A Fractal model equipped with detail concept like that used in wavelet transforms is introduced and used to perform global and local deformations to objects. This fractal model based on Projected IFS attractors allows the definition of free form fractal shapes controlled by a set of points. The details concept taken from wavelet theory represents the geometric texture of the object. An approxim...

In this paper, we present a graph-theoretic interpretation of convergence of fractal encoding based on partial iterated function system (PIFS). First we have considered a special circumstance, where no spatial contraction has been allowed in the encoding process. The concept leads to the development of a linear time fast decoding algorithm from the compressed image. This concept is extended for...

Fractal encoding is the first step in fractal based image compression techniques, but this technique can also be useful outside the image compression field. This paper discusses a fractal encoding technique and some of its variations adapted to the concept of segmenting anomalous regions within an image. The primary goal of this paper is to provide background information on fractal encoding and...

The paper presents design of three different fractal antennas in Low Temperature Co-fired Ceramic (LTCC) substrate. An aperture coupled feeding technique has been used in all the three designs which is highly suitable for multi-layer system on package (SoP) concept. The three fractal designs demonstrated are Sierpinski carpet fractal antenna, Sierpinski gasket fractal antenna and Koch snowflake...

Asynchronous nonlinear fractal operators were considered in order to implement fractal applications by massive parallel asynchronous computing system as recurrent neural networks. Assuming the convergence of the synchronous fractal operator to an element ~ f which is an approximation of the original image f , it is proved that any asynchronous deterministic realization of local fractal operator...

Antennas based on fractal structures present some particular properties as selfsimilarity and miniaturization that overcome some of the main limitations of classical antennas. Defining and meshing the fractal geometry are the two first stages in the numerical analysis of their electromagnetic behavior. Fractal structures are highly convoluted with very small details, nevertheless, some of these...

Using top-end high fidelity computer simulations we demonstrate the existence of a mechanism present in turbulent flows generated by multiscale or fractal objects and which has its origin in the multiscale or fractal space-scale structure of such turbulent flow generators. As a result of this space-scale unfolding mechanism, fractal grids can enhance scalar transfer and turbulent diffusion by o...

The real world objects are too irregular to be modeled with the help of traditional interpolation methods. M. F. Barnsley in 1986 proposed the concept of fractal interpolation function (FIF) using iterated function systems (IFS) to describe such real world data. In many cases these data sets represent a curve rather than a function i.e. the data points are not linearly ordered with their abscis...