Characterization of a digitized image is often required in nondestructive evaluation. Apart from the existing image processing techniques, a recent method to analyze and quantify complex images has been developed based on the fractal theory. As reported, it is possible to get salient information from any digitized image by evaluating the fractal dimension, the defining characteristic of a fract...

We report the degree of order of twenty two Jackson Pollock's paintings using Hausdorff-Besicovitch fractal dimension. Through the maximum value of each multi-fractal spectrum, the fractality of the artworks is presented as a function of the year in which they were painted. It has been reported that Pollock's paintings are fractal and it increased on his latest works. However our results show t...

A method from the ®eld of chaotic dynamics is applied for the estimation of fractal dimension of images. The method is compared with other well-known algorithms on a set of computer generated images of known fractal dimension. The results con®rm the superiority of the method in terms of accuracy, dynamic range and computational time. Ó 1999 Published by Elsevier Science B.V. All rights reserved.

Matching pursuit is a general and exible method for solving an optimization problem that is of interest in signal analysis, coding, control theory and statistics. In this paper, principles of rate-distortion optimal coding are used in combination with matching pursuit algorithm to obtain an enhanced fractal image coding method. The advantages of using such a method over traditional fractal imag...

In this paper, a fractal based feature extraction method is presented. This method calculates the fractals of color texture by utilizing the correlations among the color bands. Vector median operators are introduced to process the fractal features iteratively in order to obtain a representative color set. After segmentation a median filter is used to smooth the image. Experiments have been carr...

GIS is considered an important technique as well as a prerequisite for cost effective mineral exploration and determination of high potential areas. The purpose of this research is to determine high potential iron zones for detailed exploration using index overlay GIS method. Index Overlay was used to combine the geology, topography (scale: 1:1,000), lineaments, remote sensing (ASTER and ETM+) ...

This paper proposes two local multifractal measures motivated by blanket method for calculation of fractal dimension. They cover both fractal approaches familiar in image processing. The first two measures (proposed Methods 1 and 3) support model of image with embedded dimension three, while the other supports model of image embedded in space of dimension three (proposed Method 2). While the cl...

| It has been demonstrated that higher order recurrent neu-ral networks exhibit an underlying fractal attractor as an artifact of their dynamics. These fractal attractors ooer a very eecent mechanism to encode visual memories in a neu-ral substrate, since even a simple twelve weight network can encode a very large set of diierent images. The main problem in this memory model, which so far has r...

In this work, SiO2 –ZrO2 mixed oxides was prepared by the polymeric sol–gel route. The characterization of pore structure, which determines the permeation process of membrane, is of great importance. So far, most investigations have focused on such pore structure as specific surface area and pore size distribution, but the surface fractal, the important parameter reflecting the roughness of por...

A novel texture detecting analysis for medical pathological tissue images was developed by fractal Brown model. According to fractal Brown random field model, a discrete fractal random field for image texture detection on a definite scale could be derived from the Brown model. Using fractal dimensions in partial region of the image and gray difference between adjacent pixels and relevant Hurst ...