Fractals Wavelets And Their Applications

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Fractals, Wavelets, and their Applications

Author : Christoph Bandt
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.

Wavelets and Fractals in Earth System Sciences

Author : E. Chandrasekhar
Publisher : Taylor & Francis
ISBN 13 : 146655360X
Total Pages : 306 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Wavelets and Fractals in Earth System Sciences by : E. Chandrasekhar

Download or read book Wavelets and Fractals in Earth System Sciences written by E. Chandrasekhar and published by Taylor & Francis. This book was released on 2013-11-20 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of wavelet analysis and fractal analysis is fast developing and has drawn a great deal of attention in varied disciplines of science and engineering. Over the past couple of decades, wavelets, multiresolution, and multifractal analyses have been formalized into a thorough mathematical framework and have found a variety of applications w

Signal Processing with Fractals

Author : Gregory W. Wornell
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 200 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Signal Processing with Fractals by : Gregory W. Wornell

Download or read book Signal Processing with Fractals written by Gregory W. Wornell and published by Prentice Hall. This book was released on 1996 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal geometry and recent developments in wavelet theory are having an important impact on the field of signal processing. Efficient representations for fractal signals based on wavelets are opening up new applications for signal processing, and providing better solutions to problems in existing applications. Signal Processing with Fractals provides a valuable introduction to this new and exciting area, and develops a powerful conceptual foundation for understanding the topic. Practical techniques for synthesizing, analyzing, and processing fractal signals for a wide range of applications are developed in detail, and novel applications in communications are explored.

Fractal Functions, Fractal Surfaces, and Wavelets

Author : Peter R. Massopust
Publisher : Academic Press
ISBN 13 : 0128044705
Total Pages : 428 pages
Book Rating : 4.1/5 (28 download)

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Book Synopsis Fractal Functions, Fractal Surfaces, and Wavelets by : Peter R. Massopust

Download or read book Fractal Functions, Fractal Surfaces, and Wavelets written by Peter R. Massopust and published by Academic Press. This book was released on 2016-09-02 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal Functions, Fractal Surfaces, and Wavelets, Second Edition, is the first systematic exposition of the theory of local iterated function systems, local fractal functions and fractal surfaces, and their connections to wavelets and wavelet sets. The book is based on Massopust's work on and contributions to the theory of fractal interpolation, and the author uses a number of tools—including analysis, topology, algebra, and probability theory—to introduce readers to this exciting subject. Though much of the material presented in this book is relatively current (developed in the past decades by the author and his colleagues) and fairly specialized, an informative background is provided for those entering the field. With its coherent and comprehensive presentation of the theory of univariate and multivariate fractal interpolation, this book will appeal to mathematicians as well as to applied scientists in the fields of physics, engineering, biomathematics, and computer science. In this second edition, Massopust includes pertinent application examples, further discusses local IFS and new fractal interpolation or fractal data, further develops the connections to wavelets and wavelet sets, and deepens and extends the pedagogical content. - Offers a comprehensive presentation of fractal functions and fractal surfaces - Includes latest developments in fractal interpolation - Connects fractal geometry with wavelet theory - Includes pertinent application examples, further discusses local IFS and new fractal interpolation or fractal data, and further develops the connections to wavelets and wavelet sets - Deepens and extends the pedagogical content

Fractal and Wavelet Image Compression Techniques

Author : Stephen T. Welstead
Publisher : SPIE Press
ISBN 13 : 9780819435033
Total Pages : 264 pages
Book Rating : 4.4/5 (35 download)

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Book Synopsis Fractal and Wavelet Image Compression Techniques by : Stephen T. Welstead

Download or read book Fractal and Wavelet Image Compression Techniques written by Stephen T. Welstead and published by SPIE Press. This book was released on 1999 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest in image compression for internet and other multimedia applications has spurred research into compression techniques that will increase storage capabilities and transmission speed. This tutorial provides a practical guide to fractal and wavelet approaches--two techniques with exciting potential. It is intended for scientists, engineers, researchers, and students. It provides both introductory information and implementation details. Three Windows-compatible software systems are included so that readers can explore the new technologies in depth. Complete C/C++ source code is provided, enabling readers to go beyond the accompanying software. The mathematical presentation is accessible to advanced undergraduate or beginning graduate students in technical fields.

Analysis and Probability

Author : Palle E. T. Jorgensen
Publisher : Springer Science & Business Media
ISBN 13 : 0387330828
Total Pages : 320 pages
Book Rating : 4.3/5 (873 download)

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Book Synopsis Analysis and Probability by : Palle E. T. Jorgensen

Download or read book Analysis and Probability written by Palle E. T. Jorgensen and published by Springer Science & Business Media. This book was released on 2007-10-17 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combines analysis and tools from probability, harmonic analysis, operator theory, and engineering (signal/image processing) Interdisciplinary focus with hands-on approach, generous motivation and new pedagogical techniques Numerous exercises reinforce fundamental concepts and hone computational skills Separate sections explain engineering terms to mathematicians and operator theory to engineers Fills a gap in the literature

Wavelets

Author : Laura Montefusco
Publisher : Elsevier
ISBN 13 : 0080520847
Total Pages : 656 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Wavelets by : Laura Montefusco

Download or read book Wavelets written by Laura Montefusco and published by Elsevier. This book was released on 2014-06-28 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Wavelet Transform Systems and Their Applications

Author : Cajetan M. Akujuobi
Publisher : Springer Nature
ISBN 13 : 3030875288
Total Pages : 657 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Wavelets and Wavelet Transform Systems and Their Applications by : Cajetan M. Akujuobi

Download or read book Wavelets and Wavelet Transform Systems and Their Applications written by Cajetan M. Akujuobi and published by Springer Nature. This book was released on 2022-02-02 with total page 657 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is unique because of its in-depth treatment of the applications of wavelets and wavelet transforms to many areas, across many disciplines. The book is written to serve the needs of a one or two semester course at either the undergraduate or graduate level. The author uses a very simplified, accessible approach that de-emphasizes mathematical rigor. The presentation includes many diagrams to illustrate points being discussed and uses MATLAB for all of application code. The author reinforces concepts introduced in the book with easy to grasp review questions and problems, tailored to each specific chapter for better mastery of the subject matter. This book enables students to understand the fundamental concepts of wavelets and wavelet transforms, as well as how to use them for problem solutions in digital signal and image processing, mixed-signal testing, space applications, aerospace applications, biomedical, cyber security, homeland security and many other application areas.

Wavelets and their Applications

Author : Michel Misiti
Publisher : John Wiley & Sons
ISBN 13 : 1118613597
Total Pages : 270 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Wavelets and their Applications by : Michel Misiti

Download or read book Wavelets and their Applications written by Michel Misiti and published by John Wiley & Sons. This book was released on 2013-03-01 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last 15 years have seen an explosion of interest in wavelets with applications in fields such as image compression, turbulence, human vision, radar and earthquake prediction. Wavelets represent an area that combines signal in image processing, mathematics, physics and electrical engineering. As such, this title is intended for the wide audience that is interested in mastering the basic techniques in this subject area, such as decomposition and compression.

Optical Remote Sensing of Ocean Hydrodynamics

Author : Victor Raizer
Publisher : CRC Press
ISBN 13 : 1351119176
Total Pages : 280 pages
Book Rating : 4.3/5 (511 download)

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Book Synopsis Optical Remote Sensing of Ocean Hydrodynamics by : Victor Raizer

Download or read book Optical Remote Sensing of Ocean Hydrodynamics written by Victor Raizer and published by CRC Press. This book was released on 2019-03-04 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optical Remote Sensing is one of the main technologies used in sea surface monitoring. Optical Remote Sensing of Ocean Hydrodynamics investigates and demonstrates capabilities of optical remote sensing technology for enhanced observations and detection of ocean environments. It provides extensive knowledge of physical principles and capabilities of optical observations of the oceans at high spatial resolution, 1-4m, and on the observations of surface wave hydrodynamic processes. It also describes the implementation of spectral-statistical and fusion algorithms for analyses of multispectral optical databases and establishes physics-based criteria for detection of complex wave phenomena and hydrodynamic disturbances including assessment and management of optical databases. This book explains the physical principles of high-resolution optical imagery of the ocean surface, discusses for the first time the capabilities of observing hydrodynamic processes and events, and emphasizes the integration of optical measurements and enhanced data analysis. It also covers both the assessment and the interpretation of dynamic multispectral optical databases and includes applications for advanced studies and nonacoustic detection. This book is an invaluable resource for researches, industry professionals, engineers, and students working on cross-disciplinary problems in ocean hydrodynamics, optical remote sensing of the ocean and sea surface remote sensing. Readers in the fields of geosciences and remote sensing, applied physics, oceanography, satellite observation technology, and optical engineering will learn the theory and practice of optical interactions with the ocean.

Dynamical Systems with Applications Using Mathematica®

Author : Stephen Lynch
Publisher : Birkhäuser
ISBN 13 : 3319614851
Total Pages : 590 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Dynamical Systems with Applications Using Mathematica® by : Stephen Lynch

Download or read book Dynamical Systems with Applications Using Mathematica® written by Stephen Lynch and published by Birkhäuser. This book was released on 2017-10-12 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the theory of dynamical systems with the aid of the Mathematica® computer algebra package. The book has a very hands-on approach and takes the reader from basic theory to recently published research material. Emphasized throughout are numerous applications to biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics, and neural networks. Theorems and proofs are kept to a minimum. The first section deals with continuous systems using ordinary differential equations, while the second part is devoted to the study of discrete dynamical systems.

Wavelet Transforms and Their Applications

Author : Lokenath Debnath
Publisher : Springer
ISBN 13 : 0817684182
Total Pages : 562 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Wavelet Transforms and Their Applications by : Lokenath Debnath

Download or read book Wavelet Transforms and Their Applications written by Lokenath Debnath and published by Springer. This book was released on 2014-11-25 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is an introduction to wavelet transforms and accessible to a larger audience with diverse backgrounds and interests in mathematics, science, and engineering. Emphasis is placed 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 various interdisciplinary areas. Topics and Features: * This second edition heavily reworks the chapters on Extensions of Multiresolution Analysis and Newlands’s Harmonic Wavelets and introduces a new chapter containing new applications of wavelet transforms * Uses knowledge of Fourier transforms, some elementary ideas of Hilbert spaces, and orthonormal systems to develop the theory and applications of wavelet analysis * Offers detailed and clear explanations of every concept and method, accompanied by carefully selected worked examples, with special emphasis given to those topics in which students typically experience difficulty * Includes carefully chosen end-of-chapter exercises directly associated with applications or formulated in terms of the mathematical, physical, and engineering context and provides answers to selected exercises for additional help Mathematicians, physicists, computer engineers, and electrical and mechanical engineers will find Wavelet Transforms and Their Applications an exceptionally complete and accessible text and reference. It is also suitable as a self-study or reference guide for practitioners and professionals.

Frontiers of Fractal Analysis

Author : Santo Banerjee
Publisher : CRC Press
ISBN 13 : 1000625877
Total Pages : 183 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Frontiers of Fractal Analysis by : Santo Banerjee

Download or read book Frontiers of Fractal Analysis written by Santo Banerjee and published by CRC Press. This book was released on 2022-07-07 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: The history of describing natural objects using geometry is as old as the advent of science itself, in which traditional shapes are the basis of our intuitive understanding of geometry. However, nature is not restricted to such Euclidean objects which are only characterized typically by integer dimensions. Hence, the conventional geometric approach cannot meet the requirements of solving or analysing nonlinear problems which are related with natural phenomena, therefore, the fractal theory has been born, which aims to understand complexity and provide an innovative way to recognize irregularity and complex systems. Although the concepts of fractal geometry have found wide applications in many forefront areas of science, engineering and societal issues, they also have interesting implications of a more practical nature for the older classical areas of science. Since its discovery, there has been a surge of research activities in using this powerful concept in almost every branch of scientific disciplines to gain deep insights into many unresolved problems. This book includes eight chapters which focus on gathering cutting-edge research and proposing application of fractals features in both traditional scientific disciplines and in applied fields.

Spatially Independent Martingales, Intersections, and Applications

Author : Pablo Shmerkin
Publisher : American Mathematical Soc.
ISBN 13 : 1470426889
Total Pages : 114 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Spatially Independent Martingales, Intersections, and Applications by : Pablo Shmerkin

Download or read book Spatially Independent Martingales, Intersections, and Applications written by Pablo Shmerkin and published by American Mathematical Soc.. This book was released on 2018-02-22 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors define a class of random measures, spatially independent martingales, which we view as a natural generalization of the canonical random discrete set, and which includes as special cases many variants of fractal percolation and Poissonian cut-outs. The authors pair the random measures with deterministic families of parametrized measures , and show that under some natural checkable conditions, a.s. the mass of the intersections is Hölder continuous as a function of . This continuity phenomenon turns out to underpin a large amount of geometric information about these measures, allowing us to unify and substantially generalize a large number of existing results on the geometry of random Cantor sets and measures, as well as obtaining many new ones. Among other things, for large classes of random fractals they establish (a) very strong versions of the Marstrand-Mattila projection and slicing results, as well as dimension conservation, (b) slicing results with respect to algebraic curves and self-similar sets, (c) smoothness of convolutions of measures, including self-convolutions, and nonempty interior for sumsets, and (d) rapid Fourier decay. Among other applications, the authors obtain an answer to a question of I. Łaba in connection to the restriction problem for fractal measures.

Dynamical Systems with Applications using Python

Author : Stephen Lynch
Publisher : Springer
ISBN 13 : 3319781456
Total Pages : 668 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Dynamical Systems with Applications using Python by : Stephen Lynch

Download or read book Dynamical Systems with Applications using Python written by Stephen Lynch and published by Springer. This book was released on 2018-10-09 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a broad introduction to continuous and discrete dynamical systems. With its hands-on approach, the text leads the reader from basic theory to recently published research material in nonlinear ordinary differential equations, nonlinear optics, multifractals, neural networks, and binary oscillator computing. Dynamical Systems with Applications Using Python takes advantage of Python’s extensive visualization, simulation, and algorithmic tools to study those topics in nonlinear dynamical systems through numerical algorithms and generated diagrams. After a tutorial introduction to Python, the first part of the book deals with continuous systems using differential equations, including both ordinary and delay differential equations. The second part of the book deals with discrete dynamical systems and progresses to the study of both continuous and discrete systems in contexts like chaos control and synchronization, neural networks, and binary oscillator computing. These later sections are useful reference material for undergraduate student projects. The book is rounded off with example coursework to challenge students’ programming abilities and Python-based exam questions. This book will appeal to advanced undergraduate and graduate students, applied mathematicians, engineers, and researchers in a range of disciplines, such as biology, chemistry, computing, economics, and physics. Since it provides a survey of dynamical systems, a familiarity with linear algebra, real and complex analysis, calculus, and ordinary differential equations is necessary, and knowledge of a programming language like C or Java is beneficial but not essential.

Progress in Wavelet Analysis and Applications

Author : Yves Meyer
Publisher : Atlantica Séguier Frontières
ISBN 13 : 9782863321300
Total Pages : 808 pages
Book Rating : 4.3/5 (213 download)

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Book Synopsis Progress in Wavelet Analysis and Applications by : Yves Meyer

Download or read book Progress in Wavelet Analysis and Applications written by Yves Meyer and published by Atlantica Séguier Frontières. This book was released on 1993 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Wavelets in Physics

Author : J. C. van den Berg
Publisher : Cambridge University Press
ISBN 13 : 9780521593113
Total Pages : 482 pages
Book Rating : 4.5/5 (931 download)

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Book Synopsis Wavelets in Physics by : J. C. van den Berg

Download or read book Wavelets in Physics written by J. C. van den Berg and published by Cambridge University Press. This book was released on 1999-08-19 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surveys the application of the wavelet transform to a wide range of physical fields.