Fractal Functions Fractal Surfaces and Wavelets

Book Fractal Functions  Fractal Surfaces  and Wavelets Cover

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  • Publisher : Academic Press
  • Release : 30 August 2016
  • ISBN : 012804408X
  • Page : 426 pages
  • Rating : 4.5/5 from 103 voters

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"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 surfacesIncludes latest developments in fractal interpolationConnects fractal geometry with wavelet theoryIncludes pertinent application examples, further discusses local IFS and new fractal interpolation or fractal data, and further develops the connections to wavelets and wavelet setsDeepens and extends the pedagogical content"

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Fractal Functions, Fractal Surfaces, and Wavelets

Fractal Functions, Fractal Surfaces, and Wavelets
  • Author : Peter R. Massopust
  • Publisher : Academic Press
  • Release Date : 2016-08-30
  • ISBN : 012804408X
GET THIS BOOKFractal Functions, Fractal Surfaces, and Wavelets

"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

Fractal Functions, Fractal Surfaces, and Wavelets

Fractal Functions, Fractal Surfaces, and Wavelets
  • Author : Peter R. Massopust
  • Publisher : Academic Press
  • Release Date : 2016-09-02
  • ISBN : 9780128044704
GET THIS BOOKFractal Functions, Fractal Surfaces, and Wavelets

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

Fractals, Wavelets, and their Applications

Fractals, Wavelets, and their Applications
  • Author : Christoph Bandt,Michael Barnsley,Robert Devaney,Kenneth J. Falconer,V. Kannan,Vinod Kumar P.B.
  • Publisher : Springer
  • Release Date : 2014-09-27
  • ISBN : 9783319081052
GET THIS BOOKFractals, Wavelets, and their Applications

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

Abstract and Applied Analysis

Abstract and Applied Analysis
  • Author : N. M. Chuong,L. Nirenberg
  • Publisher : World Scientific
  • Release Date : 2004
  • ISBN : 9789812702548
GET THIS BOOKAbstract and Applied Analysis

This volume takes up various topics in Mathematical Analysis including boundary and initial value problems for Partial Differential Equations and Functional Analytic methods. Topics include linear elliptic systems for composite material OCo the coefficients may jump from domain to domain; Stochastic Analysis OCo many applied problems involve evolution equations with random terms, leading to the use of stochastic analysis. The proceedings have been selected for coverage in: . OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo CC

Abstract and Applied Analysis

Abstract and Applied Analysis
  • Author : N M Chuong,L Nirenberg,W Tutschke
  • Publisher : World Scientific
  • Release Date : 2004-06-01
  • ISBN : 9789814482110
GET THIS BOOKAbstract and Applied Analysis

This volume takes up various topics in Mathematical Analysis including boundary and initial value problems for Partial Differential Equations and Functional Analytic methods. Topics include linear elliptic systems for composite material — the coefficients may jump from domain to domain; Stochastic Analysis — many applied problems involve evolution equations with random terms, leading to the use of stochastic analysis. The proceedings have been selected for coverage in: • Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings) • CC Proceedings — Engineering & Physical Sciences

Wavelets and Fractals in Earth System Sciences

Wavelets and Fractals in Earth System Sciences
  • Author : E. Chandrasekhar,V. P. Dimri,V. M. Gadre
  • Publisher : Taylor & Francis
  • Release Date : 2013-11-20
  • ISBN : 9781466553606
GET THIS BOOKWavelets and Fractals in Earth System Sciences

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

Fractal Functions, Dimensions and Signal Analysis

Fractal Functions, Dimensions and Signal Analysis
  • Author : Santo Banerjee,D. Easwaramoorthy,A. Gowrisankar
  • Publisher : Springer Nature
  • Release Date : 2020-12-14
  • ISBN : 9783030626723
GET THIS BOOKFractal Functions, Dimensions and Signal Analysis

This book introduces the fractal interpolation functions (FIFs) in approximation theory to the readers and the concerned researchers in advanced level. FIFs can be used to precisely reconstruct the naturally occurring functions when compared with the classical interpolants. The book focuses on the construction of fractals in metric space through various iterated function systems. It begins by providing the Mathematical background behind the fractal interpolation functions with its graphical representations and then introduces the fractional integral and fractional derivative on

Analysis, Probability And Mathematical Physics On Fractals

Analysis, Probability And Mathematical Physics On Fractals
  • Author : Rogers Luke G,Ruiz Patricia Alonso,Teplyaev Alexander,Chen Joe Po-chou
  • Publisher : World Scientific
  • Release Date : 2020-02-26
  • ISBN : 9789811215544
GET THIS BOOKAnalysis, Probability And Mathematical Physics On Fractals

In the 50 years since Mandelbrot identified the fractality of coastlines, mathematicians and physicists have developed a rich and beautiful theory describing the interplay between analytic, geometric and probabilistic aspects of the mathematics of fractals. Using classical and abstract analytic tools developed by Cantor, Hausdorff, and Sierpinski, they have sought to address fundamental questions: How can we measure the size of a fractal set? How do waves and heat travel on irregular structures? How are analysis, geometry and stochastic processes related

Interpolation and Approximation with Splines and Fractals

Interpolation and Approximation with Splines and Fractals
  • Author : Peter Robert Massopust
  • Publisher : Unknown
  • Release Date : 2010
  • ISBN : UCSD:31822037437092
GET THIS BOOKInterpolation and Approximation with Splines and Fractals

This textbook is intended to supplement the classical theory of uni- and multivariate splines and their approximation and interpolation properties with those of fractals, fractal functions, and fractal surfaces. This synthesis will complement currently required courses dealing with these topics and expose the prospective reader to some new and deep relationships. In addition to providing a classical introduction to the main issues involving approximation and interpolation with uni- and multivariate splines, cardinal and exponential splines, and their connection to wavelets

Fractals in Multimedia

Fractals in Multimedia
  • Author : Michael F. Barnsley,Dietmar Saupe,Edward R. Vrscay
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • ISBN : 9781468492446
GET THIS BOOKFractals in Multimedia

This IMA Volume in Mathematics and its Applications FRACTALS IN MULTIMEDIA is a result of a very successful three-day minisymposium on the same title. The event was an integral part of the IMA annual program on Mathemat ics in Multimedia, 2000-2001. We would like to thank Michael F. Barnsley (Department of Mathematics and Statistics, University of Melbourne), Di etmar Saupe (Institut fUr Informatik, UniversiUit Leipzig), and Edward R. Vrscay (Department of Applied Mathematics, University of Waterloo) for their excellent work

Dynamics with Chaos and Fractals

Dynamics with Chaos and Fractals
  • Author : Marat Akhmet,Mehmet Onur Fen,Ejaily Milad Alejaily
  • Publisher : Springer Nature
  • Release Date : 2020-01-01
  • ISBN : 9783030358549
GET THIS BOOKDynamics with Chaos and Fractals

The book is concerned with the concepts of chaos and fractals, which are within the scopes of dynamical systems, geometry, measure theory, topology, and numerical analysis during the last several decades. It is revealed that a special kind of Poisson stable point, which we call an unpredictable point, gives rise to the existence of chaos in the quasi-minimal set. This is the first time in the literature that the description of chaos is initiated from a single motion. Chaos is

Multiscale Wavelet Methods for Partial Differential Equations

Multiscale Wavelet Methods for Partial Differential Equations
  • Author : Wolfgang Dahmen,Andrew Kurdila,Peter Oswald
  • Publisher : Elsevier
  • Release Date : 1997-08-13
  • ISBN : 0080537146
GET THIS BOOKMultiscale Wavelet Methods for Partial Differential Equations

This latest volume in the Wavelets Analysis and Its Applications Series provides significant and up-to-date insights into recent developments in the field of wavelet constructions in connection with partial differential equations. Specialists in numerical applications and engineers in a variety of fields will find Multiscale Wavelet for Partial Differential Equations to be a valuable resource. Covers important areas of computational mechanics such as elasticity and computational fluid dynamics Includes a clear study of turbulence modeling Contains recent research on multiresolution

Frontiers of Fractal Analysis

Frontiers of Fractal Analysis
  • Author : Santo Banerjee,A. Gowrisankar
  • Publisher : CRC Press
  • Release Date : 2022-07-07
  • ISBN : 9781000625875
GET THIS BOOKFrontiers of Fractal Analysis

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

Frames and Operator Theory in Analysis and Signal Processing

Frames and Operator Theory in Analysis and Signal Processing
  • Author : David R. Larson
  • Publisher : American Mathematical Soc.
  • Release Date : 2008
  • ISBN : 9780821841440
GET THIS BOOKFrames and Operator Theory in Analysis and Signal Processing

This volume contains articles based on talks presented at the Special Session Frames and Operator Theory in Analysis and Signal Processing, held in San Antonio, Texas, in January of 2006. Recently, the field of frames has undergone tremendous advancement. Most of the work in this field is focused on the design and construction of more versatile frames and frames tailored towards specific applications, e.g., finite dimensional uniform frames for cellular communication. In addition, frames are now becoming a hot topic

Fractal Frontiers: Fractals In The Natural And Applied Sciences

Fractal Frontiers: Fractals In The Natural And Applied Sciences
  • Author : Novak Miroslav M,Dewey T G
  • Publisher : World Scientific
  • Release Date : 1997-03-29
  • ISBN : 9789814546065
GET THIS BOOKFractal Frontiers: Fractals In The Natural And Applied Sciences

This popular science book shows that chemists do have a sense of humor, and this book is a celebration of the quirky side of scientific nomenclature. Here, some molecules are shown that have unusual, rude, ridiculous or downright silly names. Written in an easy-to-read style, anyone — not just scientists — can appreciate the content. Each molecule is illustrated with a photograph and/or image that relates directly or indirectly to its name and molecular structure. Thus, the book is not only