A new fractal algorithm to model discrete sequences

被引：0

作者：

Zhai Ming-Yue ^{[1
]}

Kuzuma, Heidi ^{[2
]}

Rector, James W. ^{[2
,3
]}

机构：

[1] N China Elect Power Univ, Sch EE Engn, Beijing 102206, Peoples R China

[2] Univ Calif Berkeley, Dept Civil Engn, Berkeley, CA 94530 USA

[3] Lawrence Berkeley Lab, Berkeley, CA 94530 USA

来源：

CHINESE PHYSICS B | 2010年 / 19卷 / 09期

基金：

中国国家自然科学基金;

关键词：

fractal interpolation; the vertical scaling factors; iterative function system; seismic data; ITERATED FUNCTION SYSTEMS; INTERPOLATION FUNCTIONS; SELF-SIMILARITY; RECONSTRUCTION; SPLINES; SIGNALS;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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.

引用

页数：5

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