Multiresolution Markov models for signal and image processing

AS Willsky - Proceedings of the IEEE, 2002 - ieeexplore.ieee.org
Reviews a significant component of the rich field of statistical multiresolution (MR) modeling
and processing. These MR methods have found application and permeated the literature of …

A multifractal analysis of mineralization characteristics of the Dayingezhuang disseminated-veinlet gold deposit in the Jiaodong gold province of China

J Deng, Q Wang, L Wan, H Liu, L Yang, J Zhang - Ore Geology Reviews, 2011 - Elsevier
The gold concentration distributions along drifts in the Dayingezhuang fault-controlled,
disseminated-veinlet gold deposit in the Jiaodong gold province, eastern China has been …

Multifractal detrended cross-correlation analysis for two nonstationary signals

WX Zhou - Physical Review E—Statistical, Nonlinear, and Soft …, 2008 - APS
We propose a method called multifractal detrended cross-correlation analysis to investigate
the multifractal behaviors in the power-law cross-correlations between two time series or …

Detrending moving average algorithm for multifractals

GF Gu, WX Zhou - Physical Review E—Statistical, Nonlinear, and Soft …, 2010 - APS
The detrending moving average (DMA) algorithm is a widely used technique to quantify the
long-term correlations of nonstationary time series and the long-range correlations of fractal …

A multifractal approach for stock market inefficiency

L Zunino, BM Tabak, A Figliola, DG Pérez… - Physica A: Statistical …, 2008 - Elsevier
In this paper, the multifractality degree in a collection of developed and emerging stock
market indices is evaluated. Empirical results suggest that the multifractality degree can be …

Detrended fluctuation analysis for fractals and multifractals in higher dimensions

GF Gu, WX Zhou - Physical Review E—Statistical, Nonlinear, and Soft …, 2006 - APS
One-dimensional detrended fluctuation analysis (DFA) and multifractal detrended fluctuation
analysis (MFDFA) are widely used in the scaling analysis of fractal and multifractal time …

Wavelet leaders and bootstrap for multifractal analysis of images

H Wendt, SG Roux, S Jaffard, P Abry - Signal Processing, 2009 - Elsevier
Multifractal analysis is considered a promising tool for image processing, notably for texture
characterization. However, practical operational estimation procedures based on a …

Multi-scale coding of genomic information: From DNA sequence to genome structure and function

A Arneodo, C Vaillant, B Audit, F Argoul… - Physics Reports, 2011 - Elsevier
Understanding how chromatin is spatially and dynamically organized in the nucleus of
eukaryotic cells and how this affects genome functions is one of the main challenges of cell …

Wavelet based multifractal formalism: applications to DNA sequences, satellite images of the cloud structure, and stock market data

A Bunde, J Kropp, HJ Schellnhuber, A Arneodo… - The science of disasters …, 2002 - Springer
We elaborate on a unified thermodynamic description of multifractal distributions including
measures and functions. This new approach relies on the computation of partition functions …

Wavelet-based multifractal formalism to assist in diagnosis in digitized mammograms

P Kestener, JM Lina, P Saint-Jean… - Image analysis and …, 2001 - ias-iss.org
We apply the 2D wavelet transform (WTMM) method to perform a multifractal analysis of
digitized mammograms. We show that normal regions display monofractal scaling properties …