Fractal 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 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

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  • Author : Peter R. Massopust
  • Publisher : Academic Press
  • Pages : 426 pages
  • ISBN : 0128044705
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKFractal Functions Fractal Surfaces and Wavelets

Fractal Functions, Fractal Surfaces, and Wavelets

Fractal Functions, Fractal Surfaces, and Wavelets
  • Author : Peter R. Massopust
  • Publisher : Academic Press
  • Release : 02 September 2016
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

Wavelets, Fractals, and Fourier Transforms

Wavelets, Fractals, and Fourier Transforms
  • Author : M.. Farge,James Gerald Hunt,M. Farge,Julian C. R. Hunt,J. C. Vassilicos,John Christos Vassilicos,Institute of Mathematics and Its Applications,Department of Applied Mathematics and Theoretical Physics J C R Hunt,Institute of mathematics and its applications (GB).,Société de mathématiques appliquées et industrielles
  • Publisher : Oxford University Press, USA
  • Release : 26 February 1993
GET THIS BOOKWavelets, Fractals, and Fourier Transforms

Recently there have been many developments and new applications of mathematical techniques for describing complex algebraic functions and analysing empirical continuous data derived from many different types of signal, for example turbulent flowa, oil well logs, electrical signals from the eyeetc. Probably the most important and rapidly developing of these techniques involve Fourier methods, fractals and wavelets. This international conference on these developments provides a useful introduction to the mathematics of wavelets, fractals, and Fourier Transforms, and to their manyapplications.

Interpolation and Approximation with Splines and Fractals

Interpolation and Approximation with Splines and Fractals
  • Author : Peter Robert Massopust
  • Publisher : Oxford University Press, USA
  • Release : 26 February 2021
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, 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 : 27 September 2014
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 : 26 February 2021
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

Proceedings

Proceedings
  • Author : IEEE Computer Society
  • Publisher : IEEE
  • Release : 26 February 2021
GET THIS BOOKProceedings

This text contains information on computer engineering as presented at the 6th International Conference on w/CD-ROM Information Visualisation (IV 2002).

Fractals in Engineering

Fractals in Engineering
  • Author : Jacques Levy Vehel,Evelyne Lutton,Claude Tricot
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKFractals in Engineering

Fractal analysis research is expanding into a variety of engineering domains. The strong potential of this work is now beginning to be seen in important applications in real industrial situations. Recent research progress has already led to new developments in domains such as signal processing and chemical engineering, and the major advances in fractal theory that underlie such developments are detailed here. New domains of applications are also presented, among them environmental science and rough surface analysis. Sections include multifractal