Patterns with planar frieze symmetries generated from dynamical systems

doi:10.3778/j.issn.1002-8331.2009.14.003

Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (14): 10-11.DOI: 10.3778/j.issn.1002-8331.2009.14.003

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Patterns with planar frieze symmetries generated from dynamical systems

ZOU Yu-ru,LU Jian

College of Mathematics and Computational Science，Shenzhen University，Shenzhen，Guangdong 518060，China

Received:2008-12-30 Revised:2009-02-16 Online:2009-05-11 Published:2009-05-11
Contact: ZOU Yu-ru

平面带群对称性图像的动力系统构图

邹玉茹,鲁坚

深圳大学数学与计算科学学院，广东深圳 518060

通讯作者: 邹玉茹

Abstract

Abstract: This paper presents a new method for generating colorful images with frieze symmetries from dynamical systems.By taking chaotic functions with frieze symmetries to be iterating functions，and constructing the invariant functions with respect to frieze group，visually fascinating images with frieze symmetries can be created in this way.Meanwhile，the mathematical principles of the new rendering method are given.The method proposed here provides a novel approach for devising planar symmetric images.

Key words: frieze group, chaos, dynamical systems, invariant functions

摘要： 探讨了动力系统迭代生成具有平面带群对称性彩色图像的一种新方法。把具有带群对称性混沌函数作为迭代函数系统，构造关于平面带群的不变函数，生成具有很强艺术效果的带群对称性图像。同时给出了该生成技术的理论基础。该方法为平面设计对称图像提供了一种新方法。

关键词: 带群, 混沌, 动力系统, 不变函数

ZOU Yu-ru,LU Jian. Patterns with planar frieze symmetries generated from dynamical systems[J]. Computer Engineering and Applications, 2009, 45(14): 10-11.

邹玉茹,鲁坚. 平面带群对称性图像的动力系统构图[J]. 计算机工程与应用, 2009, 45(14): 10-11.

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Patterns with planar frieze symmetries generated from dynamical systems

平面带群对称性图像的动力系统构图

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