Read more
Fractal geometry has become popular in the last 15 years,its applications can be found in technology, science, oreven arts. Fractal methods and formalism are seen today as ageneral, abstract, but nevertheless practical instrument forthe description of nature in a wide sense. But it wasComputer Graphics which made possible the increasingpopularity of fractals several years ago, and long aftertheir mathematical formulation. The two disciplines aretightly linked.The book contains the scientificcontributions presentedin an international workshop in the "Computer GraphicsCenter" in Darmstadt, Germany. Thetarget of the workshop was to present the wide spectrumof interrelationships and interactions between FractalGeometry and Computer Graphics. The topics vary fromfundamentals and new theoretical results to variousapplications and systems development. All contributions areoriginal, unpublished papers.The presentations have beendiscussed in two working groups; the discussion results,together with actual trends and topics of future research,are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 ImageAnalysis.
List of contents
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.
