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Different Perspectives On Wavelets

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Different Perspectives On Wavelets

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Author : Ingrid Daubechies
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-04-30

Different Perspectives On Wavelets written by Ingrid Daubechies and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-30 with Mathematics categories.

The wavelet transform can be seen as a synthesis of ideas that have emerged since the 1960s in mathematics, physics, and electrical engineering. The basic idea is to use a family of ``building blocks'' to represent in an efficient way the object at hand, be it a function, an operator, a signal, or an image. The building blocks themselves come in different ``sizes'' which can describe different features with different resolutions. The papers in this book attempt to give some theoretical and technical shape to this intuitive picture of wavelets and their uses. The papers collected here were prepared for an AMS Short Course on Wavelets and Applications, held at the Joint Mathematics Meetings in San Antonio in January 1993. Here readers will find general background on wavelets as well as more detailed views of specific techniques and applications. With contributions by some of the top experts in the field, this book provides an excellent introduction to this important and growing area of research.

Different Perspectives On Wavelets American Mathematical Society Short Course Held At San Antonio Texas 01 11 93 01 12 93

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Author : INGRID ED. DAUBECHIES
language : en
Publisher:
Release Date : 1993

Different Perspectives On Wavelets American Mathematical Society Short Course Held At San Antonio Texas 01 11 93 01 12 93 written by INGRID ED. DAUBECHIES and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with categories.

Wavelets From A Statistical Perspective

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Author : Maarten Jansen
language : en
Publisher: CRC Press
Release Date : 2022-04-18

Wavelets From A Statistical Perspective written by Maarten Jansen and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-18 with Business & Economics categories.

Wavelets from a Statistical Perspective offers a modern, 2nd generation look on wavelets, far beyond the rigid setting of the equispaced, dyadic wavelets in the early days. With the methods of this book, based on the lifting scheme, researchers can set up a wavelet or another multiresolution analysis adapted to their data, ranging from images to scattered data or other irregularly spaced observations. Whereas classical wavelets stand a bit apart from other nonparametric methods, this book adds a multiscale touch to your spline, kernel or local polynomial smoothing procedure, thereby extending its applicability to nonlinear, nonparametric processing for piecewise smooth data. One of the chapters of the book constructs B-spline wavelets on nonequispaced knots and multiscale local polynomial transforms. In another chapter, the link between wavelets and Fourier analysis, ubiquitous in the classical approach, is explained, but without being inevitable. In further chapters the discrete wavelet transform is contrasted with the continuous version, the nondecimated (or maximal overlap) transform taking an intermediate position. An important principle in designing a wavelet analysis through the lifting scheme is finding the right balance between bias and variance. Bias and variance also play a crucial role in the nonparametric smoothing in a wavelet framework, in finding well working thresholds or other smoothing parameters. The numerous illustrations can be reproduced with the online available, accompanying software. The software and the exercises can also be used as a starting point in the further exploration of the material.

Different Perspectives On Wavelets

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Author : Ingrid Daubechies
language : en
Publisher: American Mathematical Society(RI)
Release Date : 2014-05-10

Different Perspectives On Wavelets written by Ingrid Daubechies and has been published by American Mathematical Society(RI) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with SCIENCE categories.

A Primer On Wavelets And Their Scientific Applications

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Author : James S. Walker
language : en
Publisher: CRC Press
Release Date : 2008-01-29

A Primer On Wavelets And Their Scientific Applications written by James S. Walker and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-29 with Mathematics categories.

In the first edition of his seminal introduction to wavelets, James S. Walker informed us that the potential applications for wavelets were virtually unlimited. Since that time thousands of published papers have proven him true, while also necessitating the creation of a new edition of his bestselling primer. Updated and fully revised to include th

Wavelets From A Statistical Perspective

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Author : Maarten Jansen
language : en
Publisher: CRC Press
Release Date : 2022-04-18

Wavelets

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Author : Laura Montefusco
language : en
Publisher: Elsevier
Release Date : 2014-06-28

Wavelets written by Laura Montefusco and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.

Wavelets: Theory, Algorithms, and Applications is the fifth volume in the highly respected series, WAVELET ANALYSIS AND ITS APPLICATIONS. This volume shows why wavelet analysis has become a tool of choice infields ranging from image compression, to signal detection and analysis in electrical engineering and geophysics, to analysis of turbulent or intermittent processes. The 28 papers comprising this volume are organized into seven subject areas: multiresolution analysis, wavelet transforms, tools for time-frequency analysis, wavelets and fractals, numerical methods and algorithms, and applications. More than 135 figures supplement the text.Features theory, techniques, and applicationsPresents alternative theoretical approaches including multiresolution analysis, splines, minimum entropy, and fractal aspectsContributors cover a broad range of approaches and applications

Wavelets And Statistics

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Author : Anestis Antoniadis
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Wavelets And Statistics written by Anestis Antoniadis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Despite its short history, wavelet theory has found applications in a remarkable diversity of disciplines: mathematics, physics, numerical analysis, signal processing, probability theory and statistics. The abundance of intriguing and useful features enjoyed by wavelet and wavelet packed transforms has led to their application to a wide range of statistical and signal processing problems. On November 16-18, 1994, a conference on Wavelets and Statistics was held at Villard de Lans, France, organized by the Institute IMAG-LMC, Grenoble, France. The meeting was the 15th in the series of the Rencontres Pranco-Belges des 8tatisticiens and was attended by 74 mathematicians from 12 different countries. Following tradition, both theoretical statistical results and practical contributions of this active field of statistical research were presented. The editors and the local organizers hope that this volume reflects the broad spectrum of the conference. as it includes 21 articles contributed by specialists in various areas in this field. The material compiled is fairly wide in scope and ranges from the development of new tools for non parametric curve estimation to applied problems, such as detection of transients in signal processing and image segmentation. The articles are arranged in alphabetical order by author rather than subject matter. However, to help the reader, a subjective classification of the articles is provided at the end of the book. Several articles of this volume are directly or indirectly concerned with several as pects of wavelet-based function estimation and signal denoising.

The World According To Wavelets

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Author : Barbara Burke Hubbard
language : en
Publisher: CRC Press
Release Date : 1998-05-30

The World According To Wavelets written by Barbara Burke Hubbard and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-30 with Mathematics categories.

This best-selling book introduces a broad audience including scientists and engineers working in a variety of fields as well as mathematicians from other subspecialties to one of the most active new areas of applied mathematics and the story of its discovery and development. Organized in hypertext fashion, the book tells a story of scientific dis

Wavelets

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Author : Gordon Erlebacher
language : en
Publisher: Oxford University Press
Release Date : 1996-01-04

Wavelets written by Gordon Erlebacher and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-04 with Science categories.

Wavelets are spatially localized functions whose amplitude drops off exponentially outside a small "window". They are used to magnify experimental or numerical data and have become powerful tools in signal processing and other computational sciences. This book gives scientists and engineers a practical understanding of wavelets--their origins, their purpose, their use, and their prospects. It covers the applications of wavelets as a diagnostic tool and the use of wavelet basis functions to solve differential equations. Each chapter was written by one of five lecturers of a course sponsored by the Institute of Computer Applications in Science and Engineering (ICASE) and the NASA Langley Research Center. Not only does this book treat the latest advances on the subject, but it also attempts to impart practical knowledge to allow scientists and engineers to evaluate objectively where these tools stand in relation to their needs.

Different Perspectives On Wavelets

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