文献类型：期刊文献

英文题名：Detrended fluctuation analysis for fractals and multifractals in higher dimensions

作者：Gu, Gao-Feng[1,2]; Zhou, Wei-Xing[2]

机构：[1]E China Univ Sci & Technol, Sch Business, Shanghai 200237, Peoples R China;[2]E China Univ Sci & Technol, Res Ctr Syst Engn, Shanghai 200237, Peoples R China;[3]E China Univ Sci & Technol, Sch Sci, Shanghai 200237, Peoples R China

年份：2006

卷号：74

期号：6

外文期刊名：PHYSICAL REVIEW E

收录：;EI(收录号：20065110312864);WOS:【SCI-EXPANDED(收录号:WOS:000243165300008)】；

语种：英文

外文关键词：Brownian movement - Image analysis - Surface properties - Time series analysis

摘要：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.