Detrended fluctuation analysis for fractals and multifractals in higher dimensions
| dc.creator | Gu, Gao-Feng | |
| dc.creator | Zhou, Wei-Xing | |
| dc.date | 2006-07-23 | |
| dc.date | 2006-08-08 | |
| dc.date.accessioned | 2026-07-07T07:22:43Z | |
| dc.date.available | 2026-07-07T07:22:43Z | |
| dc.description | 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. | |
| dc.description | 7 Revtex pages inluding 11 eps figures | |
| dc.identifier | https://arxiv.org/abs/physics/0607194 | |
| dc.identifier | http://arxiv.org/abs/physics/0607194 | |
| dc.identifier | Physical Review E 74, 061104 (2006) | |
| dc.identifier | doi:10.1103/PhysRevE.74.061104 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/115763 | |
| dc.subject | General Physics | |
| dc.subject | Data Analysis, Statistics and Probability | |
| dc.title | Detrended fluctuation analysis for fractals and multifractals in higher dimensions | |
| dc.type | text |