基于遗传算法的分形艺术图案生成方法

山东大学学报(工学版) ›› 2008, Vol. 38 ›› Issue (6): 33-36.

基于遗传算法的分形艺术图案生成方法

李杰刘弘

山东师范大学信息科学与工程学院,　山东济南　250014

收稿日期:2008-09-17 出版日期:2008-12-16 发布日期:2008-12-16
通讯作者: 刘弘（1955-）,女, 博士, 教授, 主要研究方向为进化计算，CSCW,多Agent系统,机器学习. E-mail: hongliu@sdnu.edu.cn
作者简介:李杰（1983-）,男,硕士研究生，主要研究方向为进化计算，计算机辅助设计，机器学习. E-mail:lijieb31@163.com
基金资助:
国家自然科学基金资助项目(60743010)

A method of fractal artistic pattern generation based on a genetic algorithm

College of Information Science and Engineering, Shandong Normal University, Jinan 250014, China

Received:2008-09-17 Online:2008-12-16 Published:2008-12-16

摘要/Abstract

摘要：

将遗传算法与分形艺术设计相结合,提出一种基于遗传算法的分形图案生成方法.这种方法通过二叉树结构表示分形图案的迭代函数，并对树型结构表示的迭代函数进行遗传操作，产生新的后代.为更快、更好地满足用户提出的设计需求提供了有利帮助.通过实验验证其算法的可行性.

关键词: 遗传算法；分形；二叉树；迭代函数

Abstract:

Based on the combination of a genetic algorithm and the fractal artistic design, a new method of fractal pattern generation based on a genetic algorithm was proposed. In this method, the binary tree structure was used as the expression of the iterated functions of fractal pattern, and genetic operations were operated on the iterated functions with tree structure to produce new offspring. This method is helpful in meeting the demands of design. The feasibility of this algorithm was also validated by experiments.

Key words: genetic algorithm； fract； binary tree； iterated function

李杰刘弘. 基于遗传算法的分形艺术图案生成方法[J]. 山东大学学报(工学版), 2008, 38(6): 33-36.

LI Jie ，LIU Hong. A method of fractal artistic pattern generation based on a genetic algorithm[J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2008, 38(6): 33-36.

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