Fractal Functions, Fractal Surfaces, And Wavelets

Hardcover | August 12, 2016

byPeter R. Massopust

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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 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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From the Publisher

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 int...

From the Jacket

Fractal Functions, Fractal Surfaces, and Wavelets 2ndedition 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 interpolat...

Peter R. Massopust is a Privatdozent in the Center of Mathematics at the Technical University of Munich, Germany. He received his Ph.D. in Mathematics from the Georgia Institute of Technology in Atlanta, Georgia, USA, and his habilitation from the Technical University of Munich. He worked at several universities in the United States, a...

other books by Peter R. Massopust

Format:HardcoverDimensions:426 pages, 9.41 × 7.24 × 0.98 inPublished:August 12, 2016Publisher:Academic PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:012804408X

ISBN - 13:9780128044087

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Table of Contents

Part I: Foundations

1: Mathematical preliminaries

2: Construction of fractal sets

3: Dimension theory

4: Dynamical systems and dimension

Part II: Fractal Functions and Fractal Surfaces

5: Construction of fractal functions

6: Fractels and self-referential functions

7: Dimension of fractal functions

8: Fractal functions and wavelets

9: Fractal surfaces

10: Fractal surfaces and wavelets in !n