Wavelets, Volume 2: A Tutorial in Theory and Applications (Wavelet Analysis and Its Applications) [Hardcover]

Charles K. Chui (Author)

Book Description

ISBN-10: 0121745902 | ISBN-13: 978-0121745905 | Publication Date: January 31, 1992

Wavelets: A Tutorial in Theory and Applications is the second volume in the new series WAVELET ANALYSIS AND ITS APPLICATIONS. As a companion to the first volume in this series, this volume covers several of the most important areas in wavelets, ranging from the development of the basic theory such as construction and analysis of wavelet bases to an introduction of some of the key applications, including Mallat's local wavelet maxima technique in second generation image coding. A fairly extensive bibliography is also included in this volume.

Key Features
* Covers several of the most important areas in wavelets, ranging from the development of the basic theory, such as:
* Construction and analysis of wavelet bases, and
* Introduction of some of the key applications, including Mallat's local wavelet maxima technique in second generation image coding
* Extensive bibliography is also included in this volume
* Companion to the first volume in this series, An Introduction to Wavelets, and can be used as supplementary instructional material for a two-semester course on wavelet analysis

Editorial Reviews

From the Back Cover

Wavelets: A Tutorial in Theory and Applications is the second volume in the new series Wavelet Analysis and Its Applications. This is an edited volume of twenty-two chapters authored by various experts in the field. It covers several of the most important areas in wavelets, ranging from the development of the basic theory, such as construction and analysis of wavelet bases, to an introduction of some of the key applications, includling Mallat's local wavelet maxima technique in second generation image coding. A fairly extensive bibliography is also included in this volume. It is a companion to the first volume in this series, An Introduction to Wavelets, and can be used as supplementary instructional material for a two-semester course on wavelet analysis.

Product Details

• Hardcover: 723 pages
• Publisher: Academic Press (January 31, 1992)
• Language: English
• ISBN-10: 0121745902
• ISBN-13: 978-0121745905
• Product Dimensions: 9.3 x 6.3 x 1.4 inches
• Shipping Weight: 2.8 pounds
• Average Customer Review: 3.0 out of 5 stars  See all reviews (1 customer review)
• Amazon Best Sellers Rank: #1,035,565 in Books (See Top 100 in Books)

Customer Reviews

Most Helpful Customer Reviews

14 of 15 people found the following review helpful:

3.0 out of 5 stars Slightly outdated but solid book - more theory than apps, May 15, 2000

By A Customer

This review is from: Wavelets, Volume 2: A Tutorial in Theory and Applications (Wavelet Analysis and Its Applications) (Hardcover)

As the title indicates, this book has some good, solid papers on wavelets/wavelet analysis. The title is a bit misleading -- the book is very theoretical and few of the papers address how wavelet techniques can be used to solve scientific and engineering problems. This is not to say that the book is not valuable -- it is edited by Chui, an extremely successful organizer of conferences, who has extensive experience writing and editing very good books. It is a mathematician's book.

At the time of its publication, this book was one of the better applications books, the other two comparable applications books were edited by: (1) Combes et al. (2) Ruskai et al.. This book has many more references to relevant works than the Combes and Ruskai books.

Unfortunately, 8 years have passed since the publication of this book, and a lot of progress takes place in the field of wavelets. Some techniques which looked promising 8 years ago did not live up to expectations, and some new ideas with very practical applications are not addressed in this book. This second remark may not be entirely fair since applications of wavelets have become so widespread that it would be impossible for any one book to cover all.

This book does not contain problems to assign for homework. It might be appropriate to use some chapters in the book for supplementary reading. in a graduate course or in an upper division special topics course. Unfortunately, the price is a bit high to make it required reading as a supplementary text for a course.

Some of the the theoretical papers, particularly the first 3 in Section I would not be of interest to applications oriented people since no work has followed from these papers. They are very specialized theoretical works.The papers in Section II cover topics which have become a standard tools in wavelet analysis, e.g., splines, biorthogonal wavelets, multiresolution analysis (MRA).Papers in Section III are a bit outdated. There was a period when wavelets were hyped and people in the research community believed that they could lead to improvements in the solution of PDEs. Unfortunately, few new practical tools have emerged. Only the paper on MRA in section IV may be of interest to a wide audience, but it too is rather theoretical. Sections V VI and VII were intended to cover applications to digital signal processing (DSP). If the primary interest of a reader is DSP, this is the wrong book to purchase in this day and age. Mallat's book: a Wavelet Tour of Signal Processing is far more comprehensive and up-to-date.