Fractal Geometry and Computer Graphics

ISBN-13: 9783540553175 / Angielski / Miękka / 1992 / 257 str.

Jose L. Encarnacao; Heinz-Otto Peitgen; Georgios Sakas

Opis

The aim of these conference papers was to present the wide spectrum of inter-relationships and interactions between fractal geometry and computer graphics. Topics discussed include computer graphics and optical simulation, image processing, image analysis and the simulation of natural phenomena.

Spis treści

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.