Study on Fractal Images Construction with Topology Invariance IFS Attractor

Fractal is the theory of studying the geometry and rules behind the nonlinear complex systems with self-similarity structure that widely exists in the nature and IFS is the key technology for constructing fractal images. This paper studies various computer construction algorithms for generating fractal images based on IFS attractor and their application range and limitation are analyzed. The deterministic algorithm, IFS (Iterated Function System) with Probability algorithm, string substitution algorithm, escape time algorithm and inverse function iteration algorithm are compared and discussed in detail, and the basic rules of constructing fractal images are concluded. The iteration arguments, expression and the fractal images that implemented by Java are also given.