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Wavelet Subdivision Methods

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Wavelet Subdivision Methods

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Author : Charles Chui
language : en
Publisher: CRC Press
Release Date : 2010-08-23

Wavelet Subdivision Methods written by Charles Chui and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-08-23 with Computers categories.

Prevalent in animation movies and interactive games, subdivision methods allow users to design and implement simple but efficient schemes for rendering curves and surfaces. Adding to the current subdivision toolbox, Wavelet Subdivision Methods: GEMS for Rendering Curves and Surfaces introduces geometry editing and manipulation schemes (GEMS) and co

Wavelet Subdivision Methods

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Author : Charles Chui
language : en
Publisher: CRC Press
Release Date : 2010-08-23

Wavelet Subdivision Surfaces

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Author : Charles Chui
language : en
Publisher: Chapman and Hall/CRC
Release Date : 2014-11-26

Wavelet Subdivision Surfaces written by Charles Chui and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-26 with Computers categories.

With the use of bivariate wavelets, the applications of wavelets to surface subdivision methods becomes much more powerful than the use of biorthogonal wavelets. This book illustrates how symmetry can be used to improve surface visual quality and how the matrix-valued surface subdivision stencils that are included allow for the prediction of tangent planes and unit surface from the coarse control net. The text offers an up-to-date rigorous treatment of wavelet and frame-based surface multi-resolution theory, algorithms, and methods, together with matrix-valued and conventional surface subdivision schemes, integrated in a unified wavelet subdivision mathematics toolbox.

Wavelets In The Geosciences

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Author : Roland Klees
language : en
Publisher: Springer Science & Business Media
Release Date : 2000-03-06

Wavelets In The Geosciences written by Roland Klees 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 2000-03-06 with Science categories.

This book contains state-of-the-art continuous wavelet analysis of one and more dimensional (geophysical) signals. Special attention is given to the reconaissance of specific properties of a signal. It also contains an extension of standard wavelet approximation to the application of so-called second generation wavelets for efficient representation of signals at various scales even on the sphere and more complex geometries. Furthermore, the book discusses the application of harmonic (spherical) wavelets in potential field analysis with emphasis on the gravity field of the Earth. Many examples are given for practical application of these tools; to support the text exercises and demonstrations are available on the Web.

Multiresolution Signal And Geometry Processing Filter Banks Wavelets And Subdivision Version 2013 09 26

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Author : Michael D. Adams
language : en
Publisher: Michael Adams
Release Date : 2013-09-26

Multiresolution Signal And Geometry Processing Filter Banks Wavelets And Subdivision Version 2013 09 26 written by Michael D. Adams and has been published by Michael Adams this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-26 with Electric filters categories.

This book is intended for use in the teaching of graduate and senior undergraduate courses on multiresolution signal and geometry processing in the engineering and related disciplines. It has been used for several years for teaching purposes in the Department of Electrical and Computer Engineering at the University of Victoria and has been well received by students. This book provides a comprehensive introduction to multiresolution signal and geometry processing, with a focus on both theory and applications. The book has two main components, corresponding to multiresolution processing in the contexts of: 1) signal processing and 2) geometry processing. The signal-processing component of the book studies one-dimensional and multi-dimensional multirate systems, considering multirate structures such as sampling-rate converters, filter banks, and transmultiplexers. A particularly strong emphasis is placed on filter banks. Univariate and multivariate wavelet systems are examined, with the biorthogonal and orthonormal cases both being considered. The relationship between filter banks and wavelet systems is established. Several applications of filter banks and wavelets in signal processing are covered, including signal coding, image compression, and noise reduction. For readers interested in image compression, a detailed overview of the JPEG-2000 standard is also provided. Some other applications of multirate systems are considered, such as transmultiplexers for communication systems (e.g., multicarrier modulation). The geometry-processing component of the book studies subdivision surfaces and subdivision wavelets. Some mathematical background relating to geometry processing is provided, including topics such as homogeneous coordinate transformations, manifolds, surface representations, and polygon meshes. Several subdivision schemes are examined in detail, including the Loop, Kobbelt sqrt(3), and Catmull-Clark methods. The application of subdivision surfaces in computer graphics is considered. A detailed introduction to functional analysis is provided, for those who would like a deeper understanding of the mathematics underlying wavelets and filter banks. For those who are interested in software applications of the material covered in the book, appendices are included that introduce the CGAL and OpenGL libraries. Also, an appendix on the SPL library (which was developed for use with this book) is included. Throughout the book, many worked-through examples are provided. Problem sets are also provided for each major topic covered.

Wavelets

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Author : B. W. Silverman
language : en
Publisher:
Release Date : 2000

Wavelets written by B. W. Silverman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.

In recent years there has been an explosion of interest in wavelets, in a wide range of fields in science and engineering and beyond. This book brings together contributions from researchers from disparate fields, both in order to demonstrate to a wide readership the current breadth of work in wavelets, and to encourage cross-fertilization of ideas. It demonstrates the genuinely interdisplinary nature of wavelet research and applications. Particular areas covered include turbulence, statistics, time series analysis, signal and image processing, the physiology of vision, astronomy, economics and acoustics. Some of the work uses standard wavelet approaches and in other cases new methodology is developed. The papers were originally presented at a Royal Society Discussion Meeting, to a large and enthusiastic audience of specialists and non-specialists.

Spline And Spline Wavelet Methods With Applications To Signal And Image Processing

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Author : Amir Z. Averbuch
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-04-08

Spline And Spline Wavelet Methods With Applications To Signal And Image Processing written by Amir Z. Averbuch 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 2014-04-08 with Technology & Engineering categories.

This volume provides universal methodologies accompanied by Matlab software to manipulate numerous signal and image processing applications. It is done with discrete and polynomial periodic splines. Various contributions of splines to signal and image processing from a unified perspective are presented. This presentation is based on Zak transform and on Spline Harmonic Analysis (SHA) methodology. SHA combines approximation capabilities of splines with the computational efficiency of the Fast Fourier transform. SHA reduces the design of different spline types such as splines, spline wavelets (SW), wavelet frames (SWF) and wavelet packets (SWP) and their manipulations by simple operations. Digital filters, produced by wavelets design process, give birth to subdivision schemes. Subdivision schemes enable to perform fast explicit computation of splines' values at dyadic and triadic rational points. This is used for signals and images up sampling. In addition to the design of a diverse library of splines, SW, SWP and SWF, this book describes their applications to practical problems. The applications include up sampling, image denoising, recovery from blurred images, hydro-acoustic target detection, to name a few. The SWF are utilized for image restoration that was degraded by noise, blurring and loss of significant number of pixels. The book is accompanied by Matlab based software that demonstrates and implements all the presented algorithms. The book combines extensive theoretical exposure with detailed description of algorithms, applications and software. The Matlab software can be downloaded from http://extras.springer.com

Wavelet Analysis And Multiresolution Methods

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Author : Tian-Xiao He
language : en
Publisher: CRC Press
Release Date : 2000-05-05

Wavelet Analysis And Multiresolution Methods written by Tian-Xiao He and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-05-05 with Mathematics categories.

This volume contains papers selected from the Wavelet Analysis and Multiresolution Methods Session of the AMS meeting held at the University of Illinois at Urbana-Champaign. The contributions cover: construction, analysis, computation and application of multiwavelets; scaling vectors; nonhomogenous refinement; mulivariate orthogonal and biorthogonal wavelets; and other related topics.

Wavelets For Computer Graphics

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Author : Eric J. Stollnitz
language : en
Publisher: Morgan Kaufmann
Release Date : 1996

Wavelets For Computer Graphics written by Eric J. Stollnitz and has been published by Morgan Kaufmann this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Computers categories.

This introduction to wavelets provides computer graphics professionals and researchers with the mathematical foundations for understanding and applying this powerful tool.

Framelets And Wavelets

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Author : Bin Han
language : en
Publisher: Springer
Release Date : 2018-01-04

Framelets And Wavelets written by Bin Han and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-04 with Mathematics categories.

Marking a distinct departure from the perspectives of frame theory and discrete transforms, this book provides a comprehensive mathematical and algorithmic introduction to wavelet theory. As such, it can be used as either a textbook or reference guide. As a textbook for graduate mathematics students and beginning researchers, it offers detailed information on the basic theory of framelets and wavelets, complemented by self-contained elementary proofs, illustrative examples/figures, and supplementary exercises. Further, as an advanced reference guide for experienced researchers and practitioners in mathematics, physics, and engineering, the book addresses in detail a wide range of basic and advanced topics (such as multiwavelets/multiframelets in Sobolev spaces and directional framelets) in wavelet theory, together with systematic mathematical analysis, concrete algorithms, and recent developments in and applications of framelets and wavelets. Lastly, the book can also be used to teach on or study selected special topics in approximation theory, Fourier analysis, applied harmonic analysis, functional analysis, and wavelet-based signal/image processing.

Wavelet Subdivision Methods

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