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Discrete Wavelet Transformations: An Elementary Approach with Applications
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Home > Mathematics Books > Wavelets > Item 28
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Discrete Wavelet Transformations: An Elementary Approach with Applications
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by Patrick Van Fleet
Sales Rank: 724245
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List Price: $115.00
$92.00
At Amazon
on 10-13-2008
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Hardcover: 535 pages
Publisher: Wiley-Interscience January 18, 2008
Language: English
ISBN-10: 047018311X
ISBN-13: 978-0470183113
Product Dimensions:
9.3 x 6.4 x 1.3 inches
Shipping Weight: 2 pounds
Product Description
Discrete Wavelet Transformations takes an "applications first" approach, as opposed to presenting the material in the typical format of definition, theorem, proof, example etc. Instead this book immediately immerses students in applications. Readers gain an appreciation and mastery of the discrete wavelet transform and learn of its value in problems such as data compression, signal de-noising, and image edge detection. Subjects covered include digital images, quantitative/qualitative measures, and encoding; introduction to the Fourier Series; and detailed development of pseudocode.
Back Cover Copy
An "applications first" approach to discrete wavelet transformations
Discrete Wavelet Transformations provides readers with a broad elementary introduction to discrete wavelet transformations and their applications. With extensive graphical displays, this self-contained book integrates concepts from calculus and linear algebra into the construction of wavelet transformations and their various applications, including data compression, edge detection in images, and signal and image denoising.
The book begins with a cursory look at wavelet transformation development and illustrates its allure in digital signal and image applications. Next, a chapter on digital image basics, quantitative and qualitative measures, and Huffman coding equips readers with the tools necessary to develop a comprehensive understanding of the applications. Subsequent chapters discuss the Fourier series, convolution, and filtering, as well as the Haar wavelet transform to introduce image compression and image edge detection. The development of Daubechies filtersis presented in addition to coverage of wavelet shrinkage in the area of image and signal denoising. The book concludes with the construction of biorthogonal filters and also describes their incorporation in the JPEG2000 image compression standard.
The author's "applications first" approach promotes a hands-on treatment of wavelet transforma-tion construction, and over 400 exercises are presented in a multi-part format that guide readers through the solution to each problem. Over sixty computer labs and software development projects provide opportunities for readers to write modules and experiment with the ideas discussed throughout the text. The author's software package, DiscreteWavelets, is used to perform various imaging and audio tasks, compute wavelet transformations and inverses, and visualize the output of the computations. Supplementary material is also available via the book's related Web site, which includes an audio and video repository, final project modules, and softwarefor reproducing examples from the book. All software, including the DiscreteWavelets package, is available for use with Mathematica®, MATLAB®, and Maple.
Discrete Wavelet Transformations strongly reinforces the use of mathematics in digital data applications, sharpens programming skills, and provides a foundation for further study of more advanced topics, such as real analysis. This book is ideal for courses on discrete wavelet transforms and their applications at the undergraduate level and also serves as an excellent reference for mathematicians, engineers, and scientists who wish to learn about discrete wavelet transforms at an elementary level.
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Discrete Wavelet Transformations: An Elementary Approach with Applications
Available from Amazon
Price: $92.00
Updated on 10-13-2008
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