Fractal and multifractal analysis: a review

R Lopes, N Betrouni - Medical image analysis, 2009 - Elsevier
Over the last years, fractal and multifractal geometries were applied extensively in many
medical signal (1D, 2D or 3D) analysis applications like pattern recognition, texture analysis …

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 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 …

A new texture descriptor using multifractal analysis in multi-orientation wavelet pyramid

Y Xu, X Yang, H Ling, H Ji - 2010 IEEE Computer society …, 2010 - ieeexplore.ieee.org
Based on multifractal analysis in wavelet pyramids of texture images, a new texture
descriptor is proposed in this paper that implicitly combines information from both spatial …

Wavelet domain multifractal analysis for static and dynamic texture classification

H Ji, X Yang, H Ling, Y Xu - IEEE Transactions on Image …, 2012 - ieeexplore.ieee.org
In this paper, we propose a new texture descriptor for both static and dynamic textures. The
new descriptor is built on the wavelet-based spatial-frequency analysis of two …

Wavelet-based multifractal analysis of dynamic infrared thermograms to assist in early breast cancer diagnosis

E Gerasimova, B Audit, SG Roux, A Khalil… - Frontiers in …, 2014 - frontiersin.org
Breast cancer is the most common type of cancer among women and despite recent
advances in the medical field, there are still some inherent limitations in the currently used …

Suspicious-region segmentation from breast thermogram using DLPE-based level set method

S Pramanik, D Banik, D Bhattacharjee… - IEEE transactions on …, 2018 - ieeexplore.ieee.org
Segmentation of suspicious regions (SRs) of a thermal breast image (TBI) is a very
significant and challenging problem for the identification of breast cancer. Therefore, in this …

Chromosome territories have a highly nonspherical morphology and nonrandom positioning

A Khalil, JL Grant, LB Caddle, E Atzema, KD Mills… - Chromosome …, 2007 - Springer
Interphase chromosomes are organized into discrete chromosome territories (CTs) that may
occupy preferred sub-nuclear positions. While chromosome size and gene density appear to …

p-exponent and p-leaders, Part I: Negative pointwise regularity

S Jaffard, C Melot, R Leonarduzzi, H Wendt… - Physica A: Statistical …, 2016 - Elsevier
Multifractal analysis aims to characterize signals, functions, images or fields, via the
fluctuations of their local regularity along time or space, hence capturing crucial features of …

p-exponent and p-leaders, Part II: Multifractal analysis. Relations to detrended fluctuation analysis

R Leonarduzzi, H Wendt, P Abry, S Jaffard… - Physica A: Statistical …, 2016 - Elsevier
Multifractal analysis studies signals, functions, images or fields via the fluctuations of their
local regularity along time or space, which capture crucial features of their temporal/spatial …