| 迭代函数系统IFS随机分形的生成方法 |
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| 引用本文： | 章立亮.迭代函数系统IFS随机分形的生成方法[J].计算机工程与设计,2008,29(15). |
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| 作者姓名： | 章立亮 |
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| 作者单位： | 宁德师范高等专科学校数学研究所,福建宁德352100 |
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| 基金项目： | 福建省教育厅A类科技基金 |
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| 摘 要： | 研究了迭代函数系统IFS随机分形的构造问题,在对已有几种方法分析的基础上,提出了基于概率分布随机和生成元随机的方法.通过引入随机因素对带概率的IFS的伴随概率集作随机化处理,使得伴随概率呈随机分布,在逐次迭代计算过程中对系统生成元进行随机演变,实现IFS随机分形的计算机生成,并以树木模拟为实例展示了所给方法的模拟效果.最后指出了随机分形生成仍需要进一步深入研究的问题.
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| 关 键 词： | 迭代函数系统 随机分形 随机数 概率分布 生成元 |
Methods for random fractal generation based on iterated function system |
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| ZHANG Li-liang.Methods for random fractal generation based on iterated function system[J].Computer Engineering and Design,2008,29(15). |
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| Authors: | ZHANG Li-liang |
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| Affiliation: | ZHANG Li-liang(Institute of Matheatics,Ningde Teachers College,Ningde 352100,China) |
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| Abstract: | The methods of generation random fractal modeling based on IFS is researched.Based on the analysis of existing several me-thods,two methods for random fractal image generation is presented.Firstly,using the random factors to change probability distribution and generator of IFS.Then,random fractal images of IFS simulated with computer and the effects of the methods are shown by computer mathematics experiments in the simulation of the tree.Finally,some problems worth discussing and directions of further rese... |
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| Keywords: | iterated function system random fractal random number probability distribution generator |
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