Detrended fluctuation analysis for fractals and multifractals in higher dimensions
General Physics
2007-05-23 v2 Data Analysis, Statistics and Probability
Abstract
One-dimensional detrended fluctuation analysis (1D DFA) and multifractal detrended fluctuation analysis (1D MF-DFA) are widely used in the scaling analysis of fractal and multifractal time series because of being accurate and easy to implement. In this paper we generalize the one-dimensional DFA and MF-DFA to higher-dimensional versions. The generalization works well when tested with synthetic surfaces including fractional Brownian surfaces and multifractal surfaces. The two-dimensional MF-DFA is also adopted to analyze two images from nature and experiment and nice scaling laws are unraveled.
Cite
@article{arxiv.physics/0607194,
title = {Detrended fluctuation analysis for fractals and multifractals in higher dimensions},
author = {Gao-Feng Gu and Wei-Xing Zhou},
journal= {arXiv preprint arXiv:physics/0607194},
year = {2007}
}
Comments
7 Revtex pages inluding 11 eps figures