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Multifractal analysis is a powerful tool used in signal processing. Multifractal models are essentially characterized by two parameters, the multifractality parameter c2 and the integral scale A (the time scale beyond which multifractal properties vanish). Yet, most applications concentrate on estimating c2 while the estimation of A is in general overlooked, despite the fact that A potentially conveys...
Traditional anti-spam technologies can't block image-based spam because spammers employ a variety of image creation and randomization algorithms to make the message fully legible by the human eye but undistinguishable by the most anti-spam engines. In this paper we propose a novel composite method to filter image-based spam accurately and effectively, which can be easily implemented as a plug-in in...
It has been know for at least one decade that functional MRI time series display long-memory properties, such as power-law scaling in the frequency spectrum. Concomitantly, multivariate model-free analysis of spatial patterns, such as spatial Independent Component Analysis (sICA), has been successfully used to segment from spontaneous activity Resting-State Networks (RSN) that correspond to known...
This paper deals with multifractal characterization of skin cancer in ultrasound images. The proposed method establishes a multifractal analysis framework of such images based on a new multiresolution indicator, called the maximum wavelet coefficient, derived from the wavelet leaders. Two main contributions are brought up: first, it proposes a method for the estimation of multifractal features. Second,...
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 and frequency domains. Beyond the traditional wavelet transform, a multi-oriented wavelet leader pyramid is used in our approach that robustly encodes the multi-scale information of texture edgels. Moreover, the resulting texture...
Intrapartum fetal surveillance aims at preventing neonatal morbidity and mortality due to asphyxia. Continuous fetal heart rate monitoring helps in reducing asphyxia yet generates many unnecessary c-sections. In fetal heart rate time series analysis, variability is a key parameter as its decrease is used to identify asphyxia. Multifractal analysis can be envisaged as a new statistical tool enabling...
Multifractal analysis, which mostly consists of measuring scaling exponents, is becoming a standard technique available in most empirical data analysis toolboxes. Making use of the most recent theoretical results, it is based here on the estimation of the cumulants of the log of the wavelet leaders, an elaboration on the wavelet coefficients. These log-cumulants theoretically enable discrimination...
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