This paper study the application of wavelet transform and fractal theory in image coding. The image coding based on wavelet transform has been studied firstly, Then, the paper make a research of fractal theory counterpart. After that, this paper research the hybrid compression coding based on wavelet transform and fractal theory, also make simulation experiment of three image coding ways mentio...

We investigate the geodesic motion in D−dimensional Majumdar-Papapetrou multi-black hole spacetimes and find that the qualitative features of the D = 4 case are shared by the higher dimensional configurations. The motion of timelike and null particles is chaotic, the phase space being divided into basins of attraction which are separated by a fractal boundary, with a fractal dimension dB . The ...

We have discovered a new fractal pattern, coffee exhibits on a horizontal surface, with a fractal dimension 06 . 0 88 . 1 ± , when a heavy coffee droplet interacts with the surface of lighter milk. Parts of coffee pattern on the surface disappear due to Rayleigh–Taylor instability, and the annihilative behavior produces the fractal pattern. Coffee fractals and the Sierpinski carpet have common ...

Fractal structures in nature offer a unique "fractal contact mode" that guarantees the efficient working of an organism with an optimized style. Fractal nanostructured biointerfaces have shown great potential for the ultrasensitive detection of disease-relevant biomarkers from small biomolecules on the nanoscale to cancer cells on the microscale. This review will present the advantages of fract...

We explore the fractal nature of particle showers using Monte Carlo simulation. We define the fractal dimension of showers measured in a high granularity calorimeter designed for a future lepton collider. The shower fractal dimension reveals detailed information of the spatial configuration of the shower. It is found to be characteristic of the type of interaction and highly sensitive to the na...

Strange attractors are stable sets of vector field flows that have a fractal geometric structure in one dimension, and smooth surface behaviour in the other two. Previous visualization methods show the flow dynamics well, but not the fractal structure. Here we approximate the attractor by polygonal surfaces, which reveal the fractal geometry. We start with a polygonal approximation which neglec...

In this paper, a fractal based approach is proposed to detect endpoints in whispered speech. The underlying principle is based on the fact that whispered speech is sufficiently chaotic and thus can be analyzed using fractal theory. Due to the different scope of fractal dimensions of silence, noise and speech segment, speech/non-speech segment could be determined from that with a simple decision...

Fractals are geometric or data structures which do not simplify under magnification. Fractal Image Compression is a technique which associates a fractal to an image. On the one hand, the fractal can be described in terms of a few succinct rules, while on the other, the fractal contains much or all of the image information. Since the rules are described with less bits of data than the image, com...

A novel miniature antenna based on the fractal Hilbert geometry is presented. The antenna becomes electrically smaller as the fractal iteration increases at a higher rate than that of any other fractal geometry presented until now. Several fractal-shaped Hilbert monopoles have been constructed, measured, and compared with the classical /4 monopole. © 2003 Wiley Periodicals, Inc. Microwave Opt T...

A paradigmatic nonhyperbolic dynamical system exhibiting deterministic diffusion is the smooth nonlinear climbing sine map. We find that this map generates fractal hierarchies of normal and anomalous diffusive regions as functions of the control parameter. The measure of these self-similar sets is positive, parameter dependent, and in case of normal diffusion it shows a fractal diffusion coeffi...