Research Article
On Generating Julia Set Fractal Shaped Images through Mobius Transformations
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
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| Volume 146 - Issue 2 |
| Published: Jul 2016 |
| Authors: T. Gangopadhyay |
10.5120/ijca2016910653
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T. Gangopadhyay . On Generating Julia Set Fractal Shaped Images through Mobius Transformations. International Journal of Computer Applications. 146, 2 (Jul 2016), 11-15. DOI=10.5120/ijca2016910653
@article{ 10.5120/ijca2016910653,
author = { T. Gangopadhyay },
title = { On Generating Julia Set Fractal Shaped Images through Mobius Transformations },
journal = { International Journal of Computer Applications },
year = { 2016 },
volume = { 146 },
number = { 2 },
pages = { 11-15 },
doi = { 10.5120/ijca2016910653 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2016
%A T. Gangopadhyay
%T On Generating Julia Set Fractal Shaped Images through Mobius Transformations%T
%J International Journal of Computer Applications
%V 146
%N 2
%P 11-15
%R 10.5120/ijca2016910653
%I Foundation of Computer Science (FCS), NY, USA
Abstract
Iterating two pairs of Mobius transformations as attractors generates fractals that are known as Mobius fractals. In the present paper one studies pairs of specific Mobius transformations that generate shapes very similar to Julia set fractals.
References
- Bourke, P.: An Introduction to fractals ,http://paulbourke.net/fractals/fracintro/
- Gangopadhyay, T. The effect of multiple rotations on Mobius transformations in generating IFS Fractalss, International journal of Computer Applications 142(6):18-22, May 2016
- Julia, G. Mémoire sur l'itération des fonctions rationnelles, Journal de Mathématiques Pures et Appliquées, 1918
- Krantz, S. G. "Möbius Transformations." §6.2.2 in Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 81, 1999..
- Needham, T. "Möbius Transformations and Inversion." Ch. 3 in Visual Complex Analysis. New York: Clarendon Press, pp. 122-188, 2000.html.
- Sims , K Understanding Julia and Mandelbrot sets,. http://www.karlsims.com/julia.html
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