The fractal geometry, issued of a synthesis of works done in Mathematics and in Physics since more of one century, proposed in the 70’s new concepts to understand some complex phenomenon ([Man77]). The notions of fractional dimension and scale invariance have been recognized applicable quickly for the description of many natural objects, of the mountainous to the maritime facades while passing ...

The renormalization group theory (RGT) is used in this paper to develop an extension of the multi-scale approach (MS-GEC), previously developed by the authors, in order to enable the study of fractal structures at infinite iterations. In this work, we focused on active fractal structures with incorporated PIN diodes but the developed concept can be applied to a wide variety of fractals. The MS-...

Human face recognition is an important area in the field of biometrics. It has been an active area of research for several decades, but still remains a challenging problem because of the complexity of the human face. In this thesis we describe fully automatic solutions that can locate faces and then perform identification and verification. We present a solution for face localisation using eye l...

The hasty growth of wireless technologies has drawn new demands for integrated components including antennas and antenna on chip is a new mantra in the area of antenna research. Various techniques have been suggested by researchers for the miniaturization of microstrip patch antennas with multiband characteristics. Numerous antennas for multiband operation have been studied and designed for com...

We describe in this chapter a hybrid method for adaptive model-based control of nonlinear dynamic systems using Neural Networks, Fuzzy Logic, and Fractal Theory. The new neuro-fuzzy-fractal method combines Soft Computing (SC) techniques with the concept of the fractal dimension for the domain of Nonlinear Dynamic System Control. The new method for adaptive model-based control has been implement...

Low profile antenna in communication is a new methodology. Fractal geometry is a methodology through which size reduction is achieved. A Self-similar fractal antenna using multicantor technique is proposed and experimentally studied. Space-filling cantors and self-similarity properties of fractal geometry have been adopted in the proposed antenna to miniaturize the size of antenna. The antenna ...

This research paper on iteration free fractal image compression for color images using the techniques Vector Quantization, Genetic Algorithm and Simulated Annealing is proposed, for lossy compression, to improve the decoded image quality, compression ratio and reduction in coding time. Fractal coding consists of the representation of image blocks through the contractive transformation coefficie...