True-colour images and iterated function systems

Abstract Over recent years some mathematicians and computer scientists have used fractal geometry to generate, study and analyze complex images. Fractal techniques offer a rich source for exploitation by expert users and artists generally to `dirty up' images to eliminate the computer graphics feel and look of a sterile environment. There are several models for fractal shapes and each has certain benefits and drawbacks. All of them provide a basis for object generation but the rendering process is far from reaching the performance levels needed for interactivity. Linear fractal models such as the Iterated Function Systems seem to offer more in that matter. IFSs can serve as elegant test beds for research into interactive modeling of complex natural and artificial phenomena. This article discusses the IFS model with encoded RGB colour transformations. The method surpasses classical stochastic approaches and promises real-time generation of a wider variety of complex objects.