Representation of discrete sequences with high-dimensional iterated function systems | |
Zhang, Tong ; Zhuang, Zhuo | |
2010-05-07 ; 2010-05-07 | |
关键词 | discrete sequences fractal interpolation Iterated Function System piece-wise hidden-variable fractal model FRACTAL INTERPOLATION FUNCTIONS MODEL Engineering, Mechanical Mechanics |
中文摘要 | Iterated Function System (IFS) models have been used to represent discrete sequences where the attractor of the IFS is self-affine or piece-wise self-affine in R-2 or R-3 (R is the set of real numbers). In this paper, the piece-wise hidden-variable fractal model is extended from R-3 to R-n (n is an integer greater than 3), which is called the high-dimensional piece-wise hidden-variable fractal model. This new model uses a "mapping partial derivative" and a constrained inverse algorithm to identify the model parameters. The model values depend continuously on all the hidden variables. Therefore, the result is very general. |
语种 | 英语 ; 英语 |
出版者 | SPRINGER ; DORDRECHT ; VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, NETHERLANDS |
内容类型 | 期刊论文 |
源URL | [http://hdl.handle.net/123456789/16318] ![]() |
专题 | 清华大学 |
推荐引用方式 GB/T 7714 | Zhang, Tong,Zhuang, Zhuo. Representation of discrete sequences with high-dimensional iterated function systems[J],2010, 2010. |
APA | Zhang, Tong,&Zhuang, Zhuo.(2010).Representation of discrete sequences with high-dimensional iterated function systems.. |
MLA | Zhang, Tong,et al."Representation of discrete sequences with high-dimensional iterated function systems".(2010). |
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