A new fractal algorithm to model discrete sequences  

作　　者：翟明岳 Heidi Kuzuma James W. Rector 

机构地区：[1]School of EE Engineering,North China Electric Power University [2]Department of Civil Engineering,University of California [3]Lawrence Berkeley Laboratory

出　　处：《Chinese Physics B》2010年第9期274-278,共5页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos.60972004 and 60402004)

摘　　要：Employing the properties of the affine mappings, a very novel fractal model scheme based on the iterative function system is proposed. We obtain the vertical scaling factors by a set of the middle points in each affine transform, solving the difficulty in determining the vertical scaling factors, one of the most difficult challenges faced by the fractal interpolation. The proposed method is carried out by interpolating the known attractor and the real discrete sequences from seismic data. The results show that a great accuracy in reconstruction of the known attractor and seismic profile is found, leading to a significant improvement over other fractal interpolation schemes.Employing the properties of the affine mappings, a very novel fractal model scheme based on the iterative function system is proposed. We obtain the vertical scaling factors by a set of the middle points in each affine transform, solving the difficulty in determining the vertical scaling factors, one of the most difficult challenges faced by the fractal interpolation. The proposed method is carried out by interpolating the known attractor and the real discrete sequences from seismic data. The results show that a great accuracy in reconstruction of the known attractor and seismic profile is found, leading to a significant improvement over other fractal interpolation schemes.

关 键 词：fractal interpolation the vertical scaling factors iterative function system seismic data 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]