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The Science of Fractal Images

  • Book
  • © 1988

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Authors:
  1. Michael F. Barnsley
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  2. Robert L. Devaney
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  3. Benoit B. Mandelbrot
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  4. Heinz-Otto Peitgen

    1. Institut für Dynamishe Systeme, Universität Bremen, Bremen 33, Federal Republic of Germany
      Department of Mathematics, University of California, Santa Cruz, USA

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  5. Dietmar Saupe

    1. Institut für Dynamishe Systeme, Universität Bremen, Bremen 33, Federal Republic of Germany

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  6. Richard F. Voss
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Editors:
  1. Heinz-Otto Peitgen

    1. Institut für Dynamishe Systeme, Universität Bremen, Bremen 33, Federal Republic of Germany
      Department of Mathematics, University of California, Santa Cruz, USA

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  2. Dietmar Saupe

    1. Institut für Dynamishe Systeme, Universität Bremen, Bremen 33, Federal Republic of Germany

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-20
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  2. Fractals in nature: From characterization to simulation

    • Richard F. Voss
    Pages 21-70

  3. Algorithms for random fractals

    • Dietmar Saupe
    Pages 71-136

  4. Fractal patterns arising in chaotic dynamical systems

    • Robert L. Devaney
    Pages 137-168

  5. Fantastic deterministic fractals

    • Heinz-Otto Peitgen
    Pages 169-218

  6. Fractal modeling of real world images

    • Michael F. Barnsley
    Pages 219-242

  7. Back Matter

    Pages 243-313
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Keywords

About this book

This book is based on notes for the course Fractals:lntroduction, Basics and Perspectives given by MichaelF. Barnsley, RobertL. Devaney, Heinz-Otto Peit­ gen, Dietmar Saupe and Richard F. Voss. The course was chaired by Heinz-Otto Peitgen and was part of the SIGGRAPH '87 (Anaheim, California) course pro­ gram. Though the five chapters of this book have emerged from those courses we have tried to make this book a coherent and uniformly styled presentation as much as possible. It is the first book which discusses fractals solely from the point of view of computer graphics. Though fundamental concepts and algo­ rithms are not introduced and discussed in mathematical rigor we have made a serious attempt to justify and motivate wherever it appeared to be desirable. Ba­ sic algorithms are typically presented in pseudo-code or a description so close to code that a reader who is familiar with elementary computer graphics should find no problem to get started. Mandelbrot's fractal geometry provides both a description and a mathemat­ ical model for many of the seemingly complex forms and patterns in nature and the sciences. Fractals have blossomed enormously in the past few years and have helped reconnect pure mathematics research with both natural sciences and computing. Computer graphics has played an essential role both in its de­ velopment and rapidly growing popularity. Conversely, fractal geometry now plays an important role in the rendering, modelling and animation of natural phenomena and fantastic shapes in computer graphics.

Authors, Editors and Affiliations

  • Institut für Dynamishe Systeme, Universität Bremen, Bremen 33, Federal Republic of Germany

    Heinz-Otto Peitgen, Dietmar Saupe, Heinz-Otto Peitgen, Dietmar Saupe

  • Department of Mathematics, University of California, Santa Cruz, USA

    Heinz-Otto Peitgen, Heinz-Otto Peitgen

Bibliographic Information

  • Book Title: The Science of Fractal Images

  • Authors: Michael F. Barnsley, Robert L. Devaney, Benoit B. Mandelbrot, Heinz-Otto Peitgen, Dietmar Saupe, Richard F. Voss

  • Editors: Heinz-Otto Peitgen, Dietmar Saupe

  • DOI: https://doi.org/10.1007/978-1-4612-3784-6

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc 1988

  • Softcover ISBN: 978-1-4612-8349-2Published: 08 October 2011

  • eBook ISBN: 978-1-4612-3784-6Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XIV, 312

  • Topics: Geometry

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