A new method for fractal image compression is proposed using genetic algorithm (GA) with an elitist model. The self transformation property of images is assumed and exploited in the fractal image compression technique. The technique described utilizes the GA, which greatly decreases the search space for finding the self similarities in the given image. This article presents theory, implementati...

This study examines the use of the geographic information systems (GIS) in structural geomorphology to build the model of the crust based on fractal analysis of relief. Fractal theory, developed by B. Mandelbrot, used to determination morpho-bloc divisibility of the Earth’s surface. There is the traceable statistically recurring relief structure indicate the appropriate tiered hierarchy of crus...

Based on collective learning systems theory, a Transputer-based parallel processing imageprocessing engine, known as ALIAS (Adaptive Learning Image Analysis System) has been applied to a difficult image processing problem: the detection of anomalies in otherwise normal images. This system was designed and developed at the Research Institute for Applied Knowledge Processing (FAW) in Ulm, Germany...

Physiological systems such as the cardiovascular system are capable of five kinds of behavior: equilibrium, periodicity, quasi-periodicity, deterministic chaos and random behavior. Systems adopt one or more these behaviors depending on the function they have evolved to perform. The emerging mathematical concepts of fractal mathematics and chaos theory are extending our ability to study physiolo...

The lattice fractal Sierpinski carpet and the percolation theory are applied to develop a new random stock price for the financial market. Percolation theory is usually used to describe the behavior of connected clusters in a random graph, and Sierpinski carpet is an infinitely ramified fractal. In this paper, we consider percolation on the Sierpinski carpet lattice, and the corresponding finan...

We study geometrical properties of interfaces in the random-temperature q-states Potts model as an example of a conformal field theory weakly perturbed by quenched disorder. Using conformal perturbation theory in q-2 we compute the fractal dimension of Fortuin-Kasteleyn (FK) domain walls. We also compute it numerically both via the Wolff cluster algorithm for q=3 and via transfer-matrix evaluat...

A number of recent research works tried to apply fractal methods to psychological or behavioral variables. Quite often, nevertheless, the use of fractal analyses remains rudimentary, and the goal of researchers seems limited to evidencing the presence of longrange correlation in data sets. This article presents some recent developments in monofractals theory, and some related methodological ref...

Recent numerical results on the fractal structure of two-dimensional quantum gravity coupled to c = −2 matter are reviewed. Analytic derivation of the fractal dimensions based on the Liouville theory and diffusion equation is also discussed. Excellent agreements between the numerical and theoretical results are obtained. Some problems on the non-universal nature of the fractal structure in the ...

The theory that ties normal functioning and pathology of the brain and visual system with the spatial-temporal structure of the visual and other sensory stimuli is described for the first time in the present study. The deficit of fractal complexity of environmental influences can lead to the distortion of fractal complexity in the visual pathways of the brain and abnormalities of development or...

For fractal-like agglomerates with volume fractal dimensions Df ≤ 2 multiple scattering of incident light may be neglected to a good approximation. Therefore the Rayleigh-Debye-Gans (RDG) theory provides a reliable yet convenient route towards computing the differential and total scattering cross sections of fractal particles (Sorensen, 2001). So far, however, besides assuming spherical isotrop...