will benefit from this book. The author, Kun-Shan Chen, is an internationally known and respected engineer and scientist and an expert in the field of electromagnetic modeling.

Mathematical Foundations Of Imaging Tomography And Wavefield Inversion

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