高阶Julia集的两种生成方法及特点分析

Two Generation Methods of High-Order Julia Set and Their Characteristics Analysis

计算机图形可视化的发展，使Julia集分形图成了研究复动力系统的一种有力工具。该文将二次复映射f（z）＝z2＋c在动态平面上拓广到高阶复映射f（z）＝zn＋c，分别给出了高阶Julia集的两种生成方法：逃逸时间算法和随机反函数迭代算法，并对两种算法的适用范围、图形性质、生成速度等特性进行了对比。

Since sophisticated computer visualization techniques have developed. the Julia set is becoming an effective tool in investigations of the behavior of complex dynamical systems. In the dynamical plane, the generalized complex mapping function f(z)=zn+c is considered based on the self-squared function, f(z)=z2+c. Two typical methods for generating fractal images, the escape-time algorithm and the stochastic inverse iterated function algorithm, are given in detailed. In addition, the applicability, features of images and time-cost of the two methods are analysed.