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 fractal antennas that have the multiband operation due to the self-similar property in fractal geometry, which plays a key role to create a fractal circular monopole patch antenna. The other important property that is, Space-filling property which actually determines the reduction in the size of the antenna. This property adds more electrical length in less volume which reduces the size of ...

The comparative study of Geosystems fractal behavior requires harmonizing statistics and integral information management. A core set of fractal parameters extracted from multiscale images and time series, as well as by signal processing, is uncertain, scale and measurement algorithm dependent, dynamic and variable in space. The aim of our research is to standardize the polifacetic information c...

In these two companion papers, we provide an overview and a brief history of the multiple roots, current developments and recent advances of integrative systems biology and identify multiscale integration as its grand challenge. Then we introduce the fundamental principles and the successive steps that have been followed in the construction of the scale relativity theory, which aims at describi...

Keywords: Fractal structure Fractal dimension Box-counting dimension Domain of words Language Regular expression Binary-coded decimal Search tree a b s t r a c t A fractal structure is a tool that is used to study the fractal behavior of a space. In this paper, we show how to apply a new concept of fractal dimension for fractal structures, extending the use of the box-counting dimension to new ...

This paper studies the Klein-Gordon equation and two modifications in an infinite Cantor set a fractal space-time. Their variational formulations are established discussed, spatio-temporal discontinuity requires both spatio-fractal derivative temporal for practical applications. Some basic properties of local fractional two-scale elucidated, derivation Euler-Lagrange is illustrated.

Fractal, which means broken or irregular fragments, was originally coined by Dr B. Mandelbrot in the year the 1970. Fractals describe a family of complex shapes that possess an inherent self-similarity in their geometrical structure usually in nature, since the pioneering work of Mandelbrot and others, a wide variety of applications for fractals has been found in many branches of science and en...

In this paper, the transformation function used in fractal image compression is chosen in such a way that its unique fix point is a close approximation of the input image. Compression occurs because storing the details of the image transform also known as encoding takes up much less space than the original image. Decompression or decoding involves applying the transform repeatedly to an arbitra...

Using the VLA, we have performed the first observational test of dark matter in the form of cold, primordial fractal clouds, as envisioned by Pfenniger, Combes, & Martinet (1994) and Pfenniger & Combes (1994). We show that, after a Hubble Time, primordial fractal clouds will convert most of their HI to H2, but a small fraction of HI remains which is optically thick. This opens up a new window f...

In denoise method for nonlinear time series based on principle manifold learning, reduction targets are chosen at random, using linear method of singular value decomposition solving local tangent space coordinate, these caused efficiency and effect of denoise lower. To solve this problem, a new denoise method based on based on the fractal dimension, higher order statistics and local tangent spa...