基于牛顿迭代算法的分形艺术图形设计  

Design of Fractal Art Graphics Based on Newton Iterative Algorithm

作　　者：叶家鸣[1] 蒋永花[1] 

机构地区：[1]安庆师范学院计算机与信息学院,安徽安庆246011

出　　处：《计算机技术与发展》2008年第4期88-91,共4页Computer Technology and Development

基　　金：安徽省自然科学基金项目(2005KJ366zc)

摘　　要：分形艺术图形是分形艺术最主要的表现形式之一,分形艺术图形的生成需要借助计算机,并通过数学模型和程序才能完成。文中主要利用牛顿迭代算法、特效处理算法和着色算法生成分形艺术图形,其中牛顿迭代算法是核心算法,为创作分形艺术图形提供素材;着色算法也是不可缺少的,为创作分形艺术图形提供调色板,决定了生成的分形艺术图形的精美程度;特效处理算法是可选的,对分形艺术图形进行二次加工,也在一定程度上决定了分形艺术图形的精美程度。笔者利用Visual C++6.0开发工具编制了一个分形艺术图形生成软件,生成了大量绚丽多彩的分形艺术图形,这说明该算法是有效的。Fraetal art graphics is one of the important methods that fractal art appears. With the help of computer, fractal art graphics were created through mathematical model and program, in this paper, Newton iterative algorithm, special effective process algorithm, and coloring algorithm were used for generating fractal art graphics. Newton iterative algorithm was the core algorithm, and it provided materials for fractal art graphics. Coloring algorithm was also essential, and it provided palette, so it determined how beautiful the fraetal art graphics was. Special effective algorithm was the optional algorithm, but it provided the second process for the generated fractal art graphics, so it also determined how beautiful the fraetal art graphics showed to a certain extent. Fractal art graphics generating software was developed using Microsoft Visual C＋＋6.0, and a lot of gorgeous fraetal art graphics were generated. This proved the algonthm was effective.

关 键 词：分形艺术 特效处理 牛顿迭代 着色算法 

分 类 号：TN911.73[电子电信—通信与信息系统]