Abstract

A discussion is presented of software which runs on a personal computer and is designed to decode and partially encode IFS (iterated function system) codes in real time. When used with a random-iteration procedure, an IFS is a mathematical model that can be used to generate a fractal set. This fractal set is an attractor of the IFS used in its generation. Two basis concepts of IFS are the collage theorem, which suggests an interactive geometric modeling algorithm for finding IFS codes, which is known as encoding, and the random iteration algorithm for computing the geometry of and rendering images starting from IFS codes, which is known as decoding. It is shown that the program works successfully on an IBM PS 2 model 80 and was used to generate beautiful fractals. Although this program does not generate an IFS code for the given image, it can be used to create different patterns and is limited only by the imagination of the user. Since this software displays both attractor as well as building blocks, it becomes very easy to learn the effects of IFS code on the attractor. >

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