In classical concepts, theoretical models are built assuming that the dynamics of the complex system’s stuctural units occur on continuous and differentiable motion variables. In reality, the dynamics of the natural complex systems are much more complicated. These difficulties can be overcome in a complementary approach, using the fractal concept and the corresponding non-differentiable theoret...

Three aspects of texture are considered by the fractal geometry: Fractal Dimension (FD), Lacunarity and Succolarity. Fractal Dimension has been well studied; a great number of approaches have been presented to extract it from images. It can be computed from black-white to multi-band image. There are many approaches also, from the simple Box-Dimension to the most complex Hausdorff Dimension. The...

The human body involves the complex interaction between many feedback systems. This is certainly indicative that we are basically a nonlinear organism. Recent developments in the understanding of nonlinear systems suggest that fractal (power law) relationships may be the rule, not the exception. In this article it is shown that the performance of male and female superior athletes exhibits a fra...

Information overload is a critical problem in World Wide Web. Category map developed based on Kohonen’s selforganizing map (SOM) has been proven to be a promising browsing tool for the Web. The SOM algorithm automatically categorizes a large Internet information space into manageable sub-spaces. It compresses and transforms a complex information space into a two-dimensional graphical representa...

A novel diagnostic approach based on fractal analysis is presented to help distinguish between normal and pathological conditions. A FractalVision software program is utilized to obtain the fractal dimension, Df values for the normal and different pathological conditions. A comparision of the Df values obtained is made for the normal condition, and for the different pathological conditions. The...

In this article, I describe a renormalization group approach for complex networks, as applied by Rozenfeld et.al. in 1. A large number of naturally occuring networks are scale-free, i.e. display a powerlaw degree distribution 2. Moreover, many of these networks display both the small world property, and fractal characteristics. The RG approach demonstrates a transition between fractal and small...

Recent advancements in computer hardware and software technology have enabled industry to develop affordable automated biometrics-based authentication systems. Since human iris possesses very complex texture pattern, a novel approach based on fractal dimension for recognizing the iris of the human eye is presented in this paper. Fractal dimension values of iris blocks are computed by using five...

Purpose – Fractal geometry can be used to model natural objects which cannot be easily represented by the euclidean geometry. However, contemporary computer-aided design (CAD) and computer-aided manufacturing (CAM) systems cannot be used to model a fractal object efficiently. In a general layer manufacturing (LM) workflow, a model described by the euclidean geometry is required in order to gene...

We explore the performance of applying fractal coding on audio data. Some conventional fractal coding problems have been studied with audio data to provide an overview on this subject. A review of fractal coding is presented. We implement a fractal audio coding scheme to carry out the experiments. The performance of the scheme can be controlled by a number of different parameters, including map...

OBJECTIVES Fractal geometry is a tool used to characterize irregularly shaped and complex figures. It can be used not only to generate biological structures (e.g., the human renal artery tree), but also to derive parameters such as the fractal dimension in order to quantify the shapes of structures. As such, it allows user-independent evaluation and does not rely on the experience level of the ...