| Julia集和Mandelbrot集的反演变换 |
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| 引用本文： | 李劲菲,盛中平. Julia集和Mandelbrot集的反演变换[J]. 工程图学学报, 2012, 33(3): 125-128 |
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| 作者姓名： | 李劲菲 盛中平 |
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| 作者单位： | 1. 大庆石油高级中学,黑龙江大庆,163712
2. 东北师范大学数学与统计学院,吉林长春,130024 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 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。
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| 关 键 词： | 分形 反演图 逃逸时间算法 Julia集 Mandelbrot集 |
The inversion between Mandelbrot and Julia sets |
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| Li Jinfei
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Sheng Zhongping. The inversion between Mandelbrot and Julia sets[J]. Journal of Engineering Graphics, 2012, 33(3): 125-128 |
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| Authors: | Li Jinfei
Sheng Zhongping |
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| Affiliation: | 1.Daqing Petroleum High School,Daqing Heilongjiang 163712,China; 2.School of Mathematics and Statistics,Northeast Normal University,Changchun Jilin 130024,China) |
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| Abstract: | 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. |
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| Keywords: | fractal inversion figure escape time algorithm Julia set Mandelbrot set |
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