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分形图形与混沌图案的应用
引用本文:胡多能,王京,张瑞秋,何沛然.分形图形与混沌图案的应用[J].计算机工程与设计,2007,28(4):893-894,989.
作者姓名:胡多能  王京  张瑞秋  何沛然
作者单位:[1]华南理工大学机械工程学院,广东广州510641 [2]胜美达公司,广东广州510630
摘    要:对分形与混沌的应用进行了研究,给出了分形曲线--(1~5次)封闭Koch曲线的生成结果,并讨论了利用牛顿法解方程及其混沌情况生成图案的方法.以封闭Koch曲线和牛顿法解方程及其混沌情况图案为研究对象,把分形几何图形和牛顿法解方程之混沌情况图案相结合,实现了对封闭Koch曲线区域的填充;为分形和混沌理论在艺术领域的应用,做出了初步的尝试,研究表明分形与混沌可以被运用于艺术上.

关 键 词:分形  混沌  图形  图案  科荷曲线  牛顿法解方程  分形图形  混沌理论  图案  域的应用  image  chaos  graphics  fractal  运用  艺术  区域  结合  几何图形  对象  曲线的生成  方法  情况  解方程  牛顿法  利用
文章编号:1000-7024(2007)04-0893-02
修稿时间:2006-07-02

Application of fractal graphics and chaos image
HU Duo-neng,WANG Jing,ZHANG Rui-qiu,HE Pei-ran.Application of fractal graphics and chaos image[J].Computer Engineering and Design,2007,28(4):893-894,989.
Authors:HU Duo-neng  WANG Jing  ZHANG Rui-qiu  HE Pei-ran
Affiliation:1. College of Mechanical Engineering, South China University Technology, Guangzhou 510641, China; 2. Shcnmeida Limted Company, Guangzhou 510630, China
Abstract:The application of fractal and chaos is reseanhed.Fractal curve-the(1~5) closed Koch curve's generated results are given.The Newton's solving equation is discussed while the Chaos situation,and pictorial methods are generated.The closed Koch curve and the Newton's solving equation while the Chaos for the study,fractal graphics,and the Newton's solving equation while the Chaos situation of image,had been combined for applying.The closed Koch curve was filled with the Newton's solving equation whiles the Chaos situation of image.An initial attempt to apply fractal and chaos in art's areas was made.It is indicated that fractal and chaos can be used in art's areas.
Keywords:fractal  chaos  graphic  image  Koch curve  Newton's solving equation
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