迭代函数能在计算机上呈现出有趣的分形图像，本文通过探讨迭代函数的特性，进而研究分形图像的形成方法，重点研究了三个典型分形图集：分支图、茹利亚集、芒德布罗集，然后论述了混沌和分形的关系，最后还分析了分形图像的应用前景。-IFS can on the computer showing interesting fractal image, the paper by exploring Iterated Function features, which studies fractal image formation, focus on the three typical fractal Atlas : bifurcation diagram, Julia sets, Mans De set, and then discussed the chaos and fractal relations and finally analysis of the fractal image application.