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Author : Daniel J. Greenhoe
Publisher : Abstract Space Publishing
Page : 451 pages
File Size : 47,6 Mb
Release : 2013-08-21
Category : Mathematics
ISBN : 9780983801139
This book presents the structure of wavelets, principles of wavelet design, and mathematical structure that supports wavelet theory.
Author : Chen Liang-gee,Huang Chao-tsung,Chen Ching-yeh,Cheng Chih-chi
Publisher : World Scientific
Page : 300 pages
File Size : 43,9 Mb
Release : 2006-12-09
Category : Electronic
ISBN : 9781911299264
Discrete wavelet transforms (DWTs) have led the revolutions in image and video coding systems over the past decade. In this book, the DWT is presented from the VLSI design perspective, and the related theories, algorithms, and architectures are discussed for 1D, 2D, and 3D DWT.The book provides a comprehensive analysis and discussion of DWTs and their applications including important materials and the newest developments in wavelet processing. For example, the architecture designs of 2D DWT in JPEG 2000 and the development of motion-compensated temporal filtering (MCTF) are explored./a
Author : Howard L. Resnikoff,Raymond O.Jr. Wells
Publisher : Springer Science & Business Media
Page : 464 pages
File Size : 54,8 Mb
Release : 2002-02-08
Category : Mathematics
ISBN : 038798383X
This text gives a clear introduction to the ideas and methods of wavelet analysis, making concepts understandable by relating them to methods in mathematics and engineering. It shows how to apply wavelet analysis to digital signal processing and presents a wide variety of applications.
Author : Charles K. Chui
Publisher : Elsevier
Page : 278 pages
File Size : 41,9 Mb
Release : 2016-06-03
Category : Science
ISBN : 9781483282862
Wavelet Analysis and its Applications, Volume 1: An Introduction to Wavelets provides an introductory treatise on wavelet analysis with an emphasis on spline-wavelets and time-frequency analysis. This book is divided into seven chapters. Chapter 1 presents a brief overview of the subject, including classification of wavelets, integral wavelet transform for time-frequency analysis, multi-resolution analysis highlighting the important properties of splines, and wavelet algorithms for decomposition and reconstruction of functions. The preliminary material on Fourier analysis and signal theory is covered in Chapters 2 and 3. Chapter 4 covers the introductory study of cardinal splines, while Chapter 5 describes a general approach to the analysis and construction of scaling functions and wavelets. Spline-wavelets are deliberated in Chapter 6. The last chapter is devoted to an investigation of orthogonal wavelets and wavelet packets. This volume serves as a textbook for an introductory one-semester course on “wavelet analysis for upper-division undergraduate or beginning graduate mathematics and engineering students.
Author : Ali N. Akansu,Mark J.T. Smith
Publisher : Springer Science & Business Media
Page : 459 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9781461304838
The scientists and engineers of today are relentless in their continuing study and analysis of the world about us from the microcosm to the macrocosm. A central purpose of this study is to gain sufficient scientific information and insight to enable the development of both representative and useful models of the superabundance of physical processes that surround us. The engineers need these models and the associated insight in order to build the information processing systems and control systems that comprise these new and emerging technologies. Much of the early modeling work that has been done on these systems has been based on the linear time-invariant system theory and its extensive use of Fourier transform theory for both continuous and discrete systems and signals. However many of the signals arising in nature and real systems are neither stationary nor linear but tend to be concentrated in both time and frequency. Hence a new methodology is needed to take these factors properly into account.
Author : V. S. Ivanova,V. U. Novikov,A. A. Oksogoev
Publisher : Nova Publishers
Page : 272 pages
File Size : 42,6 Mb
Release : 2005
Category : Mathematics
ISBN : 1590339649
Non-linear systems behaviours are discussed in this book from the point of new scientific approaches to the interdiscipline nature of the fractal geometry and synergetics. Fractal analysis, synergetics methods and mathematical design are considered according to actual problems of condensed media physics, mechanics, material science and geology.
Author : Tingbo Hou,Hong Qin
Publisher : CRC Press
Page : 234 pages
File Size : 45,5 Mb
Release : 2014-10-22
Category : Computers
ISBN : 9781482220292
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.
Author : Tingbo Hou,Hong Qin
Publisher : CRC Press
Page : 220 pages
File Size : 45,5 Mb
Release : 2014-10-22
Category : Computers
ISBN : 9781482220308
From Design Methods and Generation Schemes to State-of-the-Art ApplicationsWavelets 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
Author : Y. T. Chan
Publisher : Springer Science & Business Media
Page : 139 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461522133
Since the study of wavelets is a relatively new area, much of the research coming from mathematicians, most of the literature uses terminology, concepts and proofs that may, at times, be difficult and intimidating for the engineer. Wavelet Basics has therefore been written as an introductory book for scientists and engineers. The mathematical presentation has been kept simple, the concepts being presented in elaborate detail in a terminology that engineers will find familiar. Difficult ideas are illustrated with examples which will also aid in the development of an intuitive insight. Chapter 1 reviews the basics of signal transformation and discusses the concepts of duals and frames. Chapter 2 introduces the wavelet transform, contrasts it with the short-time Fourier transform and clarifies the names of the different types of wavelet transforms. Chapter 3 links multiresolution analysis, orthonormal wavelets and the design of digital filters. Chapter 4 gives a tour d'horizon of topics of current interest: wavelet packets and discrete time wavelet transforms, and concludes with applications in signal processing.
Author : S. Gopalakrishnan,Mira Mitra
Publisher : CRC Press
Page : 298 pages
File Size : 52,6 Mb
Release : 2010-03-17
Category : Science
ISBN : 1439804621
Employs a Step-by-Step Modular Approach to Structural ModelingConsidering that wavelet transforms have also proved useful in the solution and analysis of engineering mechanics problems, up to now there has been no sufficiently comprehensive text on this use. Wavelet Methods for Dynamical Problems: With Application to Metallic, Composite and Nano-co
Author : Yuan Yan Tang
Publisher : World Scientific Publishing Company
Page : 492 pages
File Size : 55,5 Mb
Release : 2009
Category : Computers
ISBN : UCSD:31822037169034
Ch. 1. Introduction. 1.1. Wavelet : a novel mathematical tool for pattern recognition. 1.2. Brief review of pattern recognition with wavelet theory -- ch. 2. Continuous wavelet transforms. 2.1. General theory of continuous wavelet transforms. 2.2. The continuous wavelet transform as a filter. 2.3. Characterization of Lipschitz regularity of signal by wavelet. 2.4. Some examples of basic wavelets -- ch. 3. Multiresolution analysis and wavelet bases. 3.1. Multiresolution analysis. 3.2. The construction of MRAs. 3.3. The construction of biorthonormal wavelet bases. 3.4. S. mallat algorithms -- ch. 4. Some typical wavelet bases. 4.1. Orthonormal wavelet bases. 4.2. Nonorthonormal wavelet bases -- ch. 5. Step-edge detection by wavelet transform. 5.1. Edge detection with local maximal modulus of wavelet transform. 5.2. Calculation of W[symbol]f(x) and W[symbol]f(x, y). 5.3. Wavelet transform for contour extraction and background removal -- ch. 6. Characterization of dirac-edges with quadratic spline wavelet transform. 6.1. Selection of wavelet functions by derivation. 6.2. Characterization of dirac-structure edges by wavelet transform. 6.3. Experiments -- ch. 7. Construction of new wavelet function and application to curve analysis. 7.1. Construction of new wavelet function - Tang-Yang wavelet. 7.2. Characterization of curves through new wavelet transform. 7.3. Comparison with other wavelets. 7.4. Algorithm and experiments -- ch. 8. Skeletonization of ribbon-like shapes with new wavelet function. 8.1. Tang-Yang wavelet function. 8.2. Characterization of the boundary of a shape by wavelet transform. 8.3. Wavelet skeletons and its implementation. 8.4. Algorithm and experiment -- ch. 9. Feature extraction by wavelet sub-patterns and divider dimensions. 9.1. Dimensionality reduction of two-dimensional patterns with ring-projection. 9.2. Wavelet orthonormal decomposition to produce sub-patterns. 9.3. Wavelet-fractal scheme. 9.4. Experiments -- ch. 10. Document analysis by reference line detection with 2-D wavelet transform. 10.1. Two-dimensional MRA and mallat algorithm. 10.2. Detection of reference line from sub-images by the MRA. 10.3. Experiments -- ch. 11. Chinese character processing with B-spline wavelet transform. 11.1. Compression of Chinese character. 11.2. Enlargement of type size with arbitrary scale based on wavelet transform. 11.3. Generation of Chinese type style based on wavelet transform -- ch. 12. Classifier design based on orthogonal wavelet series. 12.1. Fundamentals. 12.2. Minimum average lose classifier design. 12.3. Minimum error-probability classifier design. 12.4. Probability density estimation based on orthogonal wavelet series
Author : Paul S. Addison
Publisher : CRC Press
Page : 465 pages
File Size : 47,7 Mb
Release : 2017-01-06
Category : Mathematics
ISBN : 9781482251333
This second edition of The Illustrated Wavelet Transform Handbook: Introductory Theory and Applications in Science, Engineering, Medicine and Finance has been fully updated and revised to reflect recent developments in the theory and practical applications of wavelet transform methods. The book is designed specifically for the applied reader in science, engineering, medicine and finance. Newcomers to the subject will find an accessible and clear account of the theory of continuous and discrete wavelet transforms, while readers already acquainted with wavelets can use the book to broaden their perspective. One of the many strengths of the book is its use of several hundred illustrations, some in colour, to convey key concepts and their varied practical uses. Chapters exploring these practical applications highlight both the similarities and differences in wavelet transform methods across different disciplines and also provide a comprehensive list of over 1000 references that will serve as a valuable resource for further study. Paul Addison is a Technical Fellow with Medtronic, a global medical technology company. Previously, he was co-founder and CEO of start-up company, CardioDigital Ltd (and later co-founded its US subsidiary, CardioDigital Inc) - a company concerned with the development of novel wavelet-based methods for biosignal analysis. He has a master’s degree in engineering and a PhD in fluid mechanics, both from the University of Glasgow, Scotland (founded 1451). His former academic life as a tenured professor of fluids engineering included the output of a large number of technical papers, covering many aspects of engineering and bioengineering, and two textbooks: Fractals and Chaos: An Illustrated Course and the first edition of The Illustrated Wavelet Transform Handbook. At the time of publication, the author has over 100 issued US patents concerning a wide range of medical device technologies, many of these concerning the wavelet transform analysis of biosignals. He is both a Chartered Engineer and Chartered Physicist.
Author : Raghuveer M. Rao
Publisher : Pearson Education India
Page : 320 pages
File Size : 53,6 Mb
Release : 1998
Category : Signal processing
ISBN : 8131705315
This Book Identifies Problems For Which Wavelet Transform Techniques Are Well-Suited, Shows How To Implement Wavelet Transforms Efficiently, And Explains How To Choose Or Design Appropriate Wavelets For A Given Application. Practical In Their Approach, The Authors Present The Material In A Visual And Comprehensive Manner, Using Geometric Analogies And Filtering Concepts. The Book Is Written In A Language Familiar To Readers With A Basic Undergraduate Engineering Degree.
Author : A.A. Petrosian,F.G. Meyer
Publisher : Springer Science & Business Media
Page : 548 pages
File Size : 48,5 Mb
Release : 2013-03-09
Category : Science
ISBN : 9789401597159
Despite their novelty, wavelets have a tremendous impact on a number of modern scientific disciplines, particularly on signal and image analysis. Because of their powerful underlying mathematical theory, they offer exciting opportunities for the design of new multi-resolution processing algorithms and effective pattern recognition systems. This book provides a much-needed overview of current trends in the practical application of wavelet theory. It combines cutting edge research in the rapidly developing wavelet theory with ideas from practical signal and image analysis fields. Subjects dealt with include balanced discussions on wavelet theory and its specific application in diverse fields, ranging from data compression to seismic equipment. In addition, the book offers insights into recent advances in emerging topics such as double density DWT, multiscale Bayesian estimation, symmetry and locality in image representation, and image fusion. Audience: This volume will be of interest to graduate students and researchers whose work involves acoustics, speech, signal and image processing, approximations and expansions, Fourier analysis, and medical imaging.
Author : Hojjat Adeli,Hongjin Kim
Publisher : CRC Press
Page : 240 pages
File Size : 49,6 Mb
Release : 2022-09-16
Category : Technology & Engineering
ISBN : 9781000714920
Earthquakes, bridge collapses, and other natural disasters have dominated news coverage in the last few years. Aging infrastructure needs to be rehabilitated and new infrastructure needs to be designed differently. Presenting a highly innovative, modern approach verging on the futuristic, Wavelet-Based Vibration Control of Smart Buildings and Bridges discusses a new generation of building and bridge structures that not only withstands [generation is singular] the destructive effects of nature but is also impact and explosion resistant. Based on the groundbreaking work of Hojit Adeli, the book introduces the new mathematical concept of wavelets into the field of structural vibration control. It presents a new control algorithm for robust control of smart civil structures subjected to destructive environmental forces, such as earthquakes and wind. It then discusses a new hybrid control system, the hybrid tuned liquid column damper (TLCD) system. The new hybrid control system, which combines passive and semi-active control systems, is intended to achieve increased reliability and maximum operability of the control system during power failure and to eliminate the need for a larger power requirement. The great majority of papers published in this area of active structural vibration control deal with small or academic problems. The models in this book have been tested and their effectiveness evaluated extensively on small problems for the sake of comparison with other methods and results reported in the literature. The authors go one step further and apply them to realistic and large building and bridge structures to demonstrate the applicability of the new smart technology to large real-world civil structures. Balancing coverage between theory and application, the book demonstrates the benefits of the new smart technology in the design of structures that are safer and more sustainable.