Representation of discrete sequences with high-dimensional iterated function systems

被引:0
|
作者
Tong Zhang
Zhuo Zhuang
机构
[1] Beijing University of Aeronautics and Astronautics,Solid Mechanics Research Center
[2] Tsinghua University,Department of Engineering Mechanics, School of Aerospace
来源
Nonlinear Dynamics | 2007年 / 49卷
关键词
Discrete sequences; Fractal interpolation; Iterated Function System; Piece-wise hidden-variable fractal model;
D O I
暂无
中图分类号
学科分类号
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 R2 or R3 (R is the set of real numbers). In this paper, the piece-wise hidden-variable fractal model is extended from R3 to Rn (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.
引用
收藏
页码:49 / 57
页数:8
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