A Primer On Wavelets And Their Scientific Applications

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A Primer on Wavelets and Their Scientific Applications

Author : James S. Walker
Publisher : CRC Press
ISBN 13 : 9781420050011
Total Pages : 172 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis A Primer on Wavelets and Their Scientific Applications by : James S. Walker

Download or read book A Primer on Wavelets and Their Scientific Applications written by James S. Walker and published by CRC Press. This book was released on 2019-07-17 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Primer on Wavelets and Their Scientific Applications, Second Edition

Author : James S. Walker
Publisher : Chapman and Hall/CRC
ISBN 13 : 9781584887454
Total Pages : 320 pages
Book Rating : 4.8/5 (874 download)

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Book Synopsis A Primer on Wavelets and Their Scientific Applications, Second Edition by : James S. Walker

Download or read book A Primer on Wavelets and Their Scientific Applications, Second Edition written by James S. Walker and published by Chapman and Hall/CRC. This book was released on 2008-01-29 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the first edition of his seminal introduction to wavelets, James S. Walker informed us that the potential applications for wavelets were virtually unlimited. Since that time thousands of published papers have proven him true, while also necessitating the creation of a new edition of his bestselling primer. Updated and fully revised to include the latest developments, this second edition of A Primer on Wavelets and Their Scientific Applications guides readers through the main ideas of wavelet analysis in order to develop a thorough appreciation of wavelet applications. Ingeniously relying on elementary algebra and just a smidgen of calculus, Professor Walker demonstrates how the underlying ideas behind wavelet analysis can be applied to solve significant problems in audio and image processing, as well in biology and medicine. Nearly twice as long as the original, this new edition provides · 104 worked examples and 222 exercises, constituting a veritable book of review material · Two sections on biorthogonal wavelets · A mini-course on image compression, including a tutorial on arithmetic compression · Extensive material on image denoising, featuring a rarely covered technique for removing isolated, randomly positioned clutter · Concise yet complete coverage of the fundamentals of time-frequency analysis, showcasing its application to audio denoising, and musical theory and synthesis · An introduction to the multiresolution principle, a new mathematical concept in musical theory · Expanded suggestions for research projects · An enhanced list of references · FAWAV: software designed by the author, which allows readers to duplicate described applications and experiment with other ideas. To keep the book current, Professor Walker has created a supplementary website. This online repository includes ready-to-download software, and sound and image files, as well as access to many of the most important papers in the field.

A Primer on Wavelets and Their Scientific Applications

Author : James S. Walker
Publisher : Chapman & Hall/CRC
ISBN 13 : 9781138442436
Total Pages : pages
Book Rating : 4.4/5 (424 download)

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Book Synopsis A Primer on Wavelets and Their Scientific Applications by : James S. Walker

Download or read book A Primer on Wavelets and Their Scientific Applications written by James S. Walker and published by Chapman & Hall/CRC. This book was released on 2017-07-06 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In the first edition of his seminal introduction to wavelets, James S. Walker informed us that the potential applications for wavelets were virtually unlimited. Since that time thousands of published papers have proven him true, while also necessitating the creation of a new edition of his bestselling primer. Updated and fully revised to include the latest developments, this second edition of A Primer on Wavelets and Their Scientific Applications guides readers through the main ideas of wavelet analysis in order to develop a thorough appreciation of wavelet applications. Ingeniously relying on elementary algebra and just a smidgen of calculus, Professor Walker demonstrates how the underlying ideas behind wavelet analysis can be applied to solve significant problems in audio and image processing, as well in biology and medicine. Nearly twice as long as the original, this new edition provides ¿ ¿¿¿104 worked examples and 222 exercises, constituting a veritable book of review material ¿ Two sections on biorthogonal wavelets ¿ A mini-course on image compression, including a tutorial on arithmetic compression ¿ Extensive material on image denoising, featuring a rarely covered technique for removing isolated, randomly positioned clutter ¿ Concise yet complete coverage of the fundamentals of time-frequency analysis, showcasing its application to audio denoising, and musical theory and synthesis ¿ An introduction to the multiresolution principle, a new mathematical concept in musical theory ¿ Expanded suggestions for research projects ¿ An enhanced list of references ¿

Wavelets

Author : John J. Benedetto
Publisher : CRC Press
ISBN 13 : 1000446395
Total Pages : 590 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Wavelets by : John J. Benedetto

Download or read book Wavelets written by John J. Benedetto and published by CRC Press. This book was released on 2021-07-29 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Wavelets

Author : Christian Blatter
Publisher : CRC Press
ISBN 13 : 1439863970
Total Pages : 213 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Wavelets by : Christian Blatter

Download or read book Wavelets written by Christian Blatter and published by CRC Press. This book was released on 2018-10-08 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Wavelet Transform has stimulated research that is unparalleled since the invention of the Fast Fourier Transform and has opened new avenues of applications in signal processing, image compression, radiology, cardiology, and many other areas. This book grew out of a short course for mathematics students at the ETH in Zurich; it provides a solid mathematical foundation for the broad range of applications enjoyed by the wavelet transform. Numerous illustrations and fully worked out examples enhance the book.

Wavelet Transforms and Their Applications

Author : Lokenath Debnath
Publisher : Springer Science & Business Media
ISBN 13 : 1461200970
Total Pages : 575 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Wavelet Transforms and Their Applications by : Lokenath Debnath

Download or read book Wavelet Transforms and Their Applications written by Lokenath Debnath and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: Overview Historically, the concept of "ondelettes" or "wavelets" originated from the study of time-frequency signal analysis, wave propagation, and sampling theory. One of the main reasons for the discovery of wavelets and wavelet transforms is that the Fourier transform analysis does not contain the local information of signals. So the Fourier transform cannot be used for analyzing signals in a joint time and frequency domain. In 1982, Jean MorIet, in collaboration with a group of French engineers, first introduced the idea of wavelets as a family of functions constructed by using translation and dilation of a single function, called the mother wavelet, for the analysis of nonstationary signals. However, this new concept can be viewed as the synthesis of various ideas originating from different disciplines including mathematics (Calder6n-Zygmund operators and Littlewood-Paley theory), physics (coherent states in quantum mechanics and the renormalization group), and engineering (quadratic mirror filters, sideband coding in signal processing, and pyramidal algorithms in image processing). Wavelet analysis is an exciting new method for solving difficult problems in mathematics, physics, and engineering, with modern applications as diverse as wave propagation, data compression, image processing, pattern recognition, computer graphics, the detection of aircraft and submarines, and improvement in CAT scans and other medical image technology. Wavelets allow complex information such as music, speech, images, and patterns to be decomposed into elementary forms, called the fundamental building blocks, at different positions and scales and subsequently reconstructed with high precision.

Wavelets and their Applications

Author : Michel Misiti
Publisher : John Wiley & Sons
ISBN 13 : 1118613597
Total Pages : 270 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Wavelets and their Applications by : Michel Misiti

Download or read book Wavelets and their Applications written by Michel Misiti and published by John Wiley & Sons. This book was released on 2013-03-01 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Theory

Author : David K. Ruch
Publisher : John Wiley & Sons
ISBN 13 : 1118165667
Total Pages : 502 pages
Book Rating : 4.1/5 (181 download)

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Book Synopsis Wavelet Theory by : David K. Ruch

Download or read book Wavelet Theory written by David K. Ruch and published by John Wiley & Sons. This book was released on 2011-09-15 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fundamentals of Wavelets

Author : Jaideva C. Goswami
Publisher : John Wiley & Sons
ISBN 13 : 0470934646
Total Pages : 310 pages
Book Rating : 4.4/5 (79 download)

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Book Synopsis Fundamentals of Wavelets by : Jaideva C. Goswami

Download or read book Fundamentals of Wavelets written by Jaideva C. Goswami and published by John Wiley & Sons. This book was released on 2011-03-08 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most existing books on wavelets are either too mathematical or they focus on too narrow a specialty. This book provides a thorough treatment of the subject from an engineering point of view. It is a one-stop source of theory, algorithms, applications, and computer codes related to wavelets. This second edition has been updated by the addition of: a section on "Other Wavelets" that describes curvelets, ridgelets, lifting wavelets, etc a section on lifting algorithms Sections on Edge Detection and Geophysical Applications Section on Multiresolution Time Domain Method (MRTD) and on Inverse problems

Wavelets

Author : Stephane Jaffard
Publisher : SIAM
ISBN 13 : 0898718112
Total Pages : 257 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Wavelets by : Stephane Jaffard

Download or read book Wavelets written by Stephane Jaffard and published by SIAM. This book was released on 2001-01-01 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This long-awaited update of Meyer's Wavelets : algorithms and applications includes completely new chapters on four topics: wavelets and the study of turbulence, wavelets and fractals (which includes an analysis of Riemann's nondifferentiable function), data compression, and wavelets in astronomy. The chapter on data compression was the original motivation for this revised edition, and it contains up-to-date information on the interplay between wavelets and nonlinear approximation. The other chapters have been rewritten with comments, references, historical notes, and new material. Four appendices have been added: a primer on filters, key results (with proofs) about the wavelet transform, a complete discussion of a counterexample to the Marr-Mallat conjecture on zero-crossings, and a brief introduction to Hölder and Besov spaces. In addition, all of the figures have been redrawn, and the references have been expanded to a comprehensive list of over 260 entries. The book includes several new results that have not appeared elsewhere.

Wavelets

Author : Gordon Erlebacher
Publisher : Oxford University Press
ISBN 13 : 0198025424
Total Pages : 524 pages
Book Rating : 4.1/5 (98 download)

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Book Synopsis Wavelets by : Gordon Erlebacher

Download or read book Wavelets written by Gordon Erlebacher and published by Oxford University Press. This book was released on 1996-01-04 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wavelets are spatially localized functions whose amplitude drops off exponentially outside a small "window". They are used to magnify experimental or numerical data and have become powerful tools in signal processing and other computational sciences. This book gives scientists and engineers a practical understanding of wavelets--their origins, their purpose, their use, and their prospects. It covers the applications of wavelets as a diagnostic tool and the use of wavelet basis functions to solve differential equations. Each chapter was written by one of five lecturers of a course sponsored by the Institute of Computer Applications in Science and Engineering (ICASE) and the NASA Langley Research Center. Not only does this book treat the latest advances on the subject, but it also attempts to impart practical knowledge to allow scientists and engineers to evaluate objectively where these tools stand in relation to their needs.

The Illustrated Wavelet Transform Handbook

Author : Paul S. Addison
Publisher : CRC Press
ISBN 13 : 1482251337
Total Pages : 465 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis The Illustrated Wavelet Transform Handbook by : Paul S. Addison

Download or read book The Illustrated Wavelet Transform Handbook written by Paul S. Addison and published by CRC Press. This book was released on 2017-01-06 with total page 465 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of The Illustrated Wavelet Transform Handbook: Introductory Theory and Applications in Science, Engineering, Medicine and Finance has been fully updated and revised to reflect recent developments in the theory and practical applications of wavelet transform methods. The book is designed specifically for the applied reader in science, engineering, medicine and finance. Newcomers to the subject will find an accessible and clear account of the theory of continuous and discrete wavelet transforms, while readers already acquainted with wavelets can use the book to broaden their perspective. One of the many strengths of the book is its use of several hundred illustrations, some in colour, to convey key concepts and their varied practical uses. Chapters exploring these practical applications highlight both the similarities and differences in wavelet transform methods across different disciplines and also provide a comprehensive list of over 1000 references that will serve as a valuable resource for further study. Paul Addison is a Technical Fellow with Medtronic, a global medical technology company. Previously, he was co-founder and CEO of start-up company, CardioDigital Ltd (and later co-founded its US subsidiary, CardioDigital Inc) - a company concerned with the development of novel wavelet-based methods for biosignal analysis. He has a master’s degree in engineering and a PhD in fluid mechanics, both from the University of Glasgow, Scotland (founded 1451). His former academic life as a tenured professor of fluids engineering included the output of a large number of technical papers, covering many aspects of engineering and bioengineering, and two textbooks: Fractals and Chaos: An Illustrated Course and the first edition of The Illustrated Wavelet Transform Handbook. At the time of publication, the author has over 100 issued US patents concerning a wide range of medical device technologies, many of these concerning the wavelet transform analysis of biosignals. He is both a Chartered Engineer and Chartered Physicist.

Wavelet Theory and Its Applications

Author : Randy K. Young
Publisher : Springer Science & Business Media
ISBN 13 : 1461535840
Total Pages : 233 pages
Book Rating : 4.4/5 (615 download)

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Book Synopsis Wavelet Theory and Its Applications by : Randy K. Young

Download or read book Wavelet Theory and Its Applications written by Randy K. Young and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: The continuous wavelet transform has deep mathematical roots in the work of Alberto P. Calderon. His seminal paper on complex method of interpolation and intermediate spaces provided the main tool for describing function spaces and their approximation properties. The Calderon identities allow one to give integral representations of many natural operators by using simple pieces of such operators, which are more suited for analysis. These pieces, which are essentially spectral projections, can be chosen in clever ways and have proved to be of tremendous utility in various problems of numerical analysis, multidimensional signal processing, video data compression, and reconstruction of high resolution images and high quality speech. A proliferation of research papers and a couple of books, written in English (there is an earlier book written in French), have emerged on the subject. These books, so far, are written by specialists for specialists, with a heavy mathematical flavor, which is characteristic of the Calderon-Zygmund theory and related research of Duffin-Schaeffer, Daubechies, Grossman, Meyer, Morlet, Chui, and others. Randy Young's monograph is geared more towards practitioners and even non-specialists, who want and, probably, should be cognizant of the exciting proven as well as potential benefits which have either already emerged or are likely to emerge from wavelet theory.

Wavelets and Their Applications

Author : Mei Kobayashi
Publisher : SIAM
ISBN 13 : 9781611971385
Total Pages : 158 pages
Book Rating : 4.9/5 (713 download)

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Book Synopsis Wavelets and Their Applications by : Mei Kobayashi

Download or read book Wavelets and Their Applications written by Mei Kobayashi and published by SIAM. This book was released on 1998-01-01 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of independent case studies demonstrates how wavelet techniques have been used to solve open problems and develop insight into the nature of the systems under study. Each case begins with a description of the problem and points to the specific properties of wavelets and techniques used for determining a solution. The cases range from a very simple wavelet-based technique for reducing noise in laboratory data to complex work on two-dimensional geographical data display conducted at the Earthquake Research Institute in Japan. One case study shows how wavelet analysis is used in the development of a Japanese text-to-speech system for personal computers and another presents new wavelet techniques developed for and applied to the study of atmospheric wind, turbulent fluid, and seismic acceleration data. Although calculus and some junior and senior mathematics courses for scientists and engineers will suffice, a solid background in undergraduate mathematics, particularly analysis and numerical analysis, and some familiarity with the basics of wavelets are helpful for reading this book.

Wavelet Analysis

Author : Sabrine Arfaoui
Publisher : CRC Press
ISBN 13 : 1000369544
Total Pages : 255 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Wavelet Analysis by : Sabrine Arfaoui

Download or read book Wavelet Analysis written by Sabrine Arfaoui and published by CRC Press. This book was released on 2021-04-20 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wavelet Analysis: Basic Concepts and Applications provides a basic and self-contained introduction to the ideas underpinning wavelet theory and its diverse applications. This book is suitable for master’s or PhD students, senior researchers, or scientists working in industrial settings, where wavelets are used to model real-world phenomena and data needs (such as finance, medicine, engineering, transport, images, signals, etc.). Features: Offers a self-contained discussion of wavelet theory Suitable for a wide audience of post-graduate students, researchers, practitioners, and theorists Provides researchers with detailed proofs Provides guides for readers to help them understand and practice wavelet analysis in different areas

Wavelets in Chemistry

Author : Beata Walczak
Publisher : Elsevier
ISBN 13 : 008054374X
Total Pages : 571 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Wavelets in Chemistry by : Beata Walczak

Download or read book Wavelets in Chemistry written by Beata Walczak and published by Elsevier. This book was released on 2000-05-10 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wavelets seem to be the most efficient tool in signal denoising and compression. They can be used in an unlimited number of applications in all fields of chemistry where the instrumental signals are the source of information about the studied chemical systems or phenomena, and in all cases where these signals have to be archived. The quality of the instrumental signals determines the quality of answer to the basic analytical questions: how many components are in the studied systems, what are these components like and what are their concentrations? Efficient compression of the signal sets can drastically speed up further processing such as data visualization, modelling (calibration and pattern recognition) and library search. Exploration of the possible applications of wavelets in analytical chemistry has just started and this book will significantly speed up the process. The first part, concentrating on theoretical aspects, is written in a tutorial-like manner, with simple numerical examples. For the reader's convenience, all basic terms are explained in detail and all unique properties of wavelets are pinpointed and compared with the other types of basis function. The second part presents applications of wavelets from many branches of chemistry which will stimulate chemists to further exploration of this exciting subject.

Wavelets

Author : Stephane Jaffard
Publisher : SIAM
ISBN 13 : 0898714486
Total Pages : 257 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Wavelets by : Stephane Jaffard

Download or read book Wavelets written by Stephane Jaffard and published by SIAM. This book was released on 2001-01-01 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: This long-awaited update of Meyer's Wavelets: Algorithms and Applications includes completely new chapters on four topics: wavelets and the study of turbulence, wavelets and fractals (which includes an analysis of Riemann's nondifferentiable function), data compression, and wavelets in astronomy. The chapter on data compression was the original motivation for this revised edition, and it contains up-to-date information on the interplay between wavelets and nonlinear approximation. The other chapters have been rewritten with comments, references, historical notes, and new material. Four appendices have been added: a primer on filters, key results (with proofs) about the wavelet transform, a complete discussion of a counterexample to the Marr-Mallat conjecture on zero-crossings, and a brief introduction to H?lder and Besov spaces. In addition, all of the figures have been redrawn, and the references have been expanded to a comprehensive list of over 260 entries. The book includes several new results that have not appeared elsewhere.