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Wavelets and Their Applications

1994-08-31 Mathematics
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Release : 1994-08-31
Genre : Mathematics
Kind : eBook
Book Rating : 783/5 ( reviews)

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Book Synopsis Wavelets and Their Applications by : J.S. Byrnes

Download or read book Wavelets and Their Applications written by J.S. Byrnes. This book was released on 1994-08-31. Available in PDF, EPUB and Kindle. Book excerpt: It is probably true quite generally that in the history of human thinking the most fruitful developments frequently take place at those points where two different lines of thought meet. Hence, if they actually meet, that is, if they are at least so much related to each other that a real interaction can take place, then one may hope that new and interesting developments may follow. Werner Heisenberg This volume contains papers presented at the August 1992 NATO Advanced Study Institute on Wavelets and Their Applications. The conference was held at the beautiful Il Ciocco resort near Lucca, in the glorious Tuscany region of northern Italy. Once again we gathered at this idyllic spot to explore and extend the reciprocity between mathematics and engineering. The dynamic interaction between world-renowned scientists from the usu ally disparate communities of pure mathematicians and applied scientists, which occurred at our 1989 and 1991 ASI's, continued at this meeting. Wavelet theory and technology is in an important growth stage at which theoretical and practical results are being compared with existing methods. There have been spectacular wavelet successes and sobering comparisons with traditional ideas-but still there is a wide expanse of scientific problems to explore. Since these problems lie at the forefront of both pure mathematics and applied science, our NATO ASI was especially pertinent at this time.

Two Versions of Wavelets and Applications

2006 Mathematics
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Release : 2006
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Two Versions of Wavelets and Applications by : Abdellatif Jouini

Download or read book Two Versions of Wavelets and Applications written by Abdellatif Jouini. This book was released on 2006. Available in PDF, EPUB and Kindle. Book excerpt: Presents a treatment and description of discrete and generalized wavelet analysis and how they can be applied to fundamental data analysis problems. This book provides a study of transmutation operators, the harmonic analysis, generalized wavelets, and generalized wavelet packets associated with differential and differential-difference operators.

Two-Dimensional Wavelets and their Relatives

2008-06-12 Technology & Engineering
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Release : 2008-06-12
Genre : Technology & Engineering
Kind : eBook
Book Rating : 149/5 ( reviews)

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Book Synopsis Two-Dimensional Wavelets and their Relatives by : Jean-Pierre Antoine

Download or read book Two-Dimensional Wavelets and their Relatives written by Jean-Pierre Antoine. This book was released on 2008-06-12. Available in PDF, EPUB and Kindle. Book excerpt: Two-dimensional wavelets offer a number of advantages over discrete wavelet transforms, in particular for analysis of real-time signals. This book provides thorough and comprehensive treatment of 2-D wavelets, with extensive use of practical applications and illustrative examples throughout. For engineers, physicists and mathematicians.

Wavelet Theory

2011-09-15 Mathematics
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Release : 2011-09-15
Genre : Mathematics
Kind : eBook
Book Rating : 667/5 ( reviews)

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Book Synopsis Wavelet Theory by : David K. Ruch

Download or read book Wavelet Theory written by David K. Ruch. This book was released on 2011-09-15. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained, elementary introduction to wavelet theory and applications Exploring the growing relevance of wavelets in the field of mathematics, Wavelet Theory: An Elementary Approach with Applications provides an introduction to the topic, detailing the fundamental concepts and presenting its major impacts in the world beyond academia. Drawing on concepts from calculus and linear algebra, this book helps readers sharpen their mathematical proof writing and reading skills through interesting, real-world applications. The book begins with a brief introduction to the fundamentals of complex numbers and the space of square-integrable functions. Next, Fourier series and the Fourier transform are presented as tools for understanding wavelet analysis and the study of wavelets in the transform domain. Subsequent chapters provide a comprehensive treatment of various types of wavelets and their related concepts, such as Haar spaces, multiresolution analysis, Daubechies wavelets, and biorthogonal wavelets. In addition, the authors include two chapters that carefully detail the transition from wavelet theory to the discrete wavelet transformations. To illustrate the relevance of wavelet theory in the digital age, the book includes two in-depth sections on current applications: the FBI Wavelet Scalar Quantization Standard and image segmentation. In order to facilitate mastery of the content, the book features more than 400 exercises that range from theoretical to computational in nature and are structured in a multi-part format in order to assist readers with the correct proof or solution. These problems provide an opportunity for readers to further investigate various applications of wavelets. All problems are compatible with software packages and computer labs that are available on the book's related Web site, allowing readers to perform various imaging/audio tasks, explore computer wavelet transformations and their inverses, and visualize the applications discussed throughout the book. Requiring only a prerequisite knowledge of linear algebra and calculus, Wavelet Theory is an excellent book for courses in mathematics, engineering, and physics at the upper-undergraduate level. It is also a valuable resource for mathematicians, engineers, and scientists who wish to learn about wavelet theory on an elementary level.

Wavelets for Computer Graphics

1996 Computers
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Release : 1996
Genre : Computers
Kind : eBook
Book Rating : 752/5 ( reviews)

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Book Synopsis Wavelets for Computer Graphics by : Eric J. Stollnitz

Download or read book Wavelets for Computer Graphics written by Eric J. Stollnitz. This book was released on 1996. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to wavelets provides computer graphics professionals and researchers with the mathematical foundations for understanding and applying this powerful tool.

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