Discrete Signals And Inverse Problems

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Discrete Signals and Inverse Problems

J. Carlos Santamarina,Dante Fratta
Discrete Signals and Inverse Problems Book PDF

Author : J. Carlos Santamarina,Dante Fratta
Publisher : John Wiley & Sons
Page : 364 pages
File Size : 45,9 Mb
Release : 2005-12-13
Category : Technology & Engineering
ISBN : 9780470021880

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Discrete Signals and Inverse Problems by J. Carlos Santamarina,Dante Fratta Pdf

Discrete Signals and Inverse Problems examines fundamental concepts necessary to engineers and scientists working with discrete signal processing and inverse problem solving, and places emphasis on the clear understanding of algorithms within the context of application needs. Based on the original ‘Introduction to Discrete Signals and Inverse Problems in Civil Engineering’, this expanded and enriched version: combines discrete signal processing and inverse problem solving in one book covers the most versatile tools that are needed to process engineering and scientific data presents step-by-step ‘implementation procedures’ for the most relevant algorithms provides instructive figures, solved examples and insightful exercises Discrete Signals and Inverse Problems is essential reading for experimental researchers and practicing engineers in civil, mechanical and electrical engineering, non-destructive testing and instrumentation. This book is also an excellent reference for advanced undergraduate students and graduate students in engineering and science.

Introduction to Discrete Signals and Inverse Problems in Civil Engineering

J. Carlos Santamarina,Dante Fratta
Introduction to Discrete Signals and Inverse Problems in Civil Engineering Book PDF

Author : J. Carlos Santamarina,Dante Fratta
Publisher : American Society of Civil Engineers
Page : 352 pages
File Size : 47,8 Mb
Release : 1998
Category : Mathematics
ISBN : UOM:39015042162837

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Introduction to Discrete Signals and Inverse Problems in Civil Engineering by J. Carlos Santamarina,Dante Fratta Pdf

Explains procedures for analyzing signals and characterizing systems in civil engineering, tasks that are important in such quickly growing areas as non-destructive testing, system identification, image processing, local or remote monitoring, and smart structures. Presents step-by-step implementatio

Discrete Inverse Problems

Per Christian Hansen
Discrete Inverse Problems Book PDF

Author : Per Christian Hansen
Publisher : SIAM
Page : 219 pages
File Size : 40,7 Mb
Release : 2010-03-18
Category : Mathematics
ISBN : 9780898716962

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Discrete Inverse Problems by Per Christian Hansen Pdf

An introduction to the practical treatment of inverse problems using numerical methods for graduate students, including examples and exercises.

Microstructured Materials: Inverse Problems

Jaan Janno,Jüri Engelbrecht
Microstructured Materials Inverse Problems Book PDF

Author : Jaan Janno,Jüri Engelbrecht
Publisher : Springer Science & Business Media
Page : 162 pages
File Size : 47,5 Mb
Release : 2011-08-27
Category : Mathematics
ISBN : 364221584X

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Microstructured Materials: Inverse Problems by Jaan Janno,Jüri Engelbrecht Pdf

Complex, microstructured materials are widely used in industry and technology and include alloys, ceramics and composites. Focusing on non-destructive evaluation (NDE), this book explores in detail the mathematical modeling and inverse problems encountered when using ultrasound to investigate heterogeneous microstructured materials. The outstanding features of the text are firstly, a clear description of both linear and nonlinear mathematical models derived for modelling the propagation of ultrasonic deformation waves, and secondly, the provision of solutions to the corresponding inverse problems that determine the physical parameters of the models. The data are related to nonlinearities at both a macro- and micro- level, as well as to dispersion. The authors’ goal has been to construct algorithms that allow us to determine the parameters within which we are required to characterize microstructure. To achieve this, the authors not only use conventional harmonic waves, but also propose a novel methodology based on using solitary waves in NDE. The book analyzes the uniqueness and stability of the solutions, in addition to providing numerical examples.

Linear and Nonlinear Inverse Problems with Practical Applications

Jennifer L. Mueller,Samuli Siltanen
Linear and Nonlinear Inverse Problems with Practical Applications Book PDF

Author : Jennifer L. Mueller,Samuli Siltanen
Publisher : SIAM
Page : 349 pages
File Size : 50,9 Mb
Release : 2012-11-30
Category : Mathematics
ISBN : 9781611972337

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Linear and Nonlinear Inverse Problems with Practical Applications by Jennifer L. Mueller,Samuli Siltanen Pdf

Inverse problems arise in practical applications whenever there is a need to interpret indirect measurements. This book explains how to identify ill-posed inverse problems arising in practice and gives a hands-on guide to designing computational solution methods for them, with related codes on an accompanying website. The guiding linear inversion examples are the problem of image deblurring, x-ray tomography, and backward parabolic problems, including heat transfer. A thorough treatment of electrical impedance tomography is used as the guiding nonlinear inversion example which combines the analytic-geometric research tradition and the regularization-based school of thought in a fruitful manner. This book is complete with exercises and project topics, making it ideal as a classroom textbook or self-study guide for graduate and advanced undergraduate students in mathematics, engineering or physics who wish to learn about computational inversion. It also acts as a useful guide for researchers who develop inversion techniques in high-tech industry.

Inverse Problems in the Theory of Small Oscillations

Vladimir Marchenko,Victor Slavin
Inverse Problems in the Theory of Small Oscillations Book PDF

Author : Vladimir Marchenko,Victor Slavin
Publisher : American Mathematical Soc.
Page : 158 pages
File Size : 55,5 Mb
Release : 2018-12-12
Category : Frequencies of oscillating systems
ISBN : 9781470448905

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Inverse Problems in the Theory of Small Oscillations by Vladimir Marchenko,Victor Slavin Pdf

Inverse problems of spectral analysis deal with the reconstruction of operators of the specified form in Hilbert or Banach spaces from certain of their spectral characteristics. An interest in spectral problems was initially inspired by quantum mechanics. The main inverse spectral problems have been solved already for Schrödinger operators and for their finite-difference analogues, Jacobi matrices. This book treats inverse problems in the theory of small oscillations of systems with finitely many degrees of freedom, which requires finding the potential energy of a system from the observations of its oscillations. Since oscillations are small, the potential energy is given by a positive definite quadratic form whose matrix is called the matrix of potential energy. Hence, the problem is to find a matrix belonging to the class of all positive definite matrices. This is the main difference between inverse problems studied in this book and the inverse problems for discrete analogues of the Schrödinger operators, where only the class of tridiagonal Hermitian matrices are considered.

Regularization and Bayesian Methods for Inverse Problems in Signal and Image Processing

Jean-Francois Giovannelli,Jérôme Idier
Regularization and Bayesian Methods for Inverse Problems in Signal and Image Processing Book PDF

Author : Jean-Francois Giovannelli,Jérôme Idier
Publisher : John Wiley & Sons
Page : 322 pages
File Size : 52,7 Mb
Release : 2015-02-16
Category : Technology & Engineering
ISBN : 9781848216372

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Regularization and Bayesian Methods for Inverse Problems in Signal and Image Processing by Jean-Francois Giovannelli,Jérôme Idier Pdf

The focus of this book is on "ill-posed inverse problems". These problems cannot be solved only on the basis of observed data. The building of solutions involves the recognition of other pieces of a priori information. These solutions are then specific to the pieces of information taken into account. Clarifying and taking these pieces of information into account is necessary for grasping the domain of validity and the field of application for the solutions built. For too long, the interest in these problems has remained very limited in the signal-image community. However, the community has since recognized that these matters are more interesting and they have become the subject of much greater enthusiasm. From the application field’s point of view, a significant part of the book is devoted to conventional subjects in the field of inversion: biological and medical imaging, astronomy, non-destructive evaluation, processing of video sequences, target tracking, sensor networks and digital communications. The variety of chapters is also clear, when we examine the acquisition modalities at stake: conventional modalities, such as tomography and NMR, visible or infrared optical imaging, or more recent modalities such as atomic force imaging and polarized light imaging.

A Taste of Inverse Problems

Martin Hanke
A Taste of Inverse Problems Book PDF

Author : Martin Hanke
Publisher : SIAM
Page : 171 pages
File Size : 52,5 Mb
Release : 2017-01-01
Category : Mathematics
ISBN : 9781611974935

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A Taste of Inverse Problems by Martin Hanke Pdf

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.

Advanced Mechatronics

Dan Necsulescu
Advanced Mechatronics Book PDF

Author : Dan Necsulescu
Publisher : World Scientific
Page : 342 pages
File Size : 52,7 Mb
Release : 2009
Category : Technology & Engineering
ISBN : 9789812771827

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Advanced Mechatronics by Dan Necsulescu Pdf

This unique book extends mechatronics to spatially distributed systems. Issues regarding remote measurements and indirect monitoring and control of distributed systems is presented in the general framework of the recently developed ill-posed inverse problems. The book starts with an overview of the main results in the inverse problem theory and continues with the presentation of basic results in discrete inverse theory. The second part presents various forward and inverse problems resulting from modeling, monitoring and controlling mechanical, acoustic, fluid and thermal systems. Finally, indirect and remote monitoring and control issues are analyzed as cases of ill-posed inverse problems. Numerous numerical examples illustrate current approaches used for solving practical inverse problems.

Linear and Nonlinear Inverse Problems with Practical Applications

Jennifer L. Mueller,Samuli Siltanen
Linear and Nonlinear Inverse Problems with Practical Applications Book PDF

Author : Jennifer L. Mueller,Samuli Siltanen
Publisher : SIAM
Page : 351 pages
File Size : 54,8 Mb
Release : 2012-11-30
Category : Mathematics
ISBN : 1611972345

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Linear and Nonlinear Inverse Problems with Practical Applications by Jennifer L. Mueller,Samuli Siltanen Pdf

Inverse problems arise in practical applications whenever there is a need to interpret indirect measurements. This book explains how to identify ill-posed inverse problems arising in practice and gives a hands-on guide to designing computational solution methods for them, with related codes on an accompanying website. The guiding linear inversion examples are the problem of image deblurring, x-ray tomography, and backward parabolic problems, including heat transfer. A thorough treatment of electrical impedance tomography is used as the guiding nonlinear inversion example which combines the analytic-geometric research tradition and the regularization-based school of thought in a fruitful manner. This book is complete with exercises and project topics, making it ideal as a classroom textbook or self-study guide for graduate and advanced undergraduate students in mathematics, engineering or physics who wish to learn about computational inversion. It also acts as a useful guide for researchers who develop inversion techniques in high-tech industry.

Surface Waves in Geomechanics: Direct and Inverse Modelling for Soils and Rocks

Carlo G. Lai,Krzysztof Wilmanski
Surface Waves in Geomechanics Direct and Inverse Modelling for Soils and Rocks Book PDF

Author : Carlo G. Lai,Krzysztof Wilmanski
Publisher : Springer Science & Business Media
Page : 390 pages
File Size : 51,8 Mb
Release : 2007-03-23
Category : Science
ISBN : 9783211380659

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Surface Waves in Geomechanics: Direct and Inverse Modelling for Soils and Rocks by Carlo G. Lai,Krzysztof Wilmanski Pdf

Theories of surface waves develop since the end of XIX century and many fundamental problems like existence, phase and group velocities, attenuation (quality factor), mode conversion, etc. have been, in part successfully, solved within the framework of such simple models as ideal fluids^ or linear elasticity. However, a sufficiently complete presentation of this subject, particularly for solids, is still missing in the literature. The sole exception is the book of I. A. Viktorov^ which contains an extensive discussion of fundamental properties of surface waves in homogeneous and stratified linear elastic solids with particular emphasis on contributions of Russian scientists. Unfortunately, the book has never been translated to English and its Russian version is also hardly available. Practical applications of surface waves develop intensively since a much shorter period of time than theories even though the motivation of discoverers of surface waves such as Lord Rayleigh stems from their appearance in geophysics and seismology. Nowadays the growing interest in practical applications of surface waves stem from the following two main factors: surface waves are ideal for developing relatively cheap and convenient methods of nondestructive testing of various systems spanning from nanomaterials (e.g.

Moving Loads - Dynamic Analysis and Identification Techniques

Siu-Seong Law,Xin-Qun Zhu
Moving Loads Dynamic Analysis and Identification Techniques Book PDF

Author : Siu-Seong Law,Xin-Qun Zhu
Publisher : CRC Press
Page : 332 pages
File Size : 51,8 Mb
Release : 2011-02-18
Category : Technology & Engineering
ISBN : 9780203841426

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Moving Loads - Dynamic Analysis and Identification Techniques by Siu-Seong Law,Xin-Qun Zhu Pdf

The interaction phenomenon is very common between different components of a mechanical system. It is a natural phenomenon and is found with the impact force in aircraft landing; the estimation of degree of ripeness of an apple from impact on a beam; the interaction of the magnetic head of a computer disk leading to miniature development of modern c

Bayesian Approach to Inverse Problems

Jérôme Idier
Bayesian Approach to Inverse Problems Book PDF

Author : Jérôme Idier
Publisher : John Wiley & Sons
Page : 322 pages
File Size : 52,9 Mb
Release : 2013-03-01
Category : Mathematics
ISBN : 9781118623695

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Bayesian Approach to Inverse Problems by Jérôme Idier Pdf

Many scientific, medical or engineering problems raise the issue of recovering some physical quantities from indirect measurements; for instance, detecting or quantifying flaws or cracks within a material from acoustic or electromagnetic measurements at its surface is an essential problem of non-destructive evaluation. The concept of inverse problems precisely originates from the idea of inverting the laws of physics to recover a quantity of interest from measurable data. Unfortunately, most inverse problems are ill-posed, which means that precise and stable solutions are not easy to devise. Regularization is the key concept to solve inverse problems. The goal of this book is to deal with inverse problems and regularized solutions using the Bayesian statistical tools, with a particular view to signal and image estimation. The first three chapters bring the theoretical notions that make it possible to cast inverse problems within a mathematical framework. The next three chapters address the fundamental inverse problem of deconvolution in a comprehensive manner. Chapters 7 and 8 deal with advanced statistical questions linked to image estimation. In the last five chapters, the main tools introduced in the previous chapters are put into a practical context in important applicative areas, such as astronomy or medical imaging.

Methods in Membrane Lipids

Alex M. Dopico
Methods in Membrane Lipids Book PDF

Author : Alex M. Dopico
Publisher : Springer Science & Business Media
Page : 1265 pages
File Size : 50,7 Mb
Release : 2007-08-30
Category : Medical
ISBN : 9781588296627

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Methods in Membrane Lipids by Alex M. Dopico Pdf

This book presents a compendium of methodologies for the study of membrane lipids, varying from traditional lab bench experimentation to computer simulation and theoretical models. The volume provides a comprehensive set of techniques for studying membrane lipids with a strong biophysical emphasis. It compares the various available techniques including the pros and cons as seen by the experts.

Inverse Problems and Inverse Scattering of Plane Waves

Dilip N. Ghosh Roy,L. S. Couchman
Inverse Problems and Inverse Scattering of Plane Waves Book PDF

Author : Dilip N. Ghosh Roy,L. S. Couchman
Publisher : Academic Press
Page : 336 pages
File Size : 52,5 Mb
Release : 2001-10-04
Category : Computers
ISBN : 0080546137

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Inverse Problems and Inverse Scattering of Plane Waves by Dilip N. Ghosh Roy,L. S. Couchman Pdf

The purpose of this text is to present the theory and mathematics of inverse scattering, in a simple way, to the many researchers and professionals who use it in their everyday research. While applications range across a broad spectrum of disciplines, examples in this text will focus primarly, but not exclusively, on acoustics. The text will be especially valuable for those applied workers who would like to delve more deeply into the fundamentally mathematical character of the subject matter. Practitioners in this field comprise applied physicists, engineers, and technologists, whereas the theory is almost entirely in the domain of abstract mathematics. This gulf between the two, if bridged, can only lead to improvement in the level of scholarship in this highly important discipline. This is the book's primary focus.