An Eztension of Recurrent Iterated Function System-From the Viewpoint of Graph Theory and Product Space

摘要：

Fractal Interpolation Function is the attractor of Iterated Function System (IFS),to overcome the weakness of IFS that IFS only reflect the similarity between global region and local region of a graph,Barnsley put forward the Recurrent Iterated Function System and the Recurrent Fractal Interpolation Function.RIFS reflect the similarity between local and local,it can make more complicated graph.In his paper,Barnsley strictly proved the existence and uniqueness of the attractor of RIFS,but he didnt give the relationship between RIFS and Recurrent Fractal Interpolation Function.Based on his research,we extended the concept of RIFS and prove the existence and uniqueness of its attractor.Further more,we can see that under our extended definition,the Recur rent Fractal Interpolation Function can be seen as the attractor of a RIFS.

关键词： RIFS Attractor Recurrent Fractal Interpolation Function

作者: Li Wang Zhen-Ping Li

作者单位: School of Economics,Renmin University of China,Beijing 100872,China School of Information,Beijing Wuzi University,Beijing 101149,China

会议类型: 国际会议

会议名称: The 8th International Symposium on Operations Research and Its Applications(第八届运筹及其应用国际专题讨论会 ISORA09)

会议地点: 张家界

会议语种:英文

页码: 488-494

在线出版日期: 2009-09-20（万方平台首次上网日期，不代表论文的发表时间）