期刊文献+

平面带群对称性图像的动力系统构图 被引量:1

Patterns with planar frieze symmetries generated from dynamical systems
下载PDF
导出
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。 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.
作者 邹玉茹 鲁坚
出处 《计算机工程与应用》 CSCD 北大核心 2009年第14期10-11,99,共3页 Computer Engineering and Applications
基金 国家自然科学基金No.60873168 广东省自然科学基金No.2008257 深圳大学科研启动基金No.200864 No.200850~~
关键词 带群 混沌 动力系统 不变函数 frieze group chaos dynamical systems invariant functions
  • 相关文献

参考文献9

  • 1Field M,Golubitsky M.Symmetry in chaos[M].New York : Oxford University Press, 1992.
  • 2Carter N C,Eagles R L,Hahn A C,et al.Chaotic attractors with discrete planar symmetries[J].Chaos,Solitons and Fractals, 1998,9(12) : 2031-2054.
  • 3Armstrong M A.Groups and symmetry[M].New York:Springer-Verlag, 1988.
  • 4Chung K W,Ma H M.Automatic generation of aesthetic patterns on fractal tilings by means of dynamical systems[J].Chaos,Solitons & Fractals, 2005,24:1145-1158.
  • 5王兴元,石其江.拟3D的广义M-J集[J].计算机辅助设计与图形学学报,2006,18(11):1683-1690. 被引量:5
  • 6邹玉茹,李文侠,鲁坚.Chair Tilings非周期艺术图案的生成[J].计算机辅助设计与图形学学报,2006,18(4):498-501. 被引量:10
  • 7Lu J,Ye Z X,Zou Y R,et al.Orbit trap rendering method for generating artistic images with crystallographic symmetries[J].Computers and Graphics, 2006,29(5 ) : 794-801.
  • 8Zou Y R,Li W X,Lu J,et al.Orbit trap rendering method for generating artistic images with cyclic or dihedral symmetry[J].Computers & Graphics, 2006,30(6) : 471-474.
  • 9Lu J,Ye Z X,Zou Y R.Automatic generation of colorful patterns with wallpaper symmetries from dynamics[J].The Visual Computer, 2007,23 (6) : 446-449.

二级参考文献10

  • 1王兴元,刘威.利用陷阱技术构造伪3D牛顿变换的M-J集[J].计算机辅助设计与图形学学报,2005,17(4):754-760. 被引量:7
  • 2王兴元.一类复映射系的广义Mandelbrot集[J].中国图象图形学报,2006,11(2):259-264. 被引量:2
  • 3Carter N C, Eagles R L, Hahn A C, et al. Chaotic attractors with discrete planar symmetries[J]. Chaos, Solitons and Fractals, 1998, 9(12): 2031-2054
  • 4Uwe G, Michael S. Aperiodic tilings on the computer[OL]. [2005-03-10]. http://www.arxiv.org/abs/cond-mat/9903010
  • 5Jones K C. Chaotic attractors with cyclic symmetry revisited[J]. Computers & Graphics, 2000, 24(2): 271-282
  • 6Chung K W, Wang B N. Tessellations with symmetries of the triangle groups from dynamics[J]. International Journal of Bifurcation and Chaos, 2003, 11(13): 3505-3518
  • 7Field M, Golubitsky M. Symmetry in chaos[M]. New York: Oxford University Press, 1992
  • 8Chung K W, Chan H S Y, Wang B N. Automatic generation of nonperiodic patterns from dynamical systems[J]. Chaos, Solitons and Fractals, 2004, 19(5): 1177-1187
  • 9Gruenbaum B, Shephard G C. Tilings and patterns[M]. New York: Freeman, 1987
  • 10王兴元.Fractal structures of the non-boundary region of the generalized Mandelbrot set[J].Progress in Natural Science:Materials International,2001,11(9):55-62. 被引量:8

共引文献9

同被引文献11

  • 1李爱国.多粒子群协同优化算法[J].复旦学报(自然科学版),2004,43(5):923-925. 被引量:398
  • 2孙波,陈卫东,席裕庚.基于粒子群优化算法的移动机器人全局路径规划[J].控制与决策,2005,20(9):1052-1055. 被引量:79
  • 3祁春清,宋正强.基于粒子群优化模糊控制器永磁同步电机控制[J].中国电机工程学报,2006,26(17):158-162. 被引量:43
  • 4Field M, Golubitsky M. Symmetry in Chaos [ M ]. Oxford : Ox- ford University Press,1992.
  • 5Carter N, Eagles R, Grimes S, et al. Chaotic attractors with dis- crete planar symmetries [ J ]. Chaos Solitions and Fractals,1998,9(12) :2031-2054.
  • 6迟东旋,付冲,郭颖,等.IFS吸引子构造混沌分形图的分类研究[C]//2004年中国控制与决策学术年会论文集.出版地不详:出版者不详,2004:39-42.
  • 7Sprott J C. Automatic generation of strange attractors [ J ]. Computers & Graphics, 1993,17 ( 3 ) : 325-332.
  • 8Goertzel B. Rapid generation of strange attractors with the eu- genic genetic algorithm [ J ]. Computers & Graphics, 1995,19 (1) :151-156.
  • 9Kennedy J, Eberhart R C. Particle swarm optimization [ C ]// Proc of IEEE International Conference on Neural Networks, IV. Piscataway, NJ : IEEE Service Center, 1995 : 1942-1948.
  • 10江燕,刘昌明,胡铁松,武夏宁.新安江模型参数优选的改进粒子群算法[J].水利学报,2007,38(10):1200-1206. 被引量:46

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部