Fractal Geometry and Computer Graphics

1. Front Matter

   Pages I-XI

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2. Fundamentals

   1. Front Matter

      Pages 1-1

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   2. Linear Cellular Automata, Substitutions, Hierarchical Iterated Function Systems and Attractors

      • F. v. Haeseler, H.-O. Peitgen, G. Skordev

      Pages 3-23

   3. Escape-time Visualization Method for Language-restricted Iterated Function Systems

      • P. Prusinkiewicz, M. S. Hammel

      Pages 24-44

   4. 1/f Noise and Fractals in Economic Time Series

      • R. F. Voss

      Pages 45-52

   5. Fractal Sounds

      • Jürgen Schwietering

      Pages 53-63

   6. Fractal Geometry in Vaporisation

      • J. H. Spurk

      Pages 64-73

   7. MRT Imaging of Time Dependent Processes

      • J. Syha, A. Haase

      Pages 74-80

3. Computer Graphics

   1. Front Matter

      Pages 81-81

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   2. Fractals and Formal Texture Specification

      • Gabriele Englert, Manfred Schendel

      Pages 83-102

   3. Boundary Tracking of Complicated Surfaces with Applications to 3-D Julia Sets

      • C. Zahlten

      Pages 103-110

   4. 3D-Rendering of Fractal Landscapes

      • H. Jürgens

      Pages 111-121

   5. Fractal Interpolation of Random Fields of Fractional Brownian Motion

      • W. Rümelin

      Pages 122-132

4. Simulation

   1. Front Matter

      Pages 133-133

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   2. Simulation of Malignant Cell Growth

      • W. Düchting

      Pages 135-143

   3. Simulation of Individual Behaviour

      • E. J. Swart, P. J. Plath

      Pages 144-161

   4. Improbable Events in Deterministically Growing Patterns

      • P. J. Plath, J. Schwietering

      Pages 162-172

   5. Modeling Turbulent Gaseous Motion Using Time-Varying Fractals

      • Georgios Sakas

      Pages 173-194

   6. Devil’s Gearworks

      • G. Mantica

      Pages 195-200

5. Picture Analysis

   1. Front Matter

      Pages 201-201

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Fractal geometry has become popular in the last 15 years, its applications can be found in technology, science, or even arts. Fractal methods and formalism are seen today as a general, abstract, but nevertheless practical instrument for the description of nature in a wide sense. But it was Computer Graphics which made possible the increasing popularity of fractals several years ago, and long after their mathematical formulation. The two disciplines are tightly linked. The book contains the scientificcontributions presented in an international workshop in the "Computer Graphics Center" in Darmstadt, Germany. The target of the workshop was to present the wide spectrum of interrelationships and interactions between Fractal Geometry and Computer Graphics. The topics vary from fundamentals and new theoretical results to various applications and systems development. All contributions are original, unpublished papers.The presentations have been discussed in two working groups; the discussion results, together with actual trends and topics of future research, are reported in the last section. The topics of the book are divides into four sections: Fundamentals, Computer Graphics and Optical Simulation, Simulation of Natural Phenomena, Image Processing and Image Analysis.

• 3D
• 3D graphics
• Bildanalyse und -klassifikation
• Fraktale Simulation natürlicher Phänomene
• Graphische Datenverarbeitung
• computer graphics
• computer graphics image processing and classification
• fractals
• image analysis
• image processing
• modeling
• rend

• Technische Hochschule Darmstadt, Institut für Informationsverwaltung und Interaktive Systeme, Darmstadt, Germany

  José L. Encarnação, Georgios Sakas

• Institut für Dynamische Systeme, Universität Bremen, Bremen 33, Germany

  Heinz-Otto Peitgen

• Fraunhofer Gesellschaft, Institut für Graphische Datenverarbeitung, Darmstadt, Germany

  Gabriele Englert

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