Wavelets And Their Applications

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Wavelets and Their Applications

J.S. Byrnes,Kathryn A. Hargreaves,Karl Berry
Wavelets and Their Applications Book PDF

Author : J.S. Byrnes,Kathryn A. Hargreaves,Karl Berry
Publisher : Springer Science & Business Media
Page : 432 pages
File Size : 46,5 Mb
Release : 1994-08-31
Category : Mathematics
ISBN : 0792330781

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Wavelets and Their Applications by J.S. Byrnes,Kathryn A. Hargreaves,Karl Berry Pdf

It is probably true quite generally that in the history of human thinking the most fruitful developments frequently take place at those points where two different lines of thought meet. Hence, if they actually meet, that is, if they are at least so much related to each other that a real interaction can take place, then one may hope that new and interesting developments may follow. Werner Heisenberg This volume contains papers presented at the August 1992 NATO Advanced Study Institute on Wavelets and Their Applications. The conference was held at the beautiful Il Ciocco resort near Lucca, in the glorious Tuscany region of northern Italy. Once again we gathered at this idyllic spot to explore and extend the reciprocity between mathematics and engineering. The dynamic interaction between world-renowned scientists from the usu ally disparate communities of pure mathematicians and applied scientists, which occurred at our 1989 and 1991 ASI's, continued at this meeting. Wavelet theory and technology is in an important growth stage at which theoretical and practical results are being compared with existing methods. There have been spectacular wavelet successes and sobering comparisons with traditional ideas-but still there is a wide expanse of scientific problems to explore. Since these problems lie at the forefront of both pure mathematics and applied science, our NATO ASI was especially pertinent at this time.

Wavelets and their Applications

Michel Misiti,Yves Misiti,Georges Oppenheim,Jean-Michel Poggi
Wavelets and their Applications Book PDF

Author : Michel Misiti,Yves Misiti,Georges Oppenheim,Jean-Michel Poggi
Publisher : John Wiley & Sons
Page : 270 pages
File Size : 50,5 Mb
Release : 2013-03-01
Category : Technology & Engineering
ISBN : 9781118613597

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Wavelets and their Applications by Michel Misiti,Yves Misiti,Georges Oppenheim,Jean-Michel Poggi Pdf

The last 15 years have seen an explosion of interest in wavelets with applications in fields such as image compression, turbulence, human vision, radar and earthquake prediction. Wavelets represent an area that combines signal in image processing, mathematics, physics and electrical engineering. As such, this title is intended for the wide audience that is interested in mastering the basic techniques in this subject area, such as decomposition and compression.

Wavelet Transforms and Their Applications

Lokenath Debnath,Firdous Ahmad Shah
Wavelet Transforms and Their Applications Book PDF

Author : Lokenath Debnath,Firdous Ahmad Shah
Publisher : Springer
Page : 553 pages
File Size : 44,9 Mb
Release : 2014-11-25
Category : Technology & Engineering
ISBN : 9780817684181

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Wavelet Transforms and Their Applications by Lokenath Debnath,Firdous Ahmad Shah Pdf

This textbook is an introduction to wavelet transforms and accessible to a larger audience with diverse backgrounds and interests in mathematics, science, and engineering. Emphasis is placed on the logical development of fundamental ideas and systematic treatment of wavelet analysis and its applications to a wide variety of problems as encountered in various interdisciplinary areas. Topics and Features: * This second edition heavily reworks the chapters on Extensions of Multiresolution Analysis and Newlands’s Harmonic Wavelets and introduces a new chapter containing new applications of wavelet transforms * Uses knowledge of Fourier transforms, some elementary ideas of Hilbert spaces, and orthonormal systems to develop the theory and applications of wavelet analysis * Offers detailed and clear explanations of every concept and method, accompanied by carefully selected worked examples, with special emphasis given to those topics in which students typically experience difficulty * Includes carefully chosen end-of-chapter exercises directly associated with applications or formulated in terms of the mathematical, physical, and engineering context and provides answers to selected exercises for additional help Mathematicians, physicists, computer engineers, and electrical and mechanical engineers will find Wavelet Transforms and Their Applications an exceptionally complete and accessible text and reference. It is also suitable as a self-study or reference guide for practitioners and professionals.

Wavelets for Computer Graphics

Eric J. Stollnitz,Tony D. DeRose,David H. Salesin
Wavelets for Computer Graphics Book PDF

Author : Eric J. Stollnitz,Tony D. DeRose,David H. Salesin
Publisher : Morgan Kaufmann
Page : 292 pages
File Size : 46,6 Mb
Release : 1996
Category : Computers
ISBN : 1558603751

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Wavelets for Computer Graphics by Eric J. Stollnitz,Tony D. DeRose,David H. Salesin Pdf

This introduction to wavelets provides computer graphics professionals and researchers with the mathematical foundations for understanding and applying this powerful tool.

Wavelets

John J. Benedetto
Wavelets Book PDF

Author : John J. Benedetto
Publisher : CRC Press
Page : 592 pages
File Size : 50,6 Mb
Release : 2021-07-28
Category : Mathematics
ISBN : 9781000443462

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Wavelets by John J. Benedetto Pdf

Wavelets is a carefully organized and edited collection of extended survey papers addressing key topics in the mathematical foundations and applications of wavelet theory. The first part of the book is devoted to the fundamentals of wavelet analysis. The construction of wavelet bases and the fast computation of the wavelet transform in both continuous and discrete settings is covered. The theory of frames, dilation equations, and local Fourier bases are also presented. The second part of the book discusses applications in signal analysis, while the third part covers operator analysis and partial differential equations. Each chapter in these sections provides an up-to-date introduction to such topics as sampling theory, probability and statistics, compression, numerical analysis, turbulence, operator theory, and harmonic analysis. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise. It will be an especially useful reference for harmonic analysts, partial differential equation researchers, signal processing engineers, numerical analysts, fluids researchers, and applied mathematicians.

Wavelet Theory

David K. Ruch,Patrick J. Van Fleet
Wavelet Theory Book PDF

Author : David K. Ruch,Patrick J. Van Fleet
Publisher : John Wiley & Sons
Page : 502 pages
File Size : 54,6 Mb
Release : 2011-09-15
Category : Mathematics
ISBN : 9781118165669

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Wavelet Theory by David K. Ruch,Patrick J. Van Fleet Pdf

A self-contained, elementary introduction to wavelet theory and applications Exploring the growing relevance of wavelets in the field of mathematics, Wavelet Theory: An Elementary Approach with Applications provides an introduction to the topic, detailing the fundamental concepts and presenting its major impacts in the world beyond academia. Drawing on concepts from calculus and linear algebra, this book helps readers sharpen their mathematical proof writing and reading skills through interesting, real-world applications. The book begins with a brief introduction to the fundamentals of complex numbers and the space of square-integrable functions. Next, Fourier series and the Fourier transform are presented as tools for understanding wavelet analysis and the study of wavelets in the transform domain. Subsequent chapters provide a comprehensive treatment of various types of wavelets and their related concepts, such as Haar spaces, multiresolution analysis, Daubechies wavelets, and biorthogonal wavelets. In addition, the authors include two chapters that carefully detail the transition from wavelet theory to the discrete wavelet transformations. To illustrate the relevance of wavelet theory in the digital age, the book includes two in-depth sections on current applications: the FBI Wavelet Scalar Quantization Standard and image segmentation. In order to facilitate mastery of the content, the book features more than 400 exercises that range from theoretical to computational in nature and are structured in a multi-part format in order to assist readers with the correct proof or solution. These problems provide an opportunity for readers to further investigate various applications of wavelets. All problems are compatible with software packages and computer labs that are available on the book's related Web site, allowing readers to perform various imaging/audio tasks, explore computer wavelet transformations and their inverses, and visualize the applications discussed throughout the book. Requiring only a prerequisite knowledge of linear algebra and calculus, Wavelet Theory is an excellent book for courses in mathematics, engineering, and physics at the upper-undergraduate level. It is also a valuable resource for mathematicians, engineers, and scientists who wish to learn about wavelet theory on an elementary level.

Wavelets and Wavelet Transform Systems and Their Applications

Cajetan M. Akujuobi
Wavelets and Wavelet Transform Systems and Their Applications Book PDF

Author : Cajetan M. Akujuobi
Publisher : Springer Nature
Page : 657 pages
File Size : 46,7 Mb
Release : 2022-02-02
Category : Technology & Engineering
ISBN : 9783030875282

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Wavelets and Wavelet Transform Systems and Their Applications by Cajetan M. Akujuobi Pdf

This textbook is unique because of its in-depth treatment of the applications of wavelets and wavelet transforms to many areas, across many disciplines. The book is written to serve the needs of a one or two semester course at either the undergraduate or graduate level. The author uses a very simplified, accessible approach that de-emphasizes mathematical rigor. The presentation includes many diagrams to illustrate points being discussed and uses MATLAB for all of application code. The author reinforces concepts introduced in the book with easy to grasp review questions and problems, tailored to each specific chapter for better mastery of the subject matter. This book enables students to understand the fundamental concepts of wavelets and wavelet transforms, as well as how to use them for problem solutions in digital signal and image processing, mixed-signal testing, space applications, aerospace applications, biomedical, cyber security, homeland security and many other application areas.

Wavelets and Signal Processing

Hans-Georg Stark
Wavelets and Signal Processing Book PDF

Author : Hans-Georg Stark
Publisher : Springer Science & Business Media
Page : 159 pages
File Size : 49,9 Mb
Release : 2005-04-01
Category : Technology & Engineering
ISBN : 9783540234333

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Wavelets and Signal Processing by Hans-Georg Stark Pdf

Professor Noubari's recommendation: "Professor Starks book provides an effective entry into the field for engineering students who have little or no prior knowledge of this important subject. Avaibility of collection of computer codes and mfiles in combination with topics of the book, makes the book highly valuable to enhance student learning of the subject matter."

Wavelets Theory and Its Applications

Mani Mehra
Wavelets Theory and Its Applications Book PDF

Author : Mani Mehra
Publisher : Springer
Page : 182 pages
File Size : 49,5 Mb
Release : 2018-11-03
Category : Mathematics
ISBN : 9789811325953

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Wavelets Theory and Its Applications by Mani Mehra Pdf

This book provides comprehensive information on the conceptual basis of wavelet theory and it applications. Maintaining an essential balance between mathematical rigour and the practical applications of wavelet theory, the book is closely linked to the wavelet MATLAB toolbox, which is accompanied, wherever applicable, by relevant MATLAB codes. The book is divided into four parts, the first of which is devoted to the mathematical foundations. The second part offers a basic introduction to wavelets. The third part discusses wavelet-based numerical methods for differential equations, while the last part highlights applications of wavelets in other fields. The book is ideally suited as a text for undergraduate and graduate students of mathematics and engineering.

A Primer on Wavelets and Their Scientific Applications

James S. Walker
A Primer on Wavelets and Their Scientific Applications Book PDF

Author : James S. Walker
Publisher : CRC Press
Page : 168 pages
File Size : 41,7 Mb
Release : 1999-03-26
Category : Mathematics
ISBN : 0849382769

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A Primer on Wavelets and Their Scientific Applications by James S. Walker Pdf

The rapid growth of wavelet applications-speech compression and analysis, image compression and enhancement, and removing noise from audio and images-has created an explosion of activity in creating a theory of wavelet analysis and applying it to a wide variety of scientific and engineering problems. It becomes important, then, that engineers and scientists have a working understanding of wavelets. Until now, however, the study of wavelets has been beyond the mathematical grasp of many who need this understanding. Most treatments of the subject involve ideas from functional analysis, harmonic analysis, and other difficult mathematical techniques. Wavelets and their Scientific Applications offers an introduction to wavelet analysis without mathematical rigor, requiring only algebra and some very basic calculus. The author stresses applications, and explains, using elementary algebra, how wavelet methods are typically applied in analyzing digital data. Software is available for download through CRC's Website that will enable recording, playing, and modifying sound files, and includes a facility for displaying, printing and modifying IEEE gray field images. Unlike other software packages for wavelet analysis, the author developed this attractive, easy-to-use software without the need for a C++ compiler or MATLABä. Throughout the book the author provides numerous suggestions for computer experiments designed to challenge and enhance the reader's comprehension and provide practice in applying the concepts learned. Wavelets and their Scientific Applications thus provides the perfect vehicle for understanding wavelets and their uses. It provides a fast-track learning opportunity for scientists and mathematicians unfamiliar with wavelet concepts and applications, and it is ideal for anyone without an extensive mathematical background.

An Introduction to Wavelets

Charles K. Chui
An Introduction to Wavelets Book PDF

Author : Charles K. Chui
Publisher : Elsevier
Page : 278 pages
File Size : 54,5 Mb
Release : 2016-06-03
Category : Science
ISBN : 9781483282862

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An Introduction to Wavelets by Charles K. Chui Pdf

Wavelet Analysis and its Applications, Volume 1: An Introduction to Wavelets provides an introductory treatise on wavelet analysis with an emphasis on spline-wavelets and time-frequency analysis. This book is divided into seven chapters. Chapter 1 presents a brief overview of the subject, including classification of wavelets, integral wavelet transform for time-frequency analysis, multi-resolution analysis highlighting the important properties of splines, and wavelet algorithms for decomposition and reconstruction of functions. The preliminary material on Fourier analysis and signal theory is covered in Chapters 2 and 3. Chapter 4 covers the introductory study of cardinal splines, while Chapter 5 describes a general approach to the analysis and construction of scaling functions and wavelets. Spline-wavelets are deliberated in Chapter 6. The last chapter is devoted to an investigation of orthogonal wavelets and wavelet packets. This volume serves as a textbook for an introductory one-semester course on “wavelet analysis for upper-division undergraduate or beginning graduate mathematics and engineering students.

Wavelets

Robert X Gao,Ruqiang Yan
Wavelets Book PDF

Author : Robert X Gao,Ruqiang Yan
Publisher : Springer Science & Business Media
Page : 232 pages
File Size : 55,8 Mb
Release : 2010-12-07
Category : Technology & Engineering
ISBN : 9781441915450

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Wavelets by Robert X Gao,Ruqiang Yan Pdf

Wavelets: Theory and Applications for Manufacturing presents a systematic description of the fundamentals of wavelet transform and its applications. Given the widespread utilization of rotating machines in modern manufacturing and the increasing need for condition-based, as opposed to fix-interval, intelligent maintenance to minimize machine down time and ensure reliable production, it is of critical importance to advance the science base of signal processing in manufacturing. This volume also deals with condition monitoring and health diagnosis of rotating machine components and systems, such as bearings, spindles, and gearboxes, while also: -Providing a comprehensive survey on wavelets specifically related to problems encountered in manufacturing -Discussing the integration of wavelet transforms with other soft computing techniques such as fuzzy logic, for machine defect and severity classification -Showing how to custom design wavelets for improved performance in signal analysis Focusing on wavelet transform as a tool specifically applied and designed for applications in manufacturing, Wavelets: Theory and Applications for Manufacturing presents material appropriate for both academic researchers and practicing engineers working in the field of manufacturing.

Essential Wavelets for Statistical Applications and Data Analysis

Todd Ogden
Essential Wavelets for Statistical Applications and Data Analysis Book PDF

Author : Todd Ogden
Publisher : Springer Science & Business Media
Page : 218 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461207092

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Essential Wavelets for Statistical Applications and Data Analysis by Todd Ogden Pdf

I once heard the book by Meyer (1993) described as a "vulgarization" of wavelets. While this is true in one sense of the word, that of making a sub ject popular (Meyer's book is one of the early works written with the non specialist in mind), the implication seems to be that such an attempt some how cheapens or coarsens the subject. I have to disagree that popularity goes hand-in-hand with debasement. is certainly a beautiful theory underlying wavelet analysis, there is While there plenty of beauty left over for the applications of wavelet methods. This book is also written for the non-specialist, and therefore its main thrust is toward wavelet applications. Enough theory is given to help the reader gain a basic understanding of how wavelets work in practice, but much of the theory can be presented using only a basic level of mathematics. Only one theorem is for mally stated in this book, with only one proof. And these are only included to introduce some key concepts in a natural way.

Two-Dimensional Wavelets and their Relatives

Jean-Pierre Antoine,Romain Murenzi,Pierre Vandergheynst,Syed Twareque Ali
Two Dimensional Wavelets and their Relatives Book PDF

Author : Jean-Pierre Antoine,Romain Murenzi,Pierre Vandergheynst,Syed Twareque Ali
Publisher : Cambridge University Press
Page : 478 pages
File Size : 49,6 Mb
Release : 2008-06-12
Category : Technology & Engineering
ISBN : 9781139453141

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Two-Dimensional Wavelets and their Relatives by Jean-Pierre Antoine,Romain Murenzi,Pierre Vandergheynst,Syed Twareque Ali Pdf

Two-dimensional wavelets offer a number of advantages over discrete wavelet transforms, in particular for analysis of real-time signals. This book provides thorough and comprehensive treatment of 2-D wavelets, with extensive use of practical applications and illustrative examples throughout. For engineers, physicists and mathematicians.

Wavelet Analysis with Applications to Image Processing

Lakshman Prasad,S. Sitharama Iyengar
Wavelet Analysis with Applications to Image Processing Book PDF

Author : Lakshman Prasad,S. Sitharama Iyengar
Publisher : CRC Press
Page : 300 pages
File Size : 47,6 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.