Fractal geometry has become popular in the last 15 years, and its applications can be found in technology, science or even the 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, long after their mathematical formulation. The two disciplines are tightly linked. This book contains the scientific contributions to an international workshop held at the Computer Graphics Centre in Darmstadt, Germany. The target of the workshop was to present the wide spectrum of inter-relationships 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 All contributions are original, unpublished papers.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 divided into four sections: fundamentals, computer grapics and optical simulation, simulation of natural phenomena, image processing and image analysis.
I. Part: Fundamentals.- Linear Cellular Automata, Substitutions, Hierarchical Iterated Function Systems and Attractors.- Escape-time Visualization Method for Language-restricted Iterated Function Systems.- 1/f Noise and Fractals in Economic Time Series.- Fractal Sounds.- Fractal Geometry in Vaporisation.- MRT Imaging of Time Dependent Processes.- II. Part: Computer Graphics.- Fractals and Formal Texture Specification.- Boundary Tracking of Complicated Surfaces with Applications to 3-D Julia Sets.- 3D-Rendering of Fractal Landscapes.- Fractal Interpolation of Random Fields of Fractional Brownian Motion.- III. Part: Simulation.- Simulation of Malignant Cell Growth.- Simulation of Individual Behaviour.- Improbable Events in Deterministically Growing Patterns.- Modeling Turbulent Gaseous Motion Using Time-Varying Fractals.- Devil’s Gearworks.- IV. Part: Picture Analysis.- Dentronic Analysis of Pictures, Fractals and other Complex Structures.- Texture Analysis Using Fractal Dimensions.- Limited Selfsimilarity.- Fractal 3D Analysis of Blood Vessels and Bones.- V. Part: Working Group Results.- Random Fractals Working Group Results.- Modeling and Simulation Working Group Results.
Reviews for Fractal Geometry and Computer Graphics
The variety of applications...is so broad that almost every newcomer...can use these protocols as a starting point for a specific study...highly recommended for purchase by everyone interested in the comparative gene expression, and especially to newcomers to the field. - Trends in Biotechnology
