Overview

This volume describes the status of fractal imaging research and looks to future directions. It will be useful to researchers in the areas of fractal image compression, analysis, and synthesis, iterated function systems, and fractals in education. In particular it includes a vision for the future of these areas. It aims to provide an efficient means by which researchers can look back over the last decade at what has been achieved, and look forward towards second-generation fractal imaging. The articles in themselves are not meant to be detailed reviews or expositions, but to serve as signposts to the state of the art in their areas. What is important is what they mention and what tools and ideas are seen now to be relevant to the future. The contributors, a number of whom have been involved since the start, are active in fractal imaging, and provide a well-informed viewpoint on both the status and the future. Most were invited participants at a meeting on Fractals in Multimedia held at the IMA in January 2001. Some goals of the mini-symposium, shared with this volume, were to demonstrate that the fractal viewpoint leads to a broad collection of useful mathematical tools, common themes, new ways of looking at and thinking about existing algorithms and applications in multimedia, and to consider future developments. This book should be useful to commercial and university researchers in the rapidly evolving field of digital imaging, specifically, chief information officers, professors, software engineers, and graduate students in the mathematical sciences. While much of the content is quite technical, it contains pointers to the state-of-the-art and the future in fractal imaging.

Full Product Details

Author:   Michael F. Barnsley ,  Dietmar Saupe ,  Edward R. Vrscay
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   Softcover reprint of the original 1st ed. 2002
Volume:   132
Dimensions:   Width: 15.50cm , Height: 1.40cm , Length: 23.50cm
Weight:   0.880kg
ISBN:  

9781441930378

ISBN 10:   144193037
Pages:   270
Publication Date:   06 December 2010
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

to IMA fractal proceedings.- Uniqueness of invariant measures for place-dependent random iterations of functions.- Iterated function systems for lossless data compression.- From fractal image compression to fractal-based methods in mathematics.- Fractal image compression with fast local search.- Wavelets are piecewise fractal interpolation functions.- Self-affine vector measures and vector calculus on fractals.- Using the Picard contraction mapping to solve inverse problems in ordinary differential equations.- Fractal modulation and other applications from a theory of the statistics of dimension.- Signal enhancement based on Hölder regularity analysis.- Iterated data mining techniques on embedded vector modeling.- A web-based fractal geometry course for non-science students.- List of minisymposium participants.

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