An Accelerated Algorithm of Constructing General High-order Mandelbrot and Julia Sets
A series of high order Mandelbrot and Julia fractal images of complex map f: z ← zn +c(n ＞ 2, n∈N) are constructed by using escape time algorithm. Topology invariance and the relation between period bud distribution and map orders are found through lots of computer-mathematic experiments.The escape time algorithm is improved on basis of the rotation symmetric property of Mandelbrot and Julia sets, and then a rotation escape time algorithm is established. The high-order Mandelbrot and Julia sets fractal images are generated by using Web oriented Java Applet. Therefore the complexity of computer simulation under complex conditions is greatly reduced. The application of Java technology provides an Internet-based distribution platform for chaos-fractal theory study.
Mandelbrot set Julia set Escape time Algorithm Computer graphics
WANG Peirong XU Zhe FU Chong ZHU Weiyong
School of Information Science and Engineering Northeastern University Shenyang 110004, P.R.China
国际会议
厦门
英文
80-83
2006-07-27（万方平台首次上网日期，不代表论文的发表时间）