We explore in this paper the dynamics of the complex function for non integer values, using the Ishikawa iterates. The z plane fractal images are studied for positive powers of the complex function while c plane fractals are analyzed for negative powers of the complex function.
We investigate in this paper the dynamics and the method of generating fractal images for Ishikawa iteration procedure. The geometry of relative superior Julia sets are explored for Ishikawa iteration.
Antipolynomial of a complex polynomial is generated by applying iteration on a function z<sup><i>d</i></sup><i>+c</i> for <i>d</i>>=2. This complex function has been intense area for researcher. If we use transcendental function like sine, cosine etc with antipolynomial, i.e. <i>sin z</i><sup><i>d</i></sup><i>+c</i>, it becomes a more elite area to… (More)
We introduce in this paper the dynamics of Relative Superior Mandel-bar sets of inverse complex function for Ishikawa iteration. The z plane fractal images generated from the generalized transformation function 1 () n z z c for 2 n are analyzed.
The Multibrots for Multicorns is a modification of the classic Mandelbrot and Julia sets and it is given by the complex function where and is a constant. The Multibrot fractal type is particularly interesting, with beautiful shapes and lots of spirals. In this paper we have presented different characteristics of Multibrot function for Multicorns using… (More)
The term fractal was coined in 1975 by Benoit Mandelbrot, from the Latin fractus, meaning "broken" or "fractured". In colloquial usage, a fractal is a shape that is recursively constructed or self-similar, that is, a shape that appears similar at all scales of magnification and is therefore often referred to as "infinitely complex". Researchers used… (More)
Complex graphics of dynamical system have been a subject of intense research nowadays. The fractal geometry is the base of these beautiful graphical images. Many researchers and authors have worked to study the complex nature of the two most popular sets in fractal geometry, the Julia set and the Mandelbrot set, and proposed their work in various forms… (More)
Now a days most of the researchers are doing lots of work in the area of image compression. Fractal image compression requires lots of mathematical computation to compress an image. Fractal image compression is a recent technique based on the representation of an image by a contractive transform, on the space of images, for which the fixed point is close… (More)
This paper addresses the area of image compression as it is applicable to various fields of image processing. On the basis of evaluating and analyzing the current image compression techniques this paper presents the Adaptive byte compression and decompression technique an approach applied to fractal image compression. It also includes various benefits of… (More)