Corresponding Author: Thamizhchelvy, K. Faculty of Computing, Sathyabama University, Chennai, India Email: [email protected] Abstract: An Efficient Image Generation Algorithm is proposed. It generates Message Authentication Image (MAI) by using Fractals and chaos theory. The fractal images are generated by using Iterated Function System (IFS) techniques. We implemented and generated the f...

One important contribution has been made by Benoit Mandelbrot, the famous father of fractals who proposed a multi-fractal model of asset returns (MMAR), a theory which inherits all the hallmarks of Mandelbrot’s earlier work that has emerged since the 1970s. As a new formalization of stochastic models for the volatility dynamics of asset prices, it preserves the hierarchical multiplicative struc...

Because of the specialty of the undersea channel and the complexity of imaging environment, serious impact on image segmentation and target identification is caused by several uncertain factors in undersea image. This paper proposes a fuzzy pattern recognition approach for undersea image based on fractal features, and realizes reliable target classification in undersea image. Experiments prove ...

We develop a multi-length scale (multi-fractal) theory for the effect of rock heterogeneity on the growth of the mixing layer of the flow of a passive tracer through porous media. The multi-fractal exponent of the size of the mixing layer is determined analytically from the statistical properties of a random velocity (permeability) field. The anomalous diffusion of the mixing layer can occur bo...

We introduce a class of Parity-Time symmetric elastodynamic metamaterials (Ed-MetaMater) whose Hermitian counterpart exhibits frequency spectrum with unfolding (fractal) symmetries. Our study reveals scale-free formation exceptional points (EP) density is dictated by the fractal dimension their spectra. Demonstrated in quasi-periodic Aubry-Harper, geometric H-tree-fractal, and an aperiodic Fibo...

The idea of buildings in harmony with nature can be traced back to ancient times. The increasing concerns on sustainability oriented buildings have added new challenges in building architectureral design and called for new design responses. Sustainable design integrates and balances the human geometries and the natural ones. As the language of nature, it is, therefore, natural to assume that fr...

In this paper we work with nonparametric methods in modeling and analyzing the financial times series. We use the concept of fractal dimension for measuring the complexity of time series of observed financial data. The aim of this paper is to distinguish between the randomness and determinism of the financial information. We will compare the fractal analysis of the selected forward exchange rat...

We report on the numerical measures on different spin interfaces and Fortuin-Kasteleyn (FK) cluster boundaries in the Askhin-Teller (AT) model. For a general point on the AT critical line, we find that the fractal dimension of a generic spin cluster interface can take one of four different possible values. In particular we found spin interfaces whose fractal dimension is d(f)=3/2 all along the ...

We study fluctuational transitions in discrete and continuous dynamical systems that have two coexisting attractors in phase space, separated by a fractal basin boundary which may be either locally disconnected or locally connected. Theoretical and numerical evidence is given to show that, in each case, the transition occurs via a unique accessible point on the boundary, both in discrete system...

INVESTIGATION OF THE FRACTURE PHENOMENA DURING THE MILLING PROCESS OF INORGANIC PARTICULATES AND BRITTLE FRACTURE OF POLYMER COMPOSITES USING FRACTAL THEORY