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A Wavelet Tour of Signal Processing: The Sparse Way (Englisch) Gebundene Ausgabe – 23. Januar 2009

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"There is no question that this revision should be published. Mallat's book is the undisputed reference in this field - it is the only one that covers the essential material in such breadth and depth." - Laurent Demanet, Stanford University

"This graduate-level textbook presents an excellently written, comprehensive survey of all major concepts, techniques, and applications of sparse representations which play a key role in signal processing" -- Manfred Tasche (Rostock), Zentralblatt MATH

"There is no question that this revision should be published. Mallat s book is the undisputed reference in this field it is the only one that covers the essential material in such breadth and depth." - Laurent Demanet, Stanford University"


The new edition of this classic gives all the major concepts, techniques and applications of sparse representation, reflecting the key role the subject plays in today's signal processing. The book clearly presents the standard representations of Fourier, wavelet and time-frequency tools which enable sparse representations of large classes of signals and images, including the construction of orthogonal bases with fast algorithms. The central concept of sparsity is explained and applied to signal compression, noise reduction and inverse problems, while coverage is given to sparse representations in redundant dictionaries, super-resolution and compressive sensing applications.Features of this title include: balances presentation of the mathematics with applications to signal processing; algorithms and numerical examples are implemented in Wavelab, a MATLAB toolbox; and, companion website for instructors and selected solutions and code available for students.

New in the third edition include: sparse signal representations in dictionaries; compressive sensing, super-resolution and source separation; geometric image processing with curvelets and bandlets; wavelets for computer graphics with lifting on surfaces; time-frequency audio processing and denoising; image compression with JPEG-2000; and, new exercises."A Wavelet Tour of Signal Processing: The Sparse Way, Third Edition" is an invaluable resource for researchers and R&D engineers wishing to apply the theory in fields such as image processing, video processing and compression, bio-sensing, medical imaging, machine vision and communications engineering. 'Mallat's book is the undisputed reference in this field - it is the only one that covers the essential material in such breadth and depth' - Laurent Demanet, Stanford University. This book includes all the latest developments since the book was published in 1999, including its application to JPEG 2000 and MPEG-4.

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Amazon.com: HASH(0x93990594) von 5 Sternen 30 Rezensionen
32 von 35 Kunden fanden die folgende Rezension hilfreich
HASH(0x932a5fcc) von 5 Sternen looks deceive 19. März 2009
Von Amazon Customer - Veröffentlicht auf Amazon.com
Format: Gebundene Ausgabe
The main attraction of Mallat's book is the wide range of the material it covers, but I feel that this feature is more than outweighed by its multitude of failings. Having used it as a textbook in an applied math course, I'm intimately acquainted with those failings.

At first glance, this is an impressive work: it covers everything from Fourier analysis (in L1,L2,distributions,discrete) and the sampling theorem, to frames and Riesz bases, to the continuous wavelet transform, to the discrete wavelet transform, to wavelets on intervals, to wavelets via lifting, and talks about using wavelets to characterize regularity and fractal signals-- and that's just what I've looked at so far--... so it's quite encyclopedic. Perhaps that is why the book is unpalatable; it has more the character of an information dump than the leisurely tour suggested by the title.

The order of the presentation is horribly confusing: the results on frames, wavelets, and Riesz bases are presented in a mishmash that makes it hard to keep in mind the logical order of their development. Lots of important details aren't mentioned, or are given short shrift, e.g. the properties of the discrete Fourier transform are not enumerated the way those of the continuous Fourier transform are, so you must verify that analogues hold. In particular, little to no attention is given to numerical implementation of the algorithms-- e.g. he shows spectrograms and periodograms without saying how they are generated-- and when some lip service is paid to these issues, he is sparse on the details, and confusing. This is particularly annoying because the gaps in your knowledge don't show until you start trying to program these algorithms.

All of these failings pale in comparison to the poor editing: this book *abounds* in typos, both subtle and obvious. You simply can't take anything it states at face value.

My suggestion: pick an area you're interested in (frames, dyadic wavelets, second generation wavelets, numerical implementations of wavelets, etc.) and find a more appropriate specialized book.
11 von 11 Kunden fanden die folgende Rezension hilfreich
HASH(0x932a93c0) von 5 Sternen Pretty encyclopedic these days 3. September 2009
Von Joel Kolstad - Veröffentlicht auf Amazon.com
Format: Gebundene Ausgabe Vine Kundenrezension eines kostenfreien Produkts ( Was ist das? )
Mallat's 800 page tome here is a very encyclopedic coverage of contemporary wavelet techniques and tricks. It takes the form of a "traditional" textbook: While there are some very brief refreshers on linear algebra, calculus, and statistics in an appendix, make no mistake -- there's a lot of advanced mathematics in the book, beyond what many (probably even the majority) of engineers learn during their undergraduate years. Additionally, while there are plenty of good "homework" problems at the end of each chapter, no solutions are provided. This all has several implications:

-- This isn't really the book you want for self-study if you aren't already familiar with wavelets. I'd suggest something like "A Primer on Wavelets and Their Scientific Applications" by Walker for that.
-- It can be a fine book for a college class on wavelets. I suspect the best approach would be for an instructor to use his own notes, assign reading for reinforcement, and problems from the end of each chapter. The deal here is that, in many cases, making good use of the results doesn't always require a full understanding of the mathematical underpinnings of the subject, and an instructor can guide students around what matters if they just want to apply the results (most students) vs. obtaining a deeper understanding that could be used to conduct new research or whatever (the very occasional student).
-- It is, of course, a fine reference for anyone already working in the field and familiar with the subject. Mallat is a pretty brilliant guy.

Note that Google Books has a copy of the earlier 2nd edition on-line; this might be handy for some people.
16 von 18 Kunden fanden die folgende Rezension hilfreich
HASH(0x932a4aa4) von 5 Sternen Totally unorganized, and imossible to comprehend 8. Mai 2010
Von OM - Veröffentlicht auf Amazon.com
Format: Gebundene Ausgabe
This book may be okay as a reference book for someone who already has a PhD in Mathematics and is very familiar with function spaces and decompositions.

The author has truly advance the state of the art with his groundbreaking papers in wavelets/filter banks, but he has no business writing a book.

I have been trying to use this as a text book for my image processing with wavelets class and it has given my an enormous amounts of pain an agony. I can not find a single topic that I can read and understand from his book, so I had to look at other references.

In chapter 5 he keeps referring to the fact that you have to read chapter 7 first --- why not reverse the order then?

In chapter 1, he would suddenly start referring to advanced concepts which he has not yet talked about.

Not to mention the large number of typos.

what a mess....
4 von 4 Kunden fanden die folgende Rezension hilfreich
HASH(0x932a4594) von 5 Sternen Not for introduction to subject 12. Juli 2010
Von Gerry Van Winkle - Veröffentlicht auf Amazon.com
Format: Gebundene Ausgabe Verifizierter Kauf
I bought this book based on the author Mallat being a big name in the field of wavelets. I was trying to use it as self-study as an introduction to wavelets. The style of writing is like a stream of conscienceness. I'm guessing the book is meant as a reference for experts in the field. If you are looking for an introduction, this is not the book.
2 von 2 Kunden fanden die folgende Rezension hilfreich
HASH(0x932af0e4) von 5 Sternen Overwhelming in quality and quanity! 6. September 2009
Von K. Miller - Veröffentlicht auf Amazon.com
Format: Gebundene Ausgabe Vine Kundenrezension eines kostenfreien Produkts ( Was ist das? )
I picked this book up after talking with some of the DSP guys at my office on what was the best book to get started in field with. Almost all of them had some version of this text on their desk or knew where to get their hands on one. All of them spoke very highly of it and I was excited to find a new edition copy.

Having looked through the book and read the sections relating to stuff I do or have done I have a few observations:

This is an awesome reference book if you remember something from class a few years ago and need a refresher.

Each chapter has a list of questions at the end, sadly I can't find a list of answers in the book or available online.

This is not a book for a beginner. If you don't have a background in the subject or a good source to ask questions of I don't think you'll be able to get much out of it.

I would have benefited from some real time examples either on a CD/website for some of the concepts to bridge the gap between text and application. The book has numerous figures showing various levels of processing that would make a great java applet example. If I was taking a college class I'm sure this would be more accessible, trying to study on my own at home and work it's hard to come by examples that illustrate the cases from the text.

All in all it's an amazing text and reference, just not for the newbie.
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