An iterated function system that defines a fractal interpolation function, where ordinate scaling is replaced by nonlinear contraction, investigated here. In such manner, functions associated with Matkowski contractions for finite as well infinite (countable) sets of data are obtained. Furthermore, we construct an extension the concept ?-fractal functions, herein called R-fractal related to cou...

The term fractal is used in a variety of ways, formally and informally. It generally is understood that a fractal exhibits self similarity — that it appears the same at any scale. This concept can be applied to integer sequences with respect to the magnitude and position of terms, various patterns, and so forth. For example, Hofstadter’s chaotic sequence [1], which is produced by the nested rec...

Image compression methods using fractals has been widely because of its advantages of high compression ratio and the simplicity of decompression, which is particularly suited to the situation of one encoding and many decodings. Fractal theory studies self-similarity in objects. At the beginning of the 1980s, it was used to simulate natural scenes in computer graphics. The self-similarity used i...

In this paper, the optical properties of one dimensional fractal structures are investigated. We consider six typical fractal photonic structures: the symmetric dual cantor-like fractal structure, the asymmetric dual cantor-like fractal structure, the single cantor-like fractal structure, the symmetric dual golden-section fractal structure, the asymmetric dual golden-section fractal structure a...

Simple considerations about the fractal characteristic of the quantummechanical path give us the opportunity to derive the quantum black hole entropy in connection with the concept of fractal statistics. We show the geometrical origin of the numerical factor of four of the quantum black hole entropy expression and the statistics weight appears as a counting of the quanta of geometry. PACS numbe...

Generally the fractal image compression is a technique based on the presentation of an image by a contractive transform, on the space of image, for which the fixed point is close to the original image. The fractal image compression is rapidly growing principle covers a wide variety of coding scheme in various domains. A large number of theoretical aspects of this concept are available. However,...

The concept of atomic weights (relative atomic masses) of chemical elements and molecular weights (relative molecular masses) of chemical compounds is fundamental to chemistry and the problem to determine their values has captured attention of chemists for a long time. On the other hand, fractal ideas of Mandelbrot have been extended to studies of various forms in nature on a wide range of leng...

The origin of log-periodic oscillations around the power-law trend of the escape probability from a precritical attractor and of the noise-free stochastic multiresonance, found in numerical simulations in chaotic systems close to crises is discussed. It is shown that multiple maxima of the spectral power amplification vs. the control parameter result from a fractal structure of a precritical at...

In this paper a hybrid technique of Genetic Algorithm and Simulated Annealing (HGASA) is applied for Fractal Image Compression (FIC). With the help of this hybrid evolutionary algorithm effort is made to reduce the search complexity of matching between range block and domain block. The concept of Simulated Annealing (SA) is incorporated into Genetic Algorithm (GA) in order to avoid pre-mature c...