Wavelets And Their Applications In Computer Graphics
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Wavelets And Their Applications In Computer Graphics
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Author :
language : en
Publisher:
Release Date : 1994
Wavelets And Their Applications In Computer Graphics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.
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.
Wavelet Transforms And Their Applications
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Author : Lokenath Debnath
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-28
Wavelet Transforms And Their Applications written by Lokenath Debnath 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 2011-06-28 with Technology & Engineering categories.
Overview Historically, the concept of "ondelettes" or "wavelets" originated from the study of time-frequency signal analysis, wave propagation, and sampling theory. One of the main reasons for the discovery of wavelets and wavelet transforms is that the Fourier transform analysis does not contain the local information of signals. So the Fourier transform cannot be used for analyzing signals in a joint time and frequency domain. In 1982, Jean MorIet, in collaboration with a group of French engineers, first introduced the idea of wavelets as a family of functions constructed by using translation and dilation of a single function, called the mother wavelet, for the analysis of nonstationary signals. However, this new concept can be viewed as the synthesis of various ideas originating from different disciplines including mathematics (Calder6n-Zygmund operators and Littlewood-Paley theory), physics (coherent states in quantum mechanics and the renormalization group), and engineering (quadratic mirror filters, sideband coding in signal processing, and pyramidal algorithms in image processing). Wavelet analysis is an exciting new method for solving difficult problems in mathematics, physics, and engineering, with modern applications as diverse as wave propagation, data compression, image processing, pattern recognition, computer graphics, the detection of aircraft and submarines, and improvement in CAT scans and other medical image technology. Wavelets allow complex information such as music, speech, images, and patterns to be decomposed into elementary forms, called the fundamental building blocks, at different positions and scales and subsequently reconstructed with high precision.
Second Generation Wavelets And Applications
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Author : Maarten H. Jansen
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-06
Second Generation Wavelets And Applications written by Maarten H. Jansen 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 2005-12-06 with Technology & Engineering categories.
Second Generation Wavelets and Applications introduces "second generation wavelets" and the lifting transform that can be used to apply the traditional benefits of wavelets into a wide range of new areas in signal processing, data processing and computer graphics. This book details the mathematical fundamentals of the lifting transform and illustrates the latest applications of the transform in signal and image processing, numerical analysis, scattering data smoothing and rendering of computer images.
Diffusion Driven Wavelet Design For Shape Analysis
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Author : Tingbo Hou
language : en
Publisher: CRC Press
Release Date : 2014-10-22
Diffusion Driven Wavelet Design For Shape Analysis written by Tingbo Hou and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-22 with Computers categories.
From Design Methods and Generation Schemes to State-of-the-Art Applications Wavelets are powerful tools for functional analysis and geometry processing, enabling researchers to determine the structure of data and analyze 3D shapes. Suitable for researchers in computer graphics, computer vision, visualization, medical imaging, and geometric modeling as well as graduate and senior undergraduate students in computer science, Diffusion-Driven Wavelet Design for Shape Analysis presents recent research results in wavelet designs on 3D shapes and their applications in shape analysis. It explains how to apply the design methods to various types of 3D data, such as polygonal meshes, point clouds, manifolds, and volumetric images. Extensions of Wavelet Generation on Volumetric and Manifold Data The first part of the book introduces design methods of wavelets on manifold data, incorporating interdisciplinary knowledge from differential geometry, functional analysis, Fourier transform, spectral graph theory, and stochastic processes. The authors show how wavelets are purely determined by the shape geometry and how wavelet transforms are computed as inner products of wavelet kernels and input functions. Wavelets for Solving Computer Graphics Problems The second part presents applications in shape analysis/representation. The book looks at wavelets as spectral tools for geometry processing with filters in a joint space-frequency domain and examines wavelets as detail extractors for shape feature definition and detection. Going beyond these fundamental applications, the book also covers middle- and high-level applications, including shape matching, shape registration, and shape retrieval. Easy-to-Understand Implementations and Algorithms Unlike many other wavelet books, this one does not involve complicated mathematics. Instead, the book uses simplified formulations and illustrative examples to explain deep theories. Code and other materials are available on a supplementary website.
Wavelet Analysis And Its Applications
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Author : Tian-Xiao He
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 2020-02
Wavelet Analysis And Its Applications written by Tian-Xiao He and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02 with Mathematics categories.
The subject of wavelet analysis has been around for less than 15 years, yet it seems to be popping up everywhere. The major reason for this is its usefulness in applications. Wavelets reduce the data requirements in fields such as signal processing and approximation through their localization property: A function that is zero in an interval has a wavelet expansion whose partial sums are small or even zero. Since most of the information in a signal is in the region where it changes, only the local data corresponding to it needs to be considered. Wavelets do this much better than classical methods because of their “zoom-in” and “zoom-out” capabilities. Hence, wavelets appeal to scientists and engineers in any field that requires analyzing large amounts of data.This is an introductory, self-contained book on wavelet analysis and its applications, focusing on computer graphics and economics. The only prerequisite is a basic knowledge of calculus and linear algebra. For this reason, preliminary material on functional analysis, function theory, and Fourier analysis are covered in Chapter 1. The driving force of the development of wavelet analysis is described in Chapter 2 using step functions and Haar wavelets. Integral wavelet transform, discrete wavelet transform, classification of wavelets, multiresolution analysis, and wavelet algorithms for the decomposition and reconstruction of functions are presented in Chapter 3 of the book. The applications of wavelet transform in computer graphics and in economics are discussed in Chapters 4 and 5, respectively. Finally, Chapter 6 discusses some advanced material such as biorthogonal wavelets, two-dimensional wavelets, nonseparable multidimensional wavelets, and wavelet packets.
Wavelets Through A Looking Glass
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Author : Ola Bratteli
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-07-12
Wavelets Through A Looking Glass written by Ola Bratteli 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 2002-07-12 with Computers categories.
This book combining wavelets and the world of the spectrum focuses on recent developments in wavelet theory, emphasizing fundamental and relatively timeless techniques that have a geometric and spectral-theoretic flavor. The exposition is clearly motivated and unfolds systematically, aided by numerous graphics. This self-contained book deals with important applications to signal processing, communications engineering, computer graphics algorithms, qubit algorithms and chaos theory, and is aimed at a broad readership of graduate students, practitioners, and researchers in applied mathematics and engineering. The book is also useful for other mathematicians with an interest in the interface between mathematics and communication theory.
Wavelets And Their Applications
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Author : Mei Kobayashi
language : en
Publisher: SIAM
Release Date : 1998-01-01
Wavelets And Their Applications written by Mei Kobayashi and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-01 with Mathematics categories.
This collection of independent case studies demonstrates how wavelet techniques have been used to solve open problems and develop insight into the nature of the systems under study. Each case begins with a description of the problem and points to the specific properties of wavelets and techniques used for determining a solution. The cases range from a very simple wavelet-based technique for reducing noise in laboratory data to complex work on two-dimensional geographical data display conducted at the Earthquake Research Institute in Japan. One case study shows how wavelet analysis is used in the development of a Japanese text-to-speech system for personal computers and another presents new wavelet techniques developed for and applied to the study of atmospheric wind, turbulent fluid, and seismic acceleration data.
Wavelet Analysis And Its Applications
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Author :
language : en
Publisher:
Release Date : 2010
Wavelet Analysis And Its Applications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
Wavelet Transforms And Their Recent Applications In Biology And Geoscience
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Author : Jeff Winters
language : en
Publisher:
Release Date : 2016-10-01
Wavelet Transforms And Their Recent Applications In Biology And Geoscience written by Jeff Winters and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-10-01 with categories.
Wavelet analysis is an exciting new method for solving difficult problems in mathematics, physics, and engineering, with modern applications as diverse as wave propagation, data compression, signal processing, image processing, pattern recognition, computer graphics, the detection of aircraft and submarines and other medical image technology. Wavelets allow complex information such as music, speech, images and patterns to be decomposed into elementary forms at different positions and scales and subsequently reconstructed with high precision. The main advantages of wavelet methods over traditional Fourier methods are the use of localized basis functions and the faster computation speed. Localized basis functions are ideal for analyzing real physical situations in which a signal contains discontinuities and sharp spikes. One of the main advantages of wavelets is that they offer a simultaneous localization in time and frequency domain. The second main advantage of wavelets is that, using fast wavelet transform, it is computationally very fast. Wavelets have the great advantage of being able to separate the fine details in a signal. Very small wavelets can be used to isolate very fine details in a signal, while very large wavelets can identify coarse details. A wavelet transform can be used to decompose a signal into component wavelets. Wavelet Transforms and Their Recent Applications in Biology and Geoscience emphasize on the logical development of fundamental ideas and systematic treatment of wavelet analysis and its applications to a wide variety of problems as encountered in Biology and Geoscience. It is a valuable tool for practitioners and professionals.