A Mathematical Introduction To Compressive Sensing

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A Mathematical Introduction to Compressive Sensing

Author : Simon Foucart,Holger Rauhut
Publisher : Springer Science & Business Media
Page : 634 pages
File Size : 53,9 Mb
Release : 2013-08-13
Category : Computers
ISBN : 9780817649487

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A Mathematical Introduction to Compressive Sensing by Simon Foucart,Holger Rauhut Pdf

At the intersection of mathematics, engineering, and computer science sits the thriving field of compressive sensing. Based on the premise that data acquisition and compression can be performed simultaneously, compressive sensing finds applications in imaging, signal processing, and many other domains. In the areas of applied mathematics, electrical engineering, and theoretical computer science, an explosion of research activity has already followed the theoretical results that highlighted the efficiency of the basic principles. The elegant ideas behind these principles are also of independent interest to pure mathematicians. A Mathematical Introduction to Compressive Sensing gives a detailed account of the core theory upon which the field is build. With only moderate prerequisites, it is an excellent textbook for graduate courses in mathematics, engineering, and computer science. It also serves as a reliable resource for practitioners and researchers in these disciplines who want to acquire a careful understanding of the subject. A Mathematical Introduction to Compressive Sensing uses a mathematical perspective to present the core of the theory underlying compressive sensing.

An Introduction to Compressed Sensing

Author : M. Vidyasagar
Publisher : SIAM
Page : 341 pages
File Size : 46,5 Mb
Release : 2019-12-03
Category : Technology & Engineering
ISBN : 9781611976120

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An Introduction to Compressed Sensing by M. Vidyasagar Pdf

Compressed sensing is a relatively recent area of research that refers to the recovery of high-dimensional but low-complexity objects from a limited number of measurements. The topic has applications to signal/image processing and computer algorithms, and it draws from a variety of mathematical techniques such as graph theory, probability theory, linear algebra, and optimization. The author presents significant concepts never before discussed as well as new advances in the theory, providing an in-depth initiation to the field of compressed sensing. An Introduction to Compressed Sensing contains substantial material on graph theory and the design of binary measurement matrices, which is missing in recent texts despite being poised to play a key role in the future of compressed sensing theory. It also covers several new developments in the field and is the only book to thoroughly study the problem of matrix recovery. The book supplies relevant results alongside their proofs in a compact and streamlined presentation that is easy to navigate. The core audience for this book is engineers, computer scientists, and statisticians who are interested in compressed sensing. Professionals working in image processing, speech processing, or seismic signal processing will also find the book of interest.

Handbook of Mathematical Methods in Imaging

Author : Otmar Scherzer
Publisher : Springer Science & Business Media
Page : 1626 pages
File Size : 41,6 Mb
Release : 2010-11-23
Category : Mathematics
ISBN : 9780387929194

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Handbook of Mathematical Methods in Imaging by Otmar Scherzer Pdf

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.

Introduction to the Mathematics of Inversion in Remote Sensing and Indirect Measurements

Author : S. Twomey
Publisher : Courier Corporation
Page : 302 pages
File Size : 55,8 Mb
Release : 2014-02-04
Category : Science
ISBN : 9780486781389

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Introduction to the Mathematics of Inversion in Remote Sensing and Indirect Measurements by S. Twomey Pdf

Graduate-level monograph develops background and fundamental theory of inversion processes used in remote sensing (e.g. atmospheric temperature structure measurements from satellites), starting at elementary level. Largely self-contained; each chapter begins with elementary discussion outlining problems and questions to be covered. Suggestions for further reading.

Data-Driven Science and Engineering

Author : Steven L. Brunton,J. Nathan Kutz
Publisher : Cambridge University Press
Page : 615 pages
File Size : 51,5 Mb
Release : 2022-05-05
Category : Computers
ISBN : 9781009098489

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Data-Driven Science and Engineering by Steven L. Brunton,J. Nathan Kutz Pdf

A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.

Compressive Sensing in Healthcare

Author : Mahdi Khosravy,Nilanjan Dey,Carlos A. Duque
Publisher : Academic Press
Page : 308 pages
File Size : 53,6 Mb
Release : 2020-05-18
Category : Technology & Engineering
ISBN : 9780128212486

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Compressive Sensing in Healthcare by Mahdi Khosravy,Nilanjan Dey,Carlos A. Duque Pdf

Compressive Sensing in Healthcare, part of the Advances in Ubiquitous Sensing Applications for Healthcare series gives a review on compressive sensing techniques in a practical way, also presenting deterministic compressive sensing techniques that can be used in the field. The focus of the book is on healthcare applications for this technology. It is intended for both the creators of this technology and the end users of these products. The content includes the use of EEG and ECG, plus hardware and software requirements for building projects. Body area networks and body sensor networks are explored. Provides a toolbox for compressive sensing in health, presenting both mathematical and coding information Presents an intuitive introduction to compressive sensing, including MATLAB tutorials Covers applications of compressive sensing in health care

Matrix Iterative Analysis

Author : Richard S Varga
Publisher : Springer Science & Business Media
Page : 363 pages
File Size : 46,8 Mb
Release : 2009-12-05
Category : Mathematics
ISBN : 9783642051562

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Matrix Iterative Analysis by Richard S Varga Pdf

This book is a revised version of the first edition, regarded as a classic in its field. In some places, newer research results have been incorporated in the revision, and in other places, new material has been added to the chapters in the form of additional up-to-date references and some recent theorems to give readers some new directions to pursue.

Theoretical Foundations and Numerical Methods for Sparse Recovery

Author : Massimo Fornasier
Publisher : Walter de Gruyter
Page : 351 pages
File Size : 52,6 Mb
Release : 2010-07-30
Category : Mathematics
ISBN : 9783110226157

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Theoretical Foundations and Numerical Methods for Sparse Recovery by Massimo Fornasier Pdf

The present collection is the very first contribution of this type in the field of sparse recovery. Compressed sensing is one of the important facets of the broader concept presented in the book, which by now has made connections with other branches such as mathematical imaging, inverse problems, numerical analysis and simulation. The book consists of four lecture notes of courses given at the Summer School on "Theoretical Foundations and Numerical Methods for Sparse Recovery" held at the Johann Radon Institute for Computational and Applied Mathematics in Linz, Austria, in September 2009. This unique collection will be of value for a broad community and may serve as a textbook for graduate courses. From the contents: "Compressive Sensing and Structured Random Matrices" by Holger Rauhut "Numerical Methods for Sparse Recovery" by Massimo Fornasier "Sparse Recovery in Inverse Problems" by Ronny Ramlau and Gerd Teschke "An Introduction to Total Variation for Image Analysis" by Antonin Chambolle, Vicent Caselles, Daniel Cremers, Matteo Novaga and Thomas Pock

Compressive Imaging: Structure, Sampling, Learning

Author : Ben Adcock,Anders C. Hansen
Publisher : Cambridge University Press
Page : 300 pages
File Size : 47,5 Mb
Release : 2021-08-31
Category : Computers
ISBN : 110842161X

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Compressive Imaging: Structure, Sampling, Learning by Ben Adcock,Anders C. Hansen Pdf

Accurate, robust and fast image reconstruction is a critical task in many scientific, industrial and medical applications. Over the last decade, image reconstruction has been revolutionized by the rise of compressive imaging. It has fundamentally changed the way modern image reconstruction is performed. This in-depth treatment of the subject commences with a practical introduction to compressive imaging, supplemented with examples and downloadable code, intended for readers without extensive background in the subject. Next, it introduces core topics in compressive imaging - including compressed sensing, wavelets and optimization - in a concise yet rigorous way, before providing a detailed treatment of the mathematics of compressive imaging. The final part is devoted to recent trends in compressive imaging: deep learning and neural networks. With an eye to the next decade of imaging research, and using both empirical and mathematical insights, it examines the potential benefits and the pitfalls of these latest approaches.

Wavelet Analysis with Applications to Image Processing

Author : Lakshman Prasad,S. Sitharama Iyengar
Publisher : CRC Press
Page : 300 pages
File Size : 51,8 Mb
Release : 2020-01-29
Category : Mathematics
ISBN : 9781000721980

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Wavelet Analysis with Applications to Image Processing by Lakshman Prasad,S. Sitharama Iyengar Pdf

Wavelet analysis is among the newest additions to the arsenals of mathematicians, scientists, and engineers, and offers common solutions to diverse problems. However, students and professionals in some areas of engineering and science, intimidated by the mathematical background necessary to explore this subject, have been unable to use this powerful tool. The first book on the topic for readers with minimal mathematical backgrounds, Wavelet Analysis with Applications to Image Processing provides a thorough introduction to wavelets with applications in image processing. Unlike most other works on this subject, which are often collections of papers or research advances, this book offers students and researchers without an extensive math background a step-by-step introduction to the power of wavelet transforms and applications to image processing. The first four chapters introduce the basic topics of analysis that are vital to understanding the mathematics of wavelet transforms. Subsequent chapters build on the information presented earlier to cover the major themes of wavelet analysis and its applications to image processing. This is an ideal introduction to the subject for students, and a valuable reference guide for professionals working in image processing.

High-Dimensional Probability

Author : Roman Vershynin
Publisher : Cambridge University Press
Page : 299 pages
File Size : 45,9 Mb
Release : 2018-09-27
Category : Business & Economics
ISBN : 9781108415194

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High-Dimensional Probability by Roman Vershynin Pdf

An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.

Introduction to Energy Analysis

Author : Kornelis Blok,Evert Nieuwlaar
Publisher : Routledge
Page : 282 pages
File Size : 51,8 Mb
Release : 2020-11-17
Category : Business & Economics
ISBN : 9781000214437

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Introduction to Energy Analysis by Kornelis Blok,Evert Nieuwlaar Pdf

This textbook provides an introduction to energy analysis for those students who want to specialise in this challenging field. In comparison to other textbooks, this book provides a balanced treatment of complete energy systems, covering the demand side, the supply side, and the energy markets that connect these. The emphasis is very much on presenting a range of tools and methodologies that will help students find their way in analysing real world problems in energy systems. This new edition has been updated throughout and contains additional content on energy transitions and improvements in the treatment of several energy systems analysis approaches. Featuring learning objectives, further readings and practical exercises in each chapter, Introduction to Energy Analysis will be essential reading for upper-level undergraduate and postgraduate students with a background in the natural sciences and engineering. This book may also be useful for professionals dealing with energy issues, as a first introduction into the field.

Numerical Linear Algebra

Author : William Layton,Myron Mike Sussman
Publisher : World Scientific
Page : 274 pages
File Size : 43,9 Mb
Release : 2020-07-14
Category : Mathematics
ISBN : 9789811223914

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Numerical Linear Algebra by William Layton,Myron Mike Sussman Pdf

'The numerical algorithms presented are written in pseudocode and based on MATLAB, a programming and numeric computing platform widely used in STEM fields. Thus, no formal training in computer science or knowledge of any specific programming language is needed to parse the algorithms. Summing up: Recommended.'CHOICEMany students come to numerical linear algebra from science and engineering seeking modern tools and an understanding of how the tools work and their limitations. Often their backgrounds and experience are extensive in applications of numerical methods but limited in abstract mathematics and matrix theory. Often enough it is limited to multivariable calculus, basic differential equations and methods of applied mathematics. This book introduces modern tools of numerical linear algebra based on this background, heavy in applied analysis but light in matrix canonical forms and their algebraic properties. Each topic is presented as algorithmic ideas and through a foundation based on mostly applied analysis. By picking a path through the book appropriate for the level, it has been used for both senior level undergraduates and beginning graduate classes with students from diverse fields and backgrounds.

Numerical Methods for Equations and its Applications

Author : Ioannis K. Argyros,Yeol J. Cho,Saïd Hilout
Publisher : CRC Press
Page : 476 pages
File Size : 55,5 Mb
Release : 2012-06-05
Category : Mathematics
ISBN : 9781578087532

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Numerical Methods for Equations and its Applications by Ioannis K. Argyros,Yeol J. Cho,Saïd Hilout Pdf

This book introduces advanced numerical-functional analysis to beginning computer science researchers. The reader is assumed to have had basic courses in numerical analysis, computer programming, computational linear algebra, and an introduction to real, complex, and functional analysis. Although the book is of a theoretical nature, each chapter contains several new theoretical results and important applications in engineering, in dynamic economics systems, in input-output system, in the solution of nonlinear and linear differential equations, and optimization problem.

Introduction to Applied Numerical Analysis

Author : Richard W. Hamming
Publisher : Courier Corporation
Page : 354 pages
File Size : 44,8 Mb
Release : 2012-01-01
Category : Mathematics
ISBN : 9780486485904

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Introduction to Applied Numerical Analysis by Richard W. Hamming Pdf

"This book is appropriate for an applied numerical analysis course for upper-level undergraduate and graduate students as well as computer science students. Actual programming is not covered, but an extensive range of topics includes round-off and function evaluation, real zeros of a function, integration, ordinary differential equations, optimization, orthogonal functions, Fourier series, and much more. 1989 edition"--Provided by publisher.