Steven Schlicker

Edward Aboufadel

An accessible and practical introduction to wavelets With applications in image processing, audio restoration,seismology, and elsewhere, wavelets have been the subject ofgrowing excitement and interest over the past several years.Unfortunately, most books on wavelets are accessible primarily toresearch mathematicians. Discovering Wavelets presents basic andadvanced concepts of wavelets in a way that is accessible to anyonewith only a fundamental knowledge of linear algebra. The basic concepts of wavelet theory are introduced in the contextof an explanation of how the FBI uses wavelets to compressfingerprint images. Wavelet theory is further developed in thesetting of function spaces. The book then moves on to present moreadvanced topics such as filters, multiresolution analysis,Daubechies' wavelets, and further applications. The book concludeswith a series of projects and problems that introduce advancedtopics and offer starting points for research. Sample projects thatdemonstrate real wavelet applications include image compression, awavelet-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 waveletapplications * A companion Web site containing Pixel Images software and Maplefiles to be used with the projects in the book * Challenging problems that reinforce and expand on the ideas beingdeveloped * An appendix containing the linear algebra needed to understandwavelets as presented in the book

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