Product Description

Combines analysis and tools from probability, harmonic analysis, operator theory, and engineering (signal/image processing)

Interdisciplinary focus with hands-on approach, generous motivation and new pedagogical techniques

Numerous exercises reinforce fundamental concepts and hone computational skills

Separate sections explain engineering terms to mathematicians and operator theory to engineers

Fills a gap in the literature

Customer Reviews (1)

One of the most fascinating books which I have ever seen.
Modern electronic devices such as cameras and computers use (among others) the
jpeg-format to store photographs. Millions of people employ such wavelet-based
technology every day. In sharp contrast to that, only a few thousand people on
the planet have a detailed understanding of the mathematics concerning the
C*-algebras O_n even though (as the book under review shows) there is a
strong relationship between the two.

This book entertains and educates the reader with a high-precision tour
connecting very current technological advances such as high-tech filters and
compression methods, classical mathematics such as wavelets and probability
theory and advanced, new mathematical methods such as non-commutative Hilbert
space operator algebra applications. This book distinguishes itself by placing
modern mathematics close to modern technology and by showing (again) that pure
mathematics is not necessarily only for mathematics' sake. The author Palle
E.T. Jorgensen is a world-class mathematician with a distinguished publication
record. This is a book that *every* student of mathematics should read in
order to be guided and motivated what courses to take, what other more basic
books to read, and what research to pursue. This is a book that computer
scientists, physicists and engineers should read. In my opinion, it could
spawn new innovation, maybe no patents, but benefits for all of mankind. ... Read more

Product Description
At no other time in human history have the influence and impact of image processing on modern society, science, and technology been so explosive. Image processing has become a critical component in contemporary science and technology and has many important applications. This book develops the mathematical foundation of modern image processing and low-level computer vision, and presents a general framework from the analysis of image structures and patterns to their processing. The core mathematical and computational ingredients of several important image processing tasks are investigated. The book bridges contemporary mathematics with state-of-the-art methodologies in modern image processing while organizing the vast contemporary literature into a coherent and logical structure.Image processing has traditionally been built on the machinery of Fourier and spectral analysis; however, in the past few decades numerous novel competing methods and tools have emerged. These diversified approaches, although seemingly distinct, are in fact intrinsically connected. The authors integrate this diversity of modern image processing approaches by revealing the few common threads connecting them. Some newer emergent integration efforts have also been highlighted and analyzed. Image Processing and Analysis: Variational, PDE, Wavelet, and Stochastic Methods is systematic and well organized.The authors first investigate the geometric, functional, and atomic structures of images and then rigorously develop and analyze several image processors. The book is comprehensive and integrative, covering the four most powerful classes of mathematical tools in contemporary image analysis and processing while exploring their intrinsic connections and integration.The material is balanced in theory and computation, following a solid theoretical analysis of model building and performance with computational implementation and numerical examples.This book is written for graduate students and researchers in applied mathematics, computer science, electrical engineering, and other disciplines who are interested in problems in imaging and computer vision.It can be used as a reference by scientists with specific tasks in image processing, as well as by researchers with a general interest in finding out about the latest advances.ContentsList of Figures; Preface; Chapter 1: Introduction; Chapter 2: Some Modern Image Analysis Tools; Chapter 3: Image Modeling and Representation; Chapter 4: Image Denoising; Chapter 5: Image Deblurring; Chapter 6: Image Inpainting; Chapter 7: Image Processing: Segmentation; Bibliography; Index. ... Read more

Customer Reviews (3)

High density
This book is indeed valuable in that it touches on many technical areas relevant to modern image processing. It does it with a remarkably deep understanding of the concepts involved and an amazing compactness.

Definitely not for beginners, more for people that have already been introduced to these topics and want to strengthen their knowledge. Ideal for a post-doctoral audience.

A good book
A image processing book written by mathematicians. It is useful both in terms of engineering and theory. Strongly recommended!

Best review of modern imaging analysis techniques
This is, probably, the best book which gives you the most comprehensive review of many modern techniques that have been developed by the computer vision/applied math communities. It is very strong on PDE-based techniques, and various imaging processing issues such as denoising, debluring,impainting, and segmentation. The authors are active researchers on many of the topics. The weakness of the book, is lack of in-depth coverage of statistical and stochastic approaches, though they point out the interesting connections between the PDE-based and statistical-random-field-based approaches, especially Bayesian techniques. A contrasting example is the recent masterpiece: Pattern Theory: From Representation to Inference (Oxford Studies in Modern European Culture). The latter is focused mainly on developing constructive models for the underlying objects (patterns) plus variability, and then using the powerful Bayesian computational tool for pattern inference. The advantage of the statistical approach is to get potentially different solutions due to both natural (prior) uncertainty and measurement uncertainty (incomplete information plus measurement errors). Computationally, the PDE-based approach gives the posterior mode of the Bayesian posterior distribution, while the Bayesian approach may provide more information on the underlying uncertainty in the solution. In summary, the different approaches in image processing can be highly complementary to each other, and it is a good thing that one can get a fairly complete and unbiased treatment in this book by two highly competent researchers. ... Read more

Product Description
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. ... Read more

Product Description
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. ... Read more

Product Description
This book surveys the application of the recently developed technique of the wavelet transform to a wide range of physical fields, including astrophysics, turbulence, meteorology, plasma physics, atomic and solid state physics, multifractals occurring in physics, biophysics (in medicine and physiology) and mathematical physics.The wavelet transform can analyze scale-dependent characteristics of a signal (or image) locally, unlike the Fourier transform, and more flexibly than the windowed Fourier transform developed by Gabor fifty years ago. The continuous wavelet transform is used mostly for analysis, but the discrete wavelet transform allows very fast compression and transmission of data and speeds up numerical calculation, and is applied, for example, in the solution of partial differential equations in physics.This book will be of interest to graduate students and researchers in many fields of physics, and to applied mathematicians and engineers interested in physical application. ... Read more

Customer Reviews (1)

Physics and wavelets.
The subject of wavelets is intermingled with a variety of
more traditional areas of math, and with exciting applications to physics, to engineering and to science in general. Wavelets didn't start in isolation, and even now in its maturity, surprising and deep connections to other areas continue to enrich the subject. The book contains a number of readable
tutorials and survey articles by authorities in astro physics, in turbulence[the largest number of pages are set aside for turbulence], in Navier-Stokes equations, in plasma physics, in solid state and atomic physics, in thermodynamics, in the subject of atmospherical blocking, in atom-laser interaction, mixed in with the math of multi-scale analysis, fractals, in quantum chaos, and more...The individual articles are relatively selfcontained, and the book forms a well edited unity, despite the diversity of contents. The book further serves an important purpose: Without the help of this book, it would be hard for students to extract material from the specialized journal literature. The subjects are well explained, and they are all amenable to the kind of numerical methods where wavelet algorithms excel. ... Read more

Product Description
This unique resource examines the conceptual, computational, and practical aspects of applied signal processing using wavelets.With this book, readers will understand and be able to use the power and utility of new wavelet methods in science and engineering problems and analysis.The text is written in a clear, accessible style avoiding unnecessary abstractions and details.From a computational perspective, wavelet signal processing algorithms are presented and applied to signal compression, noise suppression, and signal identification.Numerical illustrations of these computational techniques are further provided with interactive software (MATLAB code) is available on the world wide web.Topics and Features:

* Continuous wavelet and Gabor transforms* Frame-based theory of discretization and reconstruction of analog signals is developed* New and efficient "overcomplete" wavelet transform is introduced and applied* Numerical illustrations with an object-oriented computational perspective using the Wavelet Signal Processing Workstation (MATLAB code) availableThis new book is an excellent resource for information and computational tools needed to use wavelets in many types of signal processing problems.Graduates, professionals, and practitioners in engineering, computer science, geophysics, and applied mathematics will benefit from using the book and software tools. ... Read more

Customer Reviews (2)

good book with programming
as i feel this book covers the fundamentals needed for
proper understanding of wavelets. then it clearely brings
out the topics such as mra, filter bank approaches along
with matlab programs using which one can actually generate
and feel the wavelet concept. in this way the book creates
interest in the reader. Along with this one can also
use wavelets by gopinath and barrus or by goswami.

This book is well thought out and "clear" in explanations.
First let me say this is an excellent book for a graduate class about Wavelets!As a Doctoral Student I have limited funds, but this book I had topurchase, and did.I've used Wickerhauser, Strang & Nguyen, Cohen,and other texts for my references but yours is well thought out and"clear". The chapter about Over Complete Wavelets and theMatlabGUI makes this a complete guide to wavelets. ... Read more

Product Description
The uniqueness of this book is that it covers such important aspects of modern signal processing as block transforms from subband filter banks and wavelet transforms from a common unifying standpoint, thus demonstrating the commonality among these decomposition techniques. In addition, it covers such "hot" areas as signal compression and coding, including particular decomposition techniques and tables listing coefficients of subband and wavelet filters and other important properties.
The field of this book (Electrical Engineering/Computer Science) is currently booming, which is, of course, evident from the sales of the previous edition. Since the first edition came out there has been much development, especially as far as the applications. Thus, the second edition addresses new developments in applications-related chapters, especially in chapter 4 "Filterbrook Families: Design and Performance," which is greatly expanded.


* Unified and coherent treatment of orthogonal transforms, subbands, and wavelets
* Coverage of emerging applications of orthogonal transforms in digital communications and multimedia
* Duality between analysis and synthesis filter banks for spectral decomposition and synthesis and analysis transmultiplexer structures
* Time-frequency focus on orthogonal decomposition techniques with applications to FDMA, TDMA, and CDMA ... Read more

Customer Reviews (3)

pages 53-84 missing
In my book pages 53-84 are missing.They are occupied by pages 17-48.Nothing's been ripped out.

Most comprehensive book on multiresolution transforms
It is the most comprehensive book on multiresolution transforms and state-of-the-art applications. It provides the theoretical depth without getting lost in the math. It leads the reader to the popular communications and multimedia applications of transforms like DCT, wavelets and filter banks. Akansu & Haddad need to be saluted for their clarity in a field where hype-let has been the fashion.

2nd Edition of the book is a "MUST" classic in multiresolution signals and transforms as a reference volume for researchers and engineering students.

Good core book for wavelets
This book does a good job at providing a unified framework both for wavelets and subband filtering and decomposition, and so I would give it 5 stars were not for it only covers biorthogonal filters in the last chapter,and at the very last moment. If you need to understand how wavelets arerelated to filtering, signal processing and signal compression, this isyour book, but it's not specific to any of this fields, and is very 1Doriented, with 2D processing only mentioned. ... Read more

Product Description
Wavelet and subband transforms have been of great interest inthe fields of engineering and applied mathematics. The theories ofthese powerful signal-processing tools have matured and manyapplications utilizing them are emerging in different disciplines.This book, comprising eleven chapter contributions from prominentresearchers in the field, focuses on communications and multimediaapplications of wavelet and subband transforms.
The first six chapters of this book deal with a variety ofcommunications applications that significantly benefit from waveletand subband theories. Similarly, the remaining five chapters presentrecent advances in multimedia applications of wavelet and subbandtransforms. These chapters interconnect the requirements ofapplications with the underlying theory and their engineeringsolutions. Hence, the reader can easily trace the entire path fromfundamentals to the purpose and merit of the application in hand. Acombined list of references for the entire volume is given at the endof the text that should be helpful to the interested reader forfurther study.
Wavelet, Subband and Block Transforms in Communications andMultimedia will be of particular interest to engineers andscientists who want to learn about state-of-the-art subband andwavelet transform applications as well as their theoreticalunderpinnings. It can also serve as a supplementary book forgraduate-level engineering and applied mathematics courses on waveletand subband transforms. ... Read more

Product Description

From the reviews: "[…] the interested reader will find in Bremaud’s book an invaluable reference because of its coverage, scope and style, as well as of the unified treatment it offers of (signal processing oriented) Fourier and wavelet basics." Mathematical Reviews

Customer Reviews (1)

mathematically rigorous approach to signal processing
If you don't like the sloppy arguments often provided by engineering books, then this is the book for you!The prerequisite is some familiarity with the Lebesgue Integral.The author provides a clean development of the L1 and L2 theory for both Fourier Series and the Fourier Transform.In addition, he covers the basics of signal processing and wavelets in a concise, but rigorous, style. ... Read more

Product Description
Exciting new developments in wavelet theory have attracted much attention and sparked new research in many fields of applied mathematics. New tools are available for efficient data compression, image analysis, and signal processing, and there is a great deal of activity in developing new wavelet methods. The same features that make wavelets useful in these fields also make wavelets a natural and attractive choice in many areas of statistical data analysis.

Essential Wavelets for Statistical Applications and Data Analysis presents an accesible, introductory survey for new wavelet analysis tools and how they can be applied to fundamental data analysis problems. A variety of problems in statistics are discussed in a non-theoretical style, with an emphasis on understanding of wavelet methods. The only technical prerequisite is basic knowledge of undergraduate calculus, linear algebra, and basic statistical theory.

Features:* Accesible, clearly presented background material provided in chapters two, three, and the appendix* Plenty of examples thoughout the book to illustrate step-by-step how the methods work* A variety of statistical application topics, such as non-parametric regression, density estimation, time series spectrial estimation, and change-point problems* A clear, intuitive style of presentation, with mathematics kept to a minimum. Emphasis on the application and understanding of wavelet methods.

The book is ideal for a broad audience which includes advanced students, graduates, and professionals in statistics. All scientists and engineers who use data analysis methods will also find the book accesible and understandable for learning about new wavelet methods and their applications in statistics. ... Read more

Customer Reviews (1)

Good book on wavelets and their statistical applications
This book is a good introduction to wavelets and their statistical applications.The book gives an elementary introduction to wavelets, including filter-bank interpretations.Not very technically advanced frommy point of view (PhD in harmonic analysis), but a good book nonetheless. ... Read more

Product Description

This volume is designed as a textbook for an introductory course on wavelet analysis and time-frequency analysis aimed at graduate students or advanced undergraduates in science and engineering. It can also be used as a self-study or reference book by practicing researchers in signal analysis and related areas. Since the expected audience is not presumed to have a high level of mathematical background, much of the needed analytical machinery is developed from the beginning. The only prerequisites for the first eight chapters are matrix theory, Fourier series, and Fourier integral transforms. Each of these chapters ends with a set of straightforward exercises designed to drive home the concepts just covered, and the many graphics should further facilitate absorption.

Customer Reviews (9)

Better than everage book on wavelet transform
This book gives detailed explanations and derivations of wavelet transform. However, one tends to get lost on a vast number of formulations that are not really helpful for practical uses. If you just want to learn how to use wavelet transform to solve practical problems, this is not the book you should read.

Very thorough treatment, but *not* a beginner's text.
A classic text *but* look at the graph on the cover very carefully because it is the only one you'll get until you reach the last chapters of the book. In terms of the presentation of the basic theorems and equations, the text is excellent ... BUT ... there is precious little to guide a student to an intuitive and practical understanding of the theory. In practice, one looks at the graphical representations of wavelets quite often -- just like the ones used for Fourier analysis (can you imagine your first Fourier analysis class with no graphs of convolution, impulses, etc? Wavelets *are* Fourier analysis taken a step further in order to handle time varying systems. Graphs are essential to the uninitiated.) In fact, it is helpful to think of wavelets (i.e., wavelet packet decompositions) as a Fourier spectrum with an additional time axis added so you can see how the spectrum changes over time. The "wavelet" method simply optimizes the resolution used at different frequencies. True, it is a little more complicated than that, but it is easy to lose sight of the simple elegance of the topic when so many equations are flung at you without intuitive context. The topic could be presented MUCH better, so don't worry that it takes a long time to get through this material. Read other basic wavelet texts first and then *definitely* come back to this one. You will appreciate its otherwise *excellent* presentation much more and the principles will be easier to put into actual practice rather than mere academic conjecture.

A clear introduction to the notation and theory of wavelets
Some reviewers have commented that this is not such a "friendly"
guide if you are not friends with upper division or graduate
level mathematics.There is some truth to this.Unlike the
pragmatic approach taken in "Ripples in Mathematics" this is
a mathematical coverage of wavelets.

For me the value in this book is that it provides a clear
introduction to the notation and theory behind wavelets.This
book provides the tools you need to understand the wavelet
literature better.If you are a software engineer searching
for a quick guide to wavelet algorithms, this book may disappoint.

Reader friendly.
I really did find this lovely book reader friendly!The author has succeeded in communicating the exciting subject of wavelets, and their many applications, to students and more advanced readers alike. He realized that different communities, math, computer science, engineering, and physics,--
that they have variations in their emphasis, their terminology,
and their thinking. When authors speak to the various user groups, and do it well,-- like in this case, the result is a cucess. This friendly book is!

Good theory but lacking applications
It is not a friendly guide to Wavelets. However, chapters 1 one to six are excelent. Chapter 7, Multiresolution Analysis, the heart of the matter is hard to understand. So, you get the flavor of Wavelets but not learn to use it. ... Read more

Product Description
Brings together recent developments in theory and applications of wavelet transforms that are likely to determine fruitful directions for future advanced study and research. ... Read more

Product Description
This book introduces 2-D wavelets via 1-D continuous wavelet transforms. The authors then describe the underlying mathematics before progressing to more advanced topics such as matrix geometry of wavelet analysis and three-dimensional wavelets. Practical applications and illustrative examples are employed extensively throughout, ensuring the book's value to engineers, physicists and mathematicians. Two-dimensional wavelets offer a number of advantages over discrete wavelet transforms, in particular, for analysis of real-time signals in such areas as medical imaging, fluid dynamics, shape recognition, image enhancement and target tracking. ... Read more

Product Description
This book is intended as an introduction to classical Fourier analysis, Fourier series, the Fourier transform, and Fourier sine and cosine transforms. The topics are developed slowly for the reader who has never seen them before, with a preference for clarity of exposition over elegance in stating and proving results. More recent developments, such as the discrete and fast Fourier transforms and wavelets, are covered in the last two chapters, where the approach is elementary, intended for the novice reader. The first three, short, chapters present requisite background material, and these could be read as a short course in functional analysis. The text includes many historical notes to place the material in a cultural and mathematical context; from the fact that Jean Baptiste Joseph Fourier was the nineteenth, but not the last, child in his family to the impact that Fourier series have had on the evolution of the concept of the integral. ... Read more

Customer Reviews (2)

Very good except for some errors
The book is recomendable but it has got several errors. For example, the hint of the exercise 4.7 is not such "hint". Anymore found this or other errors?

Anyway, the exposition is clear and ordered and you will get a great insight on Fourier analyisis.

Great introduction, but clearly a first edition
I'm just finishing a semester-long course which uses this book as an outline and as a source for homework questions.Anyone with basic knowledge of analysis will have no problem picking up this book and learning a great deal about Fourier decomposition and transformations, but there are a few problems with it.The questions at the end of each section don't always make it clear exactly what is to be answered and what is to be assumed.Also, there have been a few questions that neither I, my classmates, nor my professor could solve, which leads me to believe that there are fundamental problems with a few of the questions (I could be wrong though ;) )Finally, the last chapter seems to use different notation for some things than is used in the rest of the book, so be alert.Overall, the clarity of the material outweighs these flaws and if you have any interest in REALLY understanding Fourier and Wavelet series, get this book. ... Read more

Product Description

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

Customer Reviews (5)

Sample chapter is misleading
I'll start out by saying that I am a complete idiot who does not know the first thing about calculus, but I do have 10 years worth of software engineering experience and have no trouble following complicated data processing concepts when they are explained in terms of procedures rather than terse, obfuscated, squiggly equations. The introduction in this book looked promising in that it seemed to be taking a step-by-step "this is how you need to juggle the pixel values around" approach to the concept of wavelet transforms, but as luck would have it, the very next page AFTER the freely available sample is chock full of everything I can't read and didn't want. Of course, my own ignorance is neither the book nor the author's fault, but a better description and/or lengthier excerpt from the publisher could have saved me a lot of trouble ordering and returning this item since it's not something a lot of brick and mortar stores carry on their shelves. The price tag is also more than a little steep for its size, but I suppose the book's target audience is college kids who are used to throwing away hundreds of dollars on whatever their professors tell them to.

I've no doubt that mathematicians will find humor in (and possibly be enraged by) my folly, but maybe this will save a fellow stupid code monkey a little time and money.

Excellent
This is an easy to read book covering simple wavelets relating to computer graphics. This book also provides a very easy and fun explanation of subdivision.

This book is primarily aimed at the application of wavelets, it contains simple and easy to follow illustrations of key concepts, and is very light on proofs. While I may be slightly biased, in that I have a degree in Computer Engineering, I really can't imagine an explanation of wavelets being any easier to read than this book is.

Overall, the authors did an excellent job creating an introductory book on wavelets relating to computer graphics.

An Overview of Wavelets for Computer Graphics
I noticed that Tony DeRose, one of the authors of this book,
was a project lead in Pixar's wonderful film "Monsters".
Computer graphics, especially at the cutting edge practiced
by Pixar is deeply mathematical.This is certainly reflected
in this book.

This book covers a number of areas that are not covered outside
of journal articles.For example, there are chapters on
interpolating wavelets (e.g., wavelets built via splines or
polynomials).The coverage of interpolation and splines to
construct wavelet is good, but the authors quickly gloss over
the other critical half of the problem: how to construct a
scaling function for a given interpolating wavelet.I have
read over this material several times and I have not found the
answer.I have come to doubt that the answer is there, at
least in a complete form.

This characterizes much of the book.The authors cover
important material, but if you are not already deeply
familiar wavelet mathematics, it may be difficult or
impossible to implement an algorith from the coverage
provided in this book.Many practical issues are missing.
For example, many wavelets calculated on a finite data set
like an image can have edge effects.There is little
in this book on minimizing edge effects.

If you are already familiar with wavelet algorithms and their
implementation, this book may be a great reference for wavelet
applications in computer graphics.But it is by no means
an introduction for the novice.

Excellent Introductory Book
I shall be brief and skip saucy words and go tothe main point: Why you should acquire this book? 2 Reasons. 1)Michael Lounsbery, Tony D. DeRose and Joe Warren, "Multiresolution analysis for surfaces of arbitrarytopological type" 2)"Multiresolution curves", AdamFinkelstein and David H. Salesin.

The authors offer their knowledge in anearly stage and this honour them in the largest extent! This book providesan expleantion for these two papers and their branches(papers originatingfrom these theories).

Excellent intro
This is a fine introduction to wavelets for computer scientists, with many fun applications in computer graphics. Easier than other introductions I've seen, in part because it avoids the frequency domain. I'm using it in agraduate course, but it would be easy to use by yourself or in a specialseminar for undergraduates in CS or math. ... Read more

Product Description

This book is a substantially expanded edition of An Introduction to Random Vibrations and Spectral Analysis which now covers wavelet analysis. Basic theory is thoroughly described and illustrated, with a detailed explanation of how discrete wavelet transforms work. Computer algorithms are expalined and supported by examples and set of problems. An appendix lists 10 computer programs for calculating and displaying wavelet transforms.

Customer Reviews (1)

Good DWT section
I am only interested in the last section which is on DWT. This section is a good introduction to DWT analysis. The basic idea behind the wavelet analysis is expalined fairly good in this sectoin. ... Read more

Product Description
Wavelet theory originated from research activities in many areas of science and engineering. As a result, it finds applications in a wide range of practical problems. Wavelet techniques are specifically suited for nonstationary signals for which classic Fourier methods are ineffective.

Based on courses taught by the authors at Texas A&M University as well as related conferences, Fundamentals of Wavelets is a textbook offering an up-to-date engineering approach to wavelet theory. It balances a discussion of wavelet theory and algorithms with its far-ranging practical applications in signal processing, image processing, electromagnetic wave scattering, and boundary value problems.

In a clear, progressive format, the book describes:
* Basic concepts of linear algebra, Fourier analysis, and discrete signal analysis
* Theoretical aspects of time-frequency analysis and multiresolution analysis
* Construction of various wavelets
* Algorithms for computing wavelet transformations.

Concluding chapters present interesting applications of wavelets to signal processing and boundary value problems. Fundamentals of Wavelets is an essential introduction to wavelet theory for students and professionals alike in a practical, real-world engineering context. ... Read more

Customer Reviews (2)

great item but money was not returned when the first order was cancelled
I like the book it was great reading it. But next time dont use post office for your free shipping, they dont deliver in time. Also up till now, I have not receive my money back when amazon cancelled the first booking. Please return my $88.

wavelets for engineers
The marriage of signal processing and wavelets has spun off a host of exciting applications of math and algorithms. The use of wavelets outside of math itself is a recent sucess story. As a rule, it was an unexpected combination of ideas,-- as opposed to a single one, that generated the most powerful applications. The present very nice book is aimed at students taking a service course, for example electrical or optical engineers, but it has broader appeal as well. The authors start with basic principles from math, and move on to multicarrier communication systems..., and boundary value probems. ... Read more

Product Description

Second Generation Wavelets and Applications introduces "second generation wavelets" and the lifting transform that can be used to apply the traditional benefits of wavelets into a wide range of new areas in signal processing, data processing and computer graphics.

This book details the mathematical fundamentals of the lifting transform and illustrates the latest applications of the transform in signal and image processing, numerical analysis, scattering data smoothing and rendering of computer images.

Product Description
An accessible and practical introduction to wavelets

With applications in image processing, audio restoration, seismology, and elsewhere, wavelets have been the subject of growing excitement and interest over the past several years. Unfortunately, most books on wavelets are accessible primarily to research mathematicians. Discovering Wavelets presents basic and advanced concepts of wavelets in a way that is accessible to anyone with only a fundamental knowledge of linear algebra.

The basic concepts of wavelet theory are introduced in the context of an explanation of how the FBI uses wavelets to compress fingerprint images. Wavelet theory is further developed in the setting of function spaces. The book then moves on to present more advanced topics such as filters, multiresolution analysis, Daubechies' wavelets, and further applications. The book concludes with a series of projects and problems that introduce advanced topics and offer starting points for research. Sample projects that demonstrate real wavelet applications include image compression, a wavelet-based search engine, processing with Daubechies' wavelets, and more.

Among the special features of Discovering Wavelets are:
* Real-life, hands-on examples that involve actual wavelet applications
* A companion Web site containing Pixel Images software and Maple files to be used with the projects in the book
* Challenging problems that reinforce and expand on the ideas being developed
* An appendix containing the linear algebra needed to understand wavelets as presented in the book ... Read more

Customer Reviews (5)

Heavy on group theory and math
This is a book about a very math heavy subject, but does try and put a more practical spin on it. If you have been away from math (Calculus and group theory) it MAY NOT be for you. If you pick up new things quickly, that is the intent.

Great Book
As part of a graduate course I was taking, I needed to put a presentation together on multiresolution analysis. To be honest, I knew nothing about wavelets and most of the books (including the classics such as Mallat's "A Wavelet Tour of Signal Processing" and Daubechies' "10 Lectures on Wavelets") jumped right into the theory without laying, in my opinion, the necessary foundation. I was frustrated.

Then I came upon this book. It was fantastic. The presentation of the subject in linear algebra terms was novel and was just what I was looking for. The presentation was crisp, concise and easy to understand. The problems presented in the text were placed after main ideas were presented rather than at the end of the chapter. And, many of the problems were designed to be a continuation of the text itself. A great approach.

After studying the subject as it was presented, I was able to read through the classics with a better understanding and appreciation of the subject.

In short, this is a wonderful book and I highly recommend it.

More like "Lecture Notes on Wavelets"
If the book provided
a clear introduction to wavelets and their implementation,
this would be fine.In fact, this book is more like a set
of lecture notes than a complete text book. I had already implemented Haar
wavelets and had started working on Daubechies wavelets.
Even with this background, I found the coverage in this
book obscure and difficult to understand.The authors
approach wavelets, including Haar wavelets, through
linear algebra.While this can be justified by the fact
that complex wavelets like Daubechies are best described
this way, the coverage in this book is obscure.I compare
this to Gilbert Strang's short paper "Wavelets", published
in American Scientist, April 1994.
It is difficult for me to see how anyone could understand
Daubechies wavelets with this book alone.

My advice is buy another book.

Discovering Wavelets
Prior to this book I tried about 5 books and was not able tounderstand wavelets.This book gets directly to the point.It presents waveletsfirst as a tool (my interest) not as a "theory".However, thetheory is introduced later.I am currently using wavelets in my research(analyzing geophysical signals).

Good Practical Introduction
This book is an excellent practical introduction to wavelets. The mathematical level is appropriate for a non-mathematician learning about wavelets. Emphasis was placed on the Haar wavelet (although the Daubechieswavelet was introduced in section 3.6), making the concepts easier tounderstand. The problems were placed strategically throughout the chaptersinstead of at the end. This, I think, is the preferred method. Solving mostof the problems (which was usually not difficult) was essential tounderstanding the material. The book is short, only four chapters, fourappendices, and 125 pages. The chapter titles are: 1) Wavelets,Fingerprints, and Image Processing, 2) Wavelets and OrthogonalDecomposition, 3) Multiresolution, Cascades, and Filters, and 4) SampleProjects.On a scale of one (useless) to ten (very useful), I would ratethe chapters: Ch1-8, Ch2-10, Ch3-9, and Ch4-3.

The shortcomings of thebook are in what it lacks. It does not cover the relationship betweenFourier analysis and wavelets, or how to apply the many different types ofwavelets (other than Haar or Daubechies) to particular problems. Theprogramming language used was Maple. I would have preferred pseudo code orC. The application of wavelets to images was somewhat limited.

Inconclusion I would say this book is excellent as a stepping stone to othermore advanced books on wavelets. It will not answer all of your waveletquestions, but it will significantly lessen the learning curve for thebooks that will. ... Read more

Product Description
This highly acclaimed work has so far been available only in French. It is a detailed survey of a variety of techniques for time-frequency/time-scale analysis (the essence of "Wavelet Analysis"). This book has broad and comprehensive coverage of a topic of keen interest to a variety of engineers, especially those concerned with signal and image processing. Flandrin provides a discussion of numerous issues and problems that arise from a mixed description in time and frequency, as well as problems in interpretation inherent in signal theory.

Key Features
* Detailed coverage of both linear and quadratic solutions
* Various techniques for both random and deterministic signals ... Read more

Customer Reviews (1)

A great reference book.
I do research in time-frequency analysis and have been amazed at the wealth of information in this book.This book covers many of the topics of recent and current research in the field of time-frequency analysis.

Although this is volume 10 in the "Wavelet Analysis and its Applications" series by Academic Press, don't be misled into thinking that this a book on wavelets alone.If you want a wavelet book I recommend the "Wavelets and Subband Coding" by Martin Vetterli and Jelena Kovacevic.

(From the cover) "This book offers a discussion of problems that emerge from a mixed description in time and frequency, and it comprises a detailed construction of the principle classes of admissible solutions (short-time Fourier, wavelets, Wigner-Ville, Cohen's class, affine distributions, etc.)It also addresses numerous issues of interpretation related to such representations and shows how to reformulate several important problems in signal theory by utilizing time-frequency distributions."

A bonus for researchers is that although it not mentioned in the book, Flandrin has a public domain set of Matlab routines to compute many of the techniques described in the book.

Finally, an indication of the scope and thoroughness of the book is that it concludes with a 20 page bibliography.

This book makes a nice companion to the book "Time-Frequency Analysis" by Leon Cohen.Although there is a good deal of overlap in the material they are different enough to warrant owning both.

Highly recommended. ... Read more