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Wavelets Theory and Its Applications

2018-11-03 Mathematics
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Release : 2018-11-03
Genre : Mathematics
Kind : eBook
Book Rating : 952/5 ( reviews)

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Book Synopsis Wavelets Theory and Its Applications by : Mani Mehra

Download or read book Wavelets Theory and Its Applications written by Mani Mehra. This book was released on 2018-11-03. Available in PDF, EPUB and Kindle. Book excerpt: This book provides comprehensive information on the conceptual basis of wavelet theory and it applications. Maintaining an essential balance between mathematical rigour and the practical applications of wavelet theory, the book is closely linked to the wavelet MATLAB toolbox, which is accompanied, wherever applicable, by relevant MATLAB codes. The book is divided into four parts, the first of which is devoted to the mathematical foundations. The second part offers a basic introduction to wavelets. The third part discusses wavelet-based numerical methods for differential equations, while the last part highlights applications of wavelets in other fields. The book is ideally suited as a text for undergraduate and graduate students of mathematics and engineering.

Wavelet Theory and Its Applications

2012-12-06 Technology & Engineering
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Release : 2012-12-06
Genre : Technology & Engineering
Kind : eBook
Book Rating : 840/5 ( reviews)

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Book Synopsis Wavelet Theory and Its Applications by : Randy K. Young

Download or read book Wavelet Theory and Its Applications written by Randy K. Young. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: The continuous wavelet transform has deep mathematical roots in the work of Alberto P. Calderon. His seminal paper on complex method of interpolation and intermediate spaces provided the main tool for describing function spaces and their approximation properties. The Calderon identities allow one to give integral representations of many natural operators by using simple pieces of such operators, which are more suited for analysis. These pieces, which are essentially spectral projections, can be chosen in clever ways and have proved to be of tremendous utility in various problems of numerical analysis, multidimensional signal processing, video data compression, and reconstruction of high resolution images and high quality speech. A proliferation of research papers and a couple of books, written in English (there is an earlier book written in French), have emerged on the subject. These books, so far, are written by specialists for specialists, with a heavy mathematical flavor, which is characteristic of the Calderon-Zygmund theory and related research of Duffin-Schaeffer, Daubechies, Grossman, Meyer, Morlet, Chui, and others. Randy Young's monograph is geared more towards practitioners and even non-specialists, who want and, probably, should be cognizant of the exciting proven as well as potential benefits which have either already emerged or are likely to emerge from wavelet theory.

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.

Fundamentals of Wavelets

2011-03-08 Computers
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Release : 2011-03-08
Genre : Computers
Kind : eBook
Book Rating : 646/5 ( reviews)

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Book Synopsis Fundamentals of Wavelets by : Jaideva C. Goswami

Download or read book Fundamentals of Wavelets written by Jaideva C. Goswami. This book was released on 2011-03-08. Available in PDF, EPUB and Kindle. Book excerpt: Most existing books on wavelets are either too mathematical or they focus on too narrow a specialty. This book provides a thorough treatment of the subject from an engineering point of view. It is a one-stop source of theory, algorithms, applications, and computer codes related to wavelets. This second edition has been updated by the addition of: a section on "Other Wavelets" that describes curvelets, ridgelets, lifting wavelets, etc a section on lifting algorithms Sections on Edge Detection and Geophysical Applications Section on Multiresolution Time Domain Method (MRTD) and on Inverse problems

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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