摘要
论文讨论了居里叶集与曼德尔布罗特集的反演变换问题,通过扩充复平面上关于任意定点的反演变换,获得了两类共轭函数。使得这两类共轭函数的居里叶集与曼德尔布罗特集,恰好是原居里叶集与曼德尔布罗特集关于定点的反演变换,并运用逃逸时间算法绘制居里叶集和曼德尔布罗特集的反演图。
The inversion problem between Mandelbrot and Julia sets is discussed in this paper.Providing the inversions of arbitrary point on extended complex plane to iterative functions,it obtains two kinds of conjugate function of the iterative function drawing Julia and Mandelbrot sets.The Julia and Mandelbrot sets for the two kinds of conjugate function,are exactly the inversion figures of original ones.Using the escape time algorithm,it draws the inversion figures of Julia and Mandelbrot sets.
出处
《图学学报》
CSCD
北大核心
2012年第3期125-128,共4页
Journal of Graphics
基金
国家自然科学基金资助项目(10971022)
