A low bit rate video coding technique that uses spatio-temporal geometric transforms is presented. Motion compensation based on the bilinear transform is employed to reduce the temporal redundancy of the video. The spatial redundancy of the motion compensated error images is reduced by a combination of Fractal and DCT. It is shown that in the objects boundaries of the motion compensated error i...

The spatial patterns and processes of cities can be described with various entropy functions. However, spatial entropy always depends on the scale of measurement, and it is difficult to find a characteristic value for it. In contrast, fractal parameters can be employed to characterize scale-free phenomena and reflect the local features of random multi-scaling structure. This paper is devoted to...

Animation model of objects in fractal form has many advantages over animation model of objects in traditional form. Traditionally simple object is drawn by drawing functions and the slight different form of object should be redrawn by different function, so every manipulation effort to change or to animate the form of object should call the different function. Naturally fractal object is drawn ...

J. M. Halley*, S. Hartley, A. S. Kallimanis, W. E. Kunin, J. J. Lennon and S. P. Sgardelis Department of Ecology, Aristotle University of Thessaloniki, U.P.B. 119, 54124, Greece School of Biological Sciences, Victoria University of Wellington, P.O.B. 600, Wellington, New Zealand School of Biology, University of Leeds, LS2 9JT, Leeds, UK The Macaulay Institute, Craigiebuckler, Aberdeen AB15 8QH,...

Long-range dependence-Scaling phenomena-(Multi)fractal-Wavelet analysis Scaling analysis-Scaling parameters estimation-Robustness-Fractional Brownian motion synthesis-Fano factor-Aggregation procedure-Allan variance.

A low bit rate video coding technique that uses spatio-temporal geometric transforms is presented. Motion compensation based on the bilinear transform is employed to reduce the temporal redundancy of the video. The spatial redundancy of the motion compensated error images is reduced by a combination of Fractal and DCT. It is shown that in the objects boundaries of the motion compensated error i...

This paper presents the use of PN junction diode on fractal monopole antenna with microstrip line for rreconfigurable multiband antennas. The developed multiband antennas focus on the applications for Wi-Fi, cordless telephone and satellite & radar. A fractal reconfigurable antenna was designed using the known fractal geometry such as Sierpinski gasket is fed by strip line using coaxial feed. A...

The Riemann’s hypothesis (RH) states that the nontrivial zeros of the Riemann zeta-function are of the form s = 1/2+iλn. Hilbert-Polya argued that if a Hermitian operator exists whose eigenvalues are the imaginary parts of the zeta zeros, λn’s, then the RH is true. In this paper a fractal supersymmetric quantum mechanical (SUSY-QM) model is proposed to prove the RH. It is based on a quantum inv...

Fractal antennas have been shown to demonstrate repetitive multi-band or logperiodic behavior that has been attributed to the self-similar scale factor of the antenna’s geometry. This geometry, which has been used to model complex objects found in nature such as clouds and coastlines, has space filling properties that can be utilized to miniaturize antennas. These unique properties of fractals ...