摘要
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.
出处
《计算机工程与应用》
CSCD
北大核心
2000年第6期25-27,共3页
Computer Engineering and Applications
基金
国家自然科学基金
浙江省自然科学基金
关键词
分形
计算机图形可视化
高阶Julia集
随机反函数
fractal, J-Set, escape-time algorithm, stochastic iterated inverse function algorithm
