Fitting curves by fractal interpolation: An application to the quantification of cognitive brain processes

被引：30

作者：

Navascues, MA ^{[1
]}

Sebastian, MV ^{[1
]}

机构：

[1] Univ Zaragoza, Ctr Politecn Super Ingn, Dept Matemat Aplicada, Zaragoza 50018, Spain

来源：

THINKING IN PATTERNS: FRACTALS AND RELATED PHENOMENA IN NATURE | 2004年

关键词：

D O I：

10.1142/9789812702746_0011

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Fractal interpolants of Barnsley are defined for any continuous function defined on a real compact interval. The uniform distance between the function and its approximant is bounded in terms of the vertical scale factors. As a general result, the density of the affine fractal interpolation functions of Barnsley in the space of continuous functions in a compact interval is proved. A method of data fitting by means of fractal interpolation functions is proposed. The procedure is applied to the quantification of cognitive brain processes. In particular, the increase in the complexity of the electroencephalographic signal produced by the execution of a test of visual attention is studied. The experiment was performed on two types of children: a healthy control group and a set of children diagnosed with an attention deficit disorder.

引用

页码：143 / 154

页数：12

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