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计算机绘制分形图的算法与程序
Algorithms and programs of drawing fractals by computer
【摘要】 介绍了分数维造型的一些基本要求以及利用它绘制分形图的几种重要算法的原理和部分程序实现,对它们的优缺点进行了比较,阐述了它们分别适应的场合,并推导出了复平面域下某些一元高次多项式(族)其牛顿迭代关系式的Julia集的绘制公式,得到了一些较重要的结论。
【Abstract】 This paper introduces some basic requirements of fractal dimension casting and several important algorithms’ theories by which fractal picture is brawn and parts of programs are realized, and then contrasts their advantage and disadvantage, expounds their fitting occasion, and makes out some formula of some polynomials in complex field to drawing their Julia sets, draws some important conclusions.
【关键词】 分形;
分数维;
造型;
双曲迭代函数系;
逃逸时间;
算法;
【Key words】 fractal; fractal dimension; casting; iterated function system; escape- time; algorithm;
【Key words】 fractal; fractal dimension; casting; iterated function system; escape- time; algorithm;
- 【文献出处】 沈阳工业大学学报 ,JOURNAL OF SHENYANG POLYTECHNIC UNIVERSITY , 编辑部邮箱 ,2000年03期
- 【分类号】TP391.7
- 【被引频次】4
- 【下载频次】182