Discovering Wavelets
Discovering Wavelets by Edward Aboufadel, published by Wiley-Interscience on October 5, 1999, is a practical introduction to wavelet theory, spanning 144 pages in English. This book aims to make the concepts of wavelets accessible to readers with a basic understanding of linear algebra, addressing the growing interest in wavelets and their applications in fields such as image processing, audio restoration, and seismology.
Readers will find a structured exploration of both basic and advanced wavelet concepts, including real-life applications like fingerprint image compression and multiresolution analysis. The book features hands-on examples, a companion website with software resources, and a series of projects and problems designed to deepen understanding and encourage further research. Topics such as filters and Daubechies’ wavelets are also covered, providing a comprehensive overview of wavelet theory and its practical implications.
Official synopsis Publisher
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
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