The first fully automated fractal image compression algorithm was published by Arnaud Jacquin in 1989. Given an image f , the encoder finds a contractive affine image transformation (fractal transform) T such that the fixed point of T is close to f . The decoding is by iteration of the fractal transform starting from an arbitrary image. Due to the contraction mapping principle, the sequence of ...

  Background & Objectives: Cancer is a serious problem for human being and is becoming a serious problem day-by-day .A prerequisite for any therapeutic modality is early diagnosis. Automated cancer diagnosis by automatic image feature extraction procedures can be used as a feature extraction in the field of fractal dimension. The aim of this survey was to introduce a quantitative and objective...

This paper presents the design of rectangular, fractal Microstrip patch antenna and their backscattering reduction. These antennas have been designed on εr = 4.3, h = 1.53 mm substrate with rectangular patch dimension 36.08 x 29.6 mm and its 2 iterative fractal patch. The experimental resonant frequency of 2 iterative fractal patch is observed 2.11 GHz in comparison to rectangular patch 2.42 GH...

Most of the known methods for estimating the fractal dimension of fractal sets are based on the evaluation of a single geometric characteristic, e.g. the volume of its parallel sets. We propose a method involving the evaluation of several geometric characteristics, namely all the intrinsic volumes (i.e. volume, surface area, Euler characteristic etc.) of the parallel sets of a fractal. Motivate...

Infinity is where things happen that don't. — S. Knight Ever since Benoit Mandelbrot published his book on fractals [1], we've become accustomed to seeing fantastic and beautiful fractal images such as the ones at the bottom of the pages of this article. A fractal is a mathematical object that exhibits self similarity — it looks the same at any scale. If you zoom in on an image of a fractal, yo...