In this dissertation, the problem of the construction of Fractal Interpolation Surfaces and their application in image compression is studied. We give exact conditions, so that this construction is valid and we introduce some free parameters that make our model as flexible as possible. In addition, we compute the box-counting dimension of a Fractal Interpolation Surface. Finally, we give a new ...

Thin films of cobalt oxides (CoO and Co3O4) fractal structures have been synthesized by using laser chemical vapor deposition at room temperature and atmospheric pressure. Various factors which affect the density and crystallization of cobalt oxides fractal shapes have been examined. We show that the fractal structures can be described by diffusion-limited aggregation model and discuss a new po...

A multiband double square loop antenna with fractal concept is proposed. The design is based on an initial model of fractal geometry and a double square slot antenna structure. The initial model of fractal geometry influences to the second frequency band and it will be carefully investigated. The radiation patterns of the proposed antenna are still similarly to bidirectional radiation pattern. ...

Antenna Miniaturization Using Fractals Richa Garg, AP ECE Deptt., [email protected], J.C.D.C.O.E., Sirsa ABSTRACTThe use of fractal geometry in designing antenna has been a resent topic of interest. Fractal shape has their own unique characteristics that the improved antenna performance can be achieved without degrading the antenna properties. Modern telecommunication system requires antenn...

We use the fractional integrals to describe fractal media. We consider the fractal media as special (”fractional”) continuous media. We discuss the possible experimental testing of the continuous medium model for fractal media that is suggested in Phys. Lett. A. 336 (2005) 167-174. This test is connected with measure of period of the Maxwell pendulum with fractal medium cylinder. PACS: 03.40.-t...

The aim of this paper is to provide a survey on results and future perspectives of the project “Development an validation of a sea surface fractal model” approved by ESA in the framework of the “Opportunity of exploiting ENVISAT data”. The goal is to validate a sea surface fractal model, developed by the University of Pisa, trough the use of sea SAR images. New image fractal analysis techniques...

On the basis of similar structure of solution for a second-order linear differential equation’s boundary value problem, and our analysis of the relationship between this similar structure and its kernel function, the differential equation, and the boundary conditions, we propose a new simple solution—similar constructive method of solution (SCMS)—and sum up its detailed steps. We set up a porou...

It is pointed out that the entropies of structure, information and the effectiveness entropy between knowledge and organization structure are main entropy sources of supply chain network in this paper. Firstly, establish entropy model of fractal supply chain network organization structure. Secondly, fractal knowledge management network outside independently organization structure is set up. Mor...

Most natural surfaces and surfaces of engineering interest, e.g., polished or sandblasted surfaces, are self-affine fractal over a wide range of length scales, with the fractal dimension Df 1⁄4 2:15 0:15. We give several examples illustrating this and a simple argument, based on surface fragility, for why the fractal dimension usually is \2.3. A kinetic model of sandblasting is presented, which...

The capillary pressure model proposed empirically by Brooks and Corey has been used widely for several decades. However it is not clear why the Brooks-Corey capillary pressure model works so well. In this study, it has been found that the empirical Brooks-Corey capillary pressure model can be derived theoretically from fractal modeling of porous media. Also found was the correlation between the...