Fractal antennas have undergone dramatic changes since they were first considered for wireless systems. Numerous advancements are developed both in the area of fractal shaped elements and fractal antenna array technology for fractal electrodynamics. This paper makes an attempt of applying the concept of fractal antenna array technology in the RF regime to optical antenna array technology in the...

We investigate the influence of fractal structure on material properties. We calculate the statistical correlation functions of fractal media defined by level-cut Gaussian random fields. This allows the modeling of both surface fractal and mass fractal materials. Variational bounds on the conductivity, diffusivity and elastic moduli of the materials are evaluated. We find that a fractally rough...

A fractal coder partitions an image into blocks that are coded via self-references to other parts of the image itself. In this paper we present a fractal coder that derives highly image-adaptive partitions and corresponding fractal codes in a time-eecient manner using a region-merging approach. The proposed merging strategy leads to improved rate-distortion performance compared to previously re...

Fractals can be very useful when applied to tribology. Fractal descriptions of wear particles require surface texture information to be processed. The morphology of wear particles depends on its surface characteristics. These characteristics are represented by fractal dimension derived from the boundary profile. In this paper, Fractal dimension is used to describe wear particles obtained from e...

One advantage of fractal image compression schemes is their multiresolution properties. An image can be decoded at higher or lower resolutions than the original, and it is possible to 'zoom-in' on sections of the image. Even so the problem of fractal zooming has received very little attention. In this paper we examine these multi-resolution properties. We study the problem of fractal zooming in...

Why does fractal image compression work? What properties must an image have for fractal block coders to work well? What is the implicit image model underlying fractal image compression? The behavior of fractal block coders is clear for deterministically self-similar structures. In this paper we examine the behavior of these coders on statistically self-similar structures. Speci cally, we examin...

This work proposes a novel technique for the numerical calculus of the fractal dimension of fractal objects which can be represented as a closed contour. The proposed method maps the fractal contour onto a complex signal and calculates its fractal dimension using the Fourier transform. The Fourier power spectrum is obtained and an exponential relation is verified between the power and the frequ...

All the geophysical phenomena including river networks and flow time series are fractal events inherently and fractal patterns can be investigated through their behaviors. A non-linear system like a river basin can well be analyzed by a non-linear measure such as the fractal analysis. A bilateral study is held on the fractal properties of the river network and the river flow time series. A movi...

This study aims to recognize effect of Ordinary Kriging (OK) and Inverse Distance Weighted (IDW) estimation methods for separation of geochemical anomalies based on soil samples using Concentration-Area (C-A) fractal model in Irankuh area, central Iran. Variograms and anisotropic ellipsoid were generated for the Pb and Zn distribution. Thresholds values from the C-A log-log plots based on the e...

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 ...