Framelets and Wavelets

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Publisher : Springer
ISBN 13 : 3319685309
Total Pages : 750 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Framelets and Wavelets by : Bin Han

Download or read book Framelets and Wavelets written by Bin Han and published by Springer. This book was released on 2018-01-04 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Approximation Theory XIII: San Antonio 2010

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Publisher : Springer Science & Business Media
ISBN 13 : 1461407729
Total Pages : 420 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Approximation Theory XIII: San Antonio 2010 by : Marian Neamtu

Download or read book Approximation Theory XIII: San Antonio 2010 written by Marian Neamtu and published by Springer Science & Business Media. This book was released on 2011-11-19 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings were prepared in connection with the international conference Approximation Theory XIII, which was held March 7–10, 2010 in San Antonio, Texas. The conference was the thirteenth in a series of meetings in Approximation Theory held at various locations in the United States, and was attended by 144 participants. Previous conferences in the series were held in Austin, Texas (1973, 1976, 1980, 1992), College Station, Texas (1983, 1986, 1989, 1995), Nashville, Tennessee (1998), St. Louis, Missouri (2001), Gatlinburg, Tennessee (2004), and San Antonio, Texas (2007). Along with the many plenary speakers, the contributors to this proceedings provided inspiring talks and set a high standard of exposition in their descriptions of new directions for research. Many relevant topics in approximation theory are included in this book, such as abstract approximation, approximation with constraints, interpolation and smoothing, wavelets and frames, shearlets, orthogonal polynomials, univariate and multivariate splines, and complex approximation.

Continuously Translated Framelets and Wavelets

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Publisher :
ISBN 13 :
Total Pages : 98 pages
Book Rating : 4.:/5 (148 download)

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Book Synopsis Continuously Translated Framelets and Wavelets by : Dylmoon Hidayat

Download or read book Continuously Translated Framelets and Wavelets written by Dylmoon Hidayat and published by . This book was released on 2003 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology

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Publisher : Springer Nature
ISBN 13 : 3030433803
Total Pages : 531 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology by : Raul E Curto

Download or read book Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology written by Raul E Curto and published by Springer Nature. This book was released on 2020-12-12 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the proceeding of the International Workshop on Operator Theory and Applications (IWOTA) held in July 2018 in Shanghai, China. It consists of original papers, surveys and expository articles in the broad areas of operator theory, operator algebras and noncommutative topology. Its goal is to give graduate students and researchers a relatively comprehensive overview of the current status of research in the relevant fields. The book is also a special volume dedicated to the memory of Ronald G. Douglas who passed away on February 27, 2018 at the age of 79. Many of the contributors are Douglas’ students and past collaborators. Their articles attest and commemorate his life-long contribution and influence to these fields.

Frame Theory in Data Science

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Publisher : Springer Nature
ISBN 13 : 3031494830
Total Pages : 262 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Frame Theory in Data Science by : Zhihua Zhang

Download or read book Frame Theory in Data Science written by Zhihua Zhang and published by Springer Nature. This book was released on with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Wavelet Analysis and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 376437778X
Total Pages : 567 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Wavelet Analysis and Applications by : Tao Qian

Download or read book Wavelet Analysis and Applications written by Tao Qian and published by Springer Science & Business Media. This book was released on 2007-02-24 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reflects the latest developments in the area of wavelet analysis and its applications. Since the cornerstone lecture of Yves Meyer presented at the ICM 1990 in Kyoto, to some extent, wavelet analysis has often been said to be mainly an applied area. However, a significant percentage of contributions now are connected to theoretical mathematical areas, and the concept of wavelets continuously stretches across various disciplines of mathematics. Key topics: Approximation and Fourier Analysis Construction of Wavelets and Frame Theory Fractal and Multifractal Theory Wavelets in Numerical Analysis Time-Frequency Analysis Adaptive Representation of Nonlinear and Non-stationary Signals Applications, particularly in image processing Through the broad spectrum, ranging from pure and applied mathematics to real applications, the book will be most useful for researchers, engineers and developers alike.

Wavelet Analysis And Active Media Technology (In 3 Volumes) - Proceedings Of The 6th International Progress

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Publisher : World Scientific
ISBN 13 : 981447973X
Total Pages : 1680 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Wavelet Analysis And Active Media Technology (In 3 Volumes) - Proceedings Of The 6th International Progress by : Stephane Jaffard

Download or read book Wavelet Analysis And Active Media Technology (In 3 Volumes) - Proceedings Of The 6th International Progress written by Stephane Jaffard and published by World Scientific. This book was released on 2005-07-06 with total page 1680 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wavelet analysis and its applications have been one of the fastest growing research areas in the past several years. Wavelet theory has been employed in numerous fields and applications, such as signal and image processing, communication systems, biomedical imaging, radar, air acoustics, and many other areas. Active media technology is concerned with the development of autonomous computational or physical entities capable of perceiving, reasoning, adapting, learning, cooperating, and delegating in a dynamic environment.This book captures the essence of the current state of the art in wavelet analysis and active media technology. It includes nine invited papers by distinguished researchers: P Zhang, T D Bui and C Y Suen from Concordia University, Canada; N A Strelkov and V L Dol'nikov from Yaroslavl State University, Russia; Chin-Chen Chang and Ching-Yun Chang from Taiwan; S S Pandey from R D University, India; and I L Bloshanskii from Moscow State Regional University, Russia.The proceedings have been selected for coverage in:

Approximation Theory XVI

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Publisher : Springer Nature
ISBN 13 : 3030574644
Total Pages : 256 pages
Book Rating : 4.0/5 (35 download)

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Book Synopsis Approximation Theory XVI by : Gregory E. Fasshauer

Download or read book Approximation Theory XVI written by Gregory E. Fasshauer and published by Springer Nature. This book was released on 2021-01-04 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings are based on the international conference Approximation Theory XVI held on May 19–22, 2019 in Nashville, Tennessee. The conference was the sixteenth in a series of meetings in Approximation Theory held at various locations in the United States. Over 130 mathematicians from 20 countries attended. The book contains two longer survey papers on nonstationary subdivision and Prony’s method, along with 11 research papers on a variety of topics in approximation theory, including Balian-Low theorems, butterfly spline interpolation, cubature rules, Hankel and Toeplitz matrices, phase retrieval, positive definite kernels, quasi-interpolation operators, stochastic collocation, the gradient conjecture, time-variant systems, and trivariate finite elements. The book should be of interest to mathematicians, engineers, and computer scientists working in approximation theory, computer-aided geometric design, numerical analysis, and related approximation areas.

An Introduction to Wavelets

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Publisher : Elsevier
ISBN 13 : 1483282864
Total Pages : 281 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis An Introduction to Wavelets by : Charles K. Chui

Download or read book An Introduction to Wavelets written by Charles K. Chui and published by Elsevier. This book was released on 2016-06-03 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fractals, Wavelets, and their Applications

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Publisher : Springer
ISBN 13 : 3319081055
Total Pages : 499 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Fractals, Wavelets, and their Applications by : Christoph Bandt

Download or read book Fractals, Wavelets, and their Applications written by Christoph Bandt and published by Springer. This book was released on 2014-09-27 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals and wavelets are emerging areas of mathematics with many common factors which can be used to develop new technologies. This volume contains the selected contributions from the lectures and plenary and invited talks given at the International Workshop and Conference on Fractals and Wavelets held at Rajagiri School of Engineering and Technology, India from November 9-12, 2013. Written by experts, the contributions hope to inspire and motivate researchers working in this area. They provide more insight into the areas of fractals, self similarity, iterated function systems, wavelets and the applications of both fractals and wavelets. This volume will be useful for the beginners as well as experts in the fields of fractals and wavelets.

Numerical Analysis or Numerical Method in Symmetry

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Publisher : MDPI
ISBN 13 : 3039283723
Total Pages : 194 pages
Book Rating : 4.0/5 (392 download)

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Book Synopsis Numerical Analysis or Numerical Method in Symmetry by : Clemente Cesarano

Download or read book Numerical Analysis or Numerical Method in Symmetry written by Clemente Cesarano and published by MDPI. This book was released on 2020-02-21 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Special Issue focuses mainly on techniques and the relative formalism typical of numerical methods and therefore of numerical analysis, more generally. These fields of study of mathematics represent an important field of investigation both in the field of applied mathematics and even more exquisitely in the pure research of the theory of approximation and the study of polynomial relations as well as in the analysis of the solutions of the differential equations both ordinary and partial derivatives. Therefore, a substantial part of research on the topic of numerical analysis cannot exclude the fundamental role played by approximation theory and some of the tools used to develop this research. In this Special Issue, we want to draw attention to the mathematical methods used in numerical analysis, such as special functions, orthogonal polynomials, and their theoretical tools, such as Lie algebra, to study the concepts and properties of some special and advanced methods, which are useful in the description of solutions of linear and nonlinear differential equations. A further field of investigation is dedicated to the theory and related properties of fractional calculus with its adequate application to numerical methods.

ON FRAMELETS & THEIR APPLICATI

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Publisher : Open Dissertation Press
ISBN 13 : 9781374725768
Total Pages : 92 pages
Book Rating : 4.7/5 (257 download)

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Book Synopsis ON FRAMELETS & THEIR APPLICATI by : Chuen-Kan Sze

Download or read book ON FRAMELETS & THEIR APPLICATI written by Chuen-Kan Sze and published by Open Dissertation Press. This book was released on 2017-01-27 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: This dissertation, "On Framelets and Their Applications: a Discrete Approach" by Chuen-kan, Sze, 施泉根, was obtained from The University of Hong Kong (Pokfulam, Hong Kong) and is being sold pursuant to Creative Commons: Attribution 3.0 Hong Kong License. The content of this dissertation has not been altered in any way. We have altered the formatting in order to facilitate the ease of printing and reading of the dissertation. All rights not granted by the above license are retained by the author. Abstract: Abstract of thesis entitled ON FRAMELETS AND THEIR APPLICATIONS: A DISCRETE APPROACH Submitted by CHUEN-KAN SZE for the degree of Doctor of Philosophy at The University of Hong Kong in June 2004 In this thesis, a study was conducted on discrete periodic wavelets and framelets. They are some special vectors that can be used to analyze or synthesize signals. The continuous theory of wavelets and framelets has been well developed since 1983 when Daubechiesdiscoveredcompactly-supportedorthonormalwavelets. Italsohaswidespread applications ranging from solving mathematical, medical to engineering problems. In this thesis, an attempt was made to extract their useful properties and extend to discrete lters. The obtained results would suit practical applications better since most real-life problems are discrete in nature. Another benet is that the tools that are needed in this investigation are quite elementary { mainly some linear algebra and Fourier transforms. This not only makes the investigations much easier, but also helps to spread the results to wider potential users. Another discovery in the research while converting from the continuous framework to the discrete framework is that the traditional vanishing moment conditionsarenotsuitablefordiscreteperiodicwavelets. Thisgivestremendousinitiatives tolookforothersuitablesubstitutes. PossiblealternativesincludeFourier, cosineandsine moments. Another motivation for the study is the large data set problem from internets or data mining problems. This amounts to nding an e(R)ective way to store or analyze the large data set. On this regard, a very detail study on how to nd a suitable scaling function (or a set of scaling functions) to approximate the data set has been conducted. Finally, some neat canonical structures for matrices that are related to discrete periodic wavelets and framelets are exhibited. Possible future applications of the results in this thesis are discussed. DOI: 10.5353/th_b2980393 Subjects: Wavelets (Mathematics)

Representations, Wavelets, and Frames

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Publisher : Springer Science & Business Media
ISBN 13 : 0817646833
Total Pages : 343 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Representations, Wavelets, and Frames by : Palle E. T. Jorgensen

Download or read book Representations, Wavelets, and Frames written by Palle E. T. Jorgensen and published by Springer Science & Business Media. This book was released on 2008-08-29 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: The work of Lawrence Baggett has had a profound impact on the field of abstract harmonic analysis and the many areas of mathematics that use its techniques. His sphere of influence ranges from purely theoretical results regarding the representations of locally compact groups to recent applications of wavelets and frames to problems in sampling theory and image compression. Contributions in this volume reflect this broad scope, and Baggett’s unusual ability to bring together techniques from disparate fields. Recent applications to problems in sampling theory and image compression are included.

Mathematical Physics II

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Publisher : MDPI
ISBN 13 : 3039434950
Total Pages : 182 pages
Book Rating : 4.0/5 (394 download)

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Book Synopsis Mathematical Physics II by : Enrico De Micheli

Download or read book Mathematical Physics II written by Enrico De Micheli and published by MDPI. This book was released on 2020-12-15 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: The charm of Mathematical Physics resides in the conceptual difficulty of understanding why the language of Mathematics is so appropriate to formulate the laws of Physics and to make precise predictions. Citing Eugene Wigner, this “unreasonable appropriateness of Mathematics in the Natural Sciences” emerged soon at the beginning of the scientific thought and was splendidly depicted by the words of Galileo: “The grand book, the Universe, is written in the language of Mathematics.” In this marriage, what Bertrand Russell called the supreme beauty, cold and austere, of Mathematics complements the supreme beauty, warm and engaging, of Physics. This book, which consists of nine articles, gives a flavor of these beauties and covers an ample range of mathematical subjects that play a relevant role in the study of physics and engineering. This range includes the study of free probability measures associated with p-adic number fields, non-commutative measures of quantum discord, non-linear Schrödinger equation analysis, spectral operators related to holomorphic extensions of series expansions, Gibbs phenomenon, deformed wave equation analysis, and optimization methods in the numerical study of material properties.

Advances in Signal Transforms

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Publisher : Hindawi Publishing Corporation
ISBN 13 : 9775945550
Total Pages : 425 pages
Book Rating : 4.7/5 (759 download)

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Book Synopsis Advances in Signal Transforms by : Jaakko Astola

Download or read book Advances in Signal Transforms written by Jaakko Astola and published by Hindawi Publishing Corporation. This book was released on 2007 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Digital signal transforms are of a fundamental value in digital signal and image processing. Their role is manifold. Transforms selected appropriately enable substantial compressing signals and images for storage and transmission. No signal recovery, image reconstruction and restoration task can be efficiently solved without using digital signal transforms. Transforms are successfully used for logic design and digital data encryption. Fast transforms are the main tools for acceleration of computations in digital signal and image processing. The volume collects in one book most recent developments in the theory and practice of the design and usage of transforms in digital signal and image processing. It emerged from the series of reports published by Tampere International Centre for Signal Processing, Tampere University of Technology. For the volume, all contributions are appropriately updated to represent the state of the art in the field and to cover the most recent developments in different aspects of the theory and applications of transforms. The book consists of two parts that represent two major directions in the field: development of new transforms and development of transform based signal and image processing algorithms. The first part contains four chapters devoted to recent advances in transforms for image compression and switching and logic design and to new fast transforms for digital holography and tomography. In the second part, advanced transform based signal and image algorithms are considered: signal and image local adaptive restoration methods and two complementing families of signal and image re-sampling algorithms, fast transform based discrete sinc-interpolation and spline theory based ones."--Publisher.

Spline and Spline Wavelet Methods with Applications to Signal and Image Processing

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Publisher : Springer
ISBN 13 : 3319223038
Total Pages : 441 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Spline and Spline Wavelet Methods with Applications to Signal and Image Processing by : Amir Z. Averbuch

Download or read book Spline and Spline Wavelet Methods with Applications to Signal and Image Processing written by Amir Z. Averbuch and published by Springer. This book was released on 2015-08-27 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents various contributions of splines to signal and image processing from a unified perspective that is based on the Zak transform (ZT). It expands the methodology from periodic splines, which were presented in the first volume, to non-periodic splines. Together, these books provide a universal toolbox accompanied by MATLAB software for manipulating polynomial and discrete splines, spline-based wavelets, wavelet packets and wavelet frames for signal/ image processing applications. In this volume, we see that the ZT provides an integral representation of discrete and polynomial splines, which, to some extent, is similar to Fourier integral. The authors explore elements of spline theory and design, and consider different types of polynomial and discrete splines. They describe applications of spline-based wavelets to data compression. These splines are useful for real-time signal processing and, in particular, real-time wavelet and frame transforms. Further topics addressed in this volume include: "global" splines, such as interpolating, self-dual and smoothing, whose supports are infinite; the compactly supported quasi-interpolating and smoothing splines including quasi-interpolating splines on non-uniform grids; and cubic Hermite splines as a source for the design of multiwavelets and multiwavelet frames. Readers from various disciplines including engineering, computer science and mathematical information technology will find the descriptions of algorithms, applications and software in this book especially useful.

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Author :
Publisher : World Scientific
ISBN 13 :
Total Pages : 1131 pages
Book Rating : 4./5 ( download)

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Book Synopsis by :

Download or read book written by and published by World Scientific. This book was released on with total page 1131 pages. Available in PDF, EPUB and Kindle. Book excerpt: