| 基于Julia集的花型图案绘制 |
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| 引用本文： | 于红志.基于Julia集的花型图案绘制[J].大连大学学报,2003,24(4):13-16. |
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| 作者姓名： | 于红志 |
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| 作者单位： | 大连大学,信息工程学院,辽宁,大连,116622 |
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| 摘 要： | 复数域的非线性映射f(Z)=Z~2+c,是产生分数维图形的一种方法,这种映射能从一种算法中产生出丰富的几何形态——Julia集。由高阶迭代函数f(Z)=Z~m+c,逃逸时间算法及复变函数理论,可推导出高阶Julia集逃逸时间算法,当c取不同的值时,即可绘制出美丽多姿的分形花,且其花瓣数目取决于迭代函数的阶数m,即用m阶迭代函数绘制的分形花呈现出m个花瓣,分形作为一种新颖的图形辅助设计方法,可应用于许多领域。
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| 关 键 词： | 分形 Julia集 逃逸时间算法 迭代函数 |
| 文章编号： | 1008-2395(2003)04-0013-04 |
| 修稿时间： | 2003年3月19日 |
Image of flower pattern design based on the Julia set |
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| YU Hong-zhi.Image of flower pattern design based on the Julia set[J].Journal of Dalian University,2003,24(4):13-16. |
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| Authors: | YU Hong-zhi |
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| Abstract: | The nonlinear complex mapping f(Z) = Z2+c is a kind of method to design Fractal image and by one algorithm,
which can design very plentiful geometry apearance——Julia set. When c is given different number colorful Fractal flowers can
be designed by the high-order interation function f(Z)=Zm + c by the escape time algorithm and the complex function. The numbers of the petals are due to the orders of the interation function, that is, there are m petals of the Fractal flowers with the m-order interation function. Fractal is a novel methods of pattern aided design, which will be applied in many fields extensively. |
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| Keywords: | fractal Julia set escape time algorithm interation function |
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