Detrended fluctuation analysis for fractals and multifractals in higher dimensions.
Phys Rev E Stat Nonlin Soft Matter Phys
; 74(6 Pt 1): 061104, 2006 Dec.
Article
em En
| MEDLINE
| ID: mdl-17280035
ABSTRACT
One-dimensional detrended fluctuation analysis (DFA) and multifractal detrended fluctuation analysis (MFDFA) are widely used in the scaling analysis of fractal and multifractal time series because they are accurate and easy to implement. In this paper we generalize the one-dimensional DFA and MFDFA to higher-dimensional versions. The generalization works well when tested with synthetic surfaces including fractional Brownian surfaces and multifractal surfaces. The two-dimensional MFDFA is also adopted to analyze two images from nature and experiment, and nice scaling laws are unraveled.
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Coleções:
01-internacional
Base de dados:
MEDLINE
Idioma:
En
Revista:
Phys Rev E Stat Nonlin Soft Matter Phys
Assunto da revista:
BIOFISICA
/
FISIOLOGIA
Ano de publicação:
2006
Tipo de documento:
Article
País de afiliação:
China