期刊文献+

一种带自动参量的迭代函数系统 被引量:6

An Iterated Function System with Auto-Parameters
下载PDF
导出
摘要 迭代函数系统(IFS)是生成分形吸引子的经典方法。基于IFS理论研究了系统的控制参数可以随计算程序的迭代过程不断自动变化的情况,在原有系统的迭代码中,通过嵌入不同形式的函数对原有系统进行改造,拓宽了系统的参数调控范围。实验表明,利用推广后的系统能构造大量造型新颖的吸引子图像。 It has been know that Iterated Function System (IFS) is a typical method for making fractal images. The paper finds that the controlling parameters can be changed automatically with the iterated process of computer program. When adding different functions into iterated code of original system, the range of parameter controlling can be extended. The experimental results show that the new system can make much more new fractal images.
作者 章立亮
出处 《工程图学学报》 CSCD 北大核心 2006年第2期171-175,共5页 Journal of Engineering Graphics
基金 福建省自然科学基金资助项目(Z0511053) 福建省教育厅科研资助项目(JB03279)
关键词 计算机应用 迭代函数系统 分形图形 分形吸引子 computer application iterated function system fractal image fractal attractor
  • 相关文献

参考文献7

二级参考文献41

  • 1G. MICHON ,J. PEYRIERE(University de Bourgogne, URA 755, BP 138, 21004 Dijon, dance.)(University de Paris-Sud, Centre d’Orsayl URA 757, 91405 Orsayt dance.).THERMODYNAMIQUE DES ENSEMBLES DE CANTOR AUTOSIMILAIRES (THERMODYNAMICS OF SELF-SIMILAR CANTOR SETS)[J].Chinese Annals of Mathematics,Series B,1994,15(3):253-272. 被引量:1
  • 2华苏.广义自相似集的维数研究[J].应用数学学报,1994,17(4):551-558. 被引量:33
  • 3Su Hua,Hui Rao,Zhiying Wen,Jun Wu.On the Structures and dimensions of Moran sets[J]. Science in China Series A: Mathematics . 2000 (8)
  • 4Richard Kenyon.Projecting the one-dimensional Sierpinski gasket[J]. Israel Journal of Mathematics . 1997 (1)
  • 5Dejun Feng,Zhiying Wen,Jun Wu.Some dimensional results for homogeneous Moran sets[J]. Science in China Series A: Mathematics . 1997 (5)
  • 6Yakov Pesin,Howard Weiss.On the dimension of deterministic and random Cantor-like sets, symbolic dynamics, and the Eckmann-Ruelle Conjecture[J]. Communications in Mathematical Physics . 1996 (1)
  • 7Matthias Arbeiter.Random recursive construction of self-similar fractal measures. The noncompact case[J]. Probability Theory and Related Fields . 1991 (4)
  • 8Siegried Graf.Statistically self-similar fractals[J]. Probability Theory and Related Fields . 1987 (3)
  • 9Bedford,T.Applications of dynamical systems to fractal——Astudy of cookie-cutter Cantor sets. Fractal Geometry and Analysis . 1991
  • 10Liu Yanyan.Some studies of random fractals. . 2001

共引文献20

同被引文献36

引证文献6

二级引证文献13

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