p-exponent and p-leaders, Part I: Negative pointwise regularity
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 …
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
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 …
local regularity along time or space, which capture crucial features of their temporal/spatial …
[HTML][HTML] Wavelet-based discrimination of isolated singularities masquerading as multifractals in detrended fluctuation analyses
The robustness of two widespread multifractal analysis methods, one based on detrended
fluctuation analysis and one on wavelet leaders, is discussed in the context of time-series …
fluctuation analysis and one on wavelet leaders, is discussed in the context of time-series …
Characteristics of coal mining microseismic and blasting signals at Qianqiu coal mine
B Li, N Li, E Wang, X Li, Y Niu, X Zhang - Environmental Earth Sciences, 2017 - Springer
The signal waveforms caused by blasting events, which are similar to the microseismic (MS)
signal waveforms caused by mining activities, are very common during the MS monitoring at …
signal waveforms caused by mining activities, are very common during the MS monitoring at …
A review of univariate and multivariate multifractal analysis illustrated by the analysis of marathon runners physiological data
We review the central results concerning wavelet methods in multifractal analysis, which
consists in analysis of the pointwise singularities of a signal, and we describe its recent …
consists in analysis of the pointwise singularities of a signal, and we describe its recent …
Bayesian estimation of the multifractality parameter for image texture using a Whittle approximation
S Combrexelle, H Wendt, N Dobigeon… - … on Image Processing, 2015 - ieeexplore.ieee.org
Texture characterization is a central element in many image processing applications.
Multifractal analysis is a useful signal and image processing tool, yet, the accurate …
Multifractal analysis is a useful signal and image processing tool, yet, the accurate …
A generalized multifractal formalism for the estimation of nonconcave multifractal spectra
Multifractal analysis has become a powerful signal processing tool that characterizes signals
or images via the fluctuations of their pointwise regularity, quantified theoretically by the so …
or images via the fluctuations of their pointwise regularity, quantified theoretically by the so …
Large deviation spectra based on wavelet leaders
We introduce a quantity that encapsulates the information given by the distribution at each
scale of the wavelet leaders of a function, and which is independent of the chosen wavelet …
scale of the wavelet leaders of a function, and which is independent of the chosen wavelet …
Generalized Legendre transform multifractal formalism for nonconcave spectrum estimation
Despite widespread adoption of multifractal analysis as a signal processing tool, most
practical multifractal formalisms suffer from a major drawback: since they are based on …
practical multifractal formalisms suffer from a major drawback: since they are based on …
Ultrasonic characterization and multiscale analysis for the evaluation of dental implant stability: A sensitivity study
With the aim of surgical success, the evaluation of dental implant long-term stability is an
important task for dentists. About that, the complexity of the newly formed bone and the …
important task for dentists. About that, the complexity of the newly formed bone and the …