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	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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