This paper presents a multi-fractal based approach for the classification of emphysema patterns by calculating the local singularity coefficients of an image using different intensity measures. One of the primary statistical measures of self-similarity used in the processing of tissue images is holder exponent (αvalue) that represents the power law which the intensity distribution satisfies in ...

For improving the detection of micro-calcifications (MCs), this paper proposes an automatic detection of MC system making use of multi-fractal spectrum in digitized mammograms. The approach of automatic detection system is based on the principle that normal tissues possess certain fractal properties which change along with the presence of MCs. In this system, multi-fractal spectrum is applied t...

Intermittency (externally induced) in the two-dimensional (2D) enstrophy cascade is shown to be able to maintain a finite enstrophy along with a vorticity conservation anomaly. Intermittency mechanisms of three-dimensional (3D) energy cascade and 2D enstrophy cascade in fully-developed turbulence (FDT) seem to have some universal features. The parabolic-profile approximation (PPA) for the singu...

The most significant aspect of a geochemical exploration program is to define and separate the anomalous values from the background. In the past decades, geochemical anomalies have been identified by means of various methods. Most of the conventional statistical methods aiming at defining the geochemical concentration thresholds for separating anomalies from the background have limited the effi...

The Lévy stability analysis is carried out for ee collisions at Z mass using Monte Carlo method. The Lévy index μ is found to be μ = 1.701± 0.043. The self-similar generalized dimensions D(q) and multi-fractal spectrum f(α) are presented. The Rényi dimension D(q) decreases with increasing q. The self-similar multi-fractal spectrum is a convex curve with a maximum at q = 0, α = 1.169 ± 0.011. Th...

Large-range dependence (LRD) is essential phenomena both in LAN and WAN data traffic. Modeling such traffic traces is significant to understand the nature of the original traffic and to synthesize simulation traffic traces. Existing work such as multi-fractal wavelet model (MWM) was proposed to model IP traces and has reached much exactness. However, the nature of IP traffic exploits burst that...

The purpose of mineral exploration is to find ore deposits. The main aim of this work is to use the fuzzy inference system to integrate the exploration layers including the geological, remote sensing, geochemical, and magnetic data. The studied area was the porphyry copper deposit of the Kahang area in the preliminary stage of exploration. Overlaying of rock units and tectonic layers were used ...

Detection of deep and hidden mineralization using the surface geochemical data is a challenging subject in the mineral exploration. In this work, a novel scenario based on the spectrum–area fractal analysis (SAFA) and the principal component analysis (PCA) has been applied to distinguish and delineate the blind and deep Mo anomaly in the Dalli Cu–Au porphyry mineralization area. The Dalli miner...

The parabolic-profile model for the singularity spectrum f(α) of fully-developed turbulence (FDT) is pursued further. This model is shown to provide not only considerable insight into the qualitative aspects of the intermittency problem but also the universal aspects associated with it. The parabolic-profile model also affords, unlike the multi-fractal model, an analytical calculation of probab...