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On Generating Julia Set Fractal Shaped Images through Mobius Transformations

by T. Gangopadhyay
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 146 - Number 2
Year of Publication: 2016
Authors: T. Gangopadhyay
10.5120/ijca2016910653

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 },
issue_date = { Jul 2016 },
volume = { 146 },
number = { 2 },
month = { Jul },
year = { 2016 },
issn = { 0975-8887 },
pages = { 11-15 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume146/number2/25369-2016910653/ },
doi = { 10.5120/ijca2016910653 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T23:49:12.130399+05:30
%A T. Gangopadhyay
%T On Generating Julia Set Fractal Shaped Images through Mobius Transformations
%J International Journal of Computer Applications
%@ 0975-8887
%V 146
%N 2
%P 11-15
%D 2016
%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
  1. Bourke, P.: An Introduction to fractals ,http://paulbourke.net/fractals/fracintro/
  2. 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
  3. Julia, G. Mémoire sur l'itération des fonctions rationnelles, Journal de Mathématiques Pures et Appliquées, 1918
  4. Krantz, S. G. "Möbius Transformations." §6.2.2 in Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 81, 1999..
  5. Needham, T. "Möbius Transformations and Inversion." Ch. 3 in Visual Complex Analysis. New York: Clarendon Press, pp. 122-188, 2000.html.
  6. Sims , K Understanding Julia and Mandelbrot sets,. http://www.karlsims.com/julia.html
Index Terms

Computer Science
Information Sciences

Keywords

Mobius IFS Julia .

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