Although Fractal image compression has high quality at high compression ratio, it needs a lot of encoding time so that it has not been widely applied as other coding schemes in the field of image compression. In this paper, an algorithm is devised to improve this drawback. We utilize mean and variance to classify image blocks and combine the transformation reduction techniques to decrease the e...

This paper presents a frontal view face recognition method by using fractal codes which are determined by a fractal encoding method from the edge pattern of the face region which covers eyebrows, eyes and a nose. In recognition process, these fractal codes are fed ass inputs to a Backpropagation neural network for learning and identifying a person. The experiments were performed with one in-roo...

This paper presents a recurrent fractal interpolation method (approach) for one-dimensional sets of realdata. The method explores both the local collage idea, developed originally for image compression purposes, and the basic platform for generating of non-recurrent fractal interpolation functions – attractors of iterated function systems (IFS). The characteristic feature of the developed appro...

Detection of mineralized zones based on ores and gangues is important for mine planning and excavation operation. The major goal of this research work was to determine the zones based on ores and gangues by a combination of fractal and factor analysis in the Chah Gaz iron ore (Central Iran). The Concentration-Volume (C-V) fractal method was carried out for Fe, P and S, which indicated that the ...

Fractal dimensions have been frequently applied to generalize the complexity and drainage of particular stream networks. Certain techniques to calculate dimension have become particularly popular, specifically the Divider method, functional-box counting, and as a function between bifurcation and length ratios. The frequency and variability with which these techniques are applied creates discrep...

We study the properties of spectrum and eigenstates of the Google matrix of a directed network formed by the procedure calls in the Linux Kernel. Our results obtained for various versions of the Linux Kernel show that the spectrum is characterized by the fractal Weyl law established recently for systems of quantum chaotic scattering and the Perron-Frobenius operators of dynamical maps. The frac...

The purpose of this study is the discrimination of 28 postmenopausal with osteoporotic femoral fractures from an agematched control group of 28 women using texture analysis based on fractals. Two pre-processing approaches are applied on radiographic images; these techniques are compared to highlight the choice of the pre-processing method. Furthermore, the values of the fractal dimension are co...

A new method is proposed to establish the statistical fractal model for liver diseases classification. Firstly, the fractal theory is used to construct the high-order tensor, and then Generalized N-dimensional Principal Component Analysis (GND-PCA) is used to establish the statistical fractal model and select the feature from the region of liver; at the same time different features have differe...

The present work shows a novel fractal dimension method for shape analysis. The proposed technique extracts descriptors from a shape by applying a multi-scale approach to the calculus of the fractal dimension. The fractal dimension is estimated by applying the curvature scale-space technique to the original shape. By applying a multi-scale transform to the calculus, we obtain a set of descripto...

Fractal geometry provides a powerful tool for scale-free spatial analysis of cities, but the fractal dimension calculation results always depend on methods and scopes of study area. This phenomenon has been puzzling many researchers. This paper is devoted to discussing the problem of uncertainty of fractal dimension estimation and the potential solutions to it. Using regular fractals as archety...