| 利用三角迭代生成具有周期性的分形几何图像 |
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| 引用本文： | 胡瑞安,胡纪阳.利用三角迭代生成具有周期性的分形几何图像[J].华中科技大学学报(自然科学版),1991(6). |
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| 作者姓名： | 胡瑞安 胡纪阳 |
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| 作者单位： | 华中理工大学机械工程一系
(胡瑞安)，中科院计算所CAD开放实验室(胡纪阳) |
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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： | 复平面中的迭代过程可以产生许多分形图像,曼德勃罗集是在复平面内对映射z→z~2+c进行迭代的结果,但是,曼德勃罗集的图像是无穷杂色斑驳,它不具周期性.本文利用三角迭代研究了二次变换φ(z)=z~2+c并实现了具有周期性的分形图像的可视化.研究表明:只有用计算机模拟的方法才能对它进行有效的研究.
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| 关 键 词： | 分形 三角迭代 吸引子 可视化 图像 曼德勃罗集 混沌 |
Visualization of Fractal Geometric Morphology with Periodicity |
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| Hu Ruian Hu Jiyang.Visualization of Fractal Geometric Morphology with Periodicity[J].JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY.NATURE SCIENCE,1991(6). |
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| Authors: | Hu Ruian Hu Jiyang |
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| Institution: | Hu Ruian Hu Jiyang |
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| Abstract: | The mapping of the quadratic (z) =z2 +c onto a complex z-plane was extensively studied immediately following the observation by Mandelbrot, the first person who described the fractal nature and beautiful patterns of the mapping. For quadratic mapping, the visualization of fractal geometric morphology with periodicity is investigated with periodical function during iteration. The images of fractal structure with periodicity is also discussed. Various morphologies produced by the visualization technique are chosen as examples and explained. |
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| Keywords: | Fractal Triangular iteration Attractor Visualization Image Mandelbrot set Chaos |
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