Research Article
The Effect of Multiple Rotations on Mobius Transformations in Generating IFS Fractals
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
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| Volume 142 - Issue 6 |
| Published: May 2016 |
| Authors: T. Gangopadhyay |
10.5120/ijca2016909821
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T. Gangopadhyay . The Effect of Multiple Rotations on Mobius Transformations in Generating IFS Fractals. International Journal of Computer Applications. 142, 6 (May 2016), 18-22. DOI=10.5120/ijca2016909821
@article{ 10.5120/ijca2016909821,
author = { T. Gangopadhyay },
title = { The Effect of Multiple Rotations on Mobius Transformations in Generating IFS Fractals },
journal = { International Journal of Computer Applications },
year = { 2016 },
volume = { 142 },
number = { 6 },
pages = { 18-22 },
doi = { 10.5120/ijca2016909821 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2016
%A T. Gangopadhyay
%T The Effect of Multiple Rotations on Mobius Transformations in Generating IFS Fractals%T
%J International Journal of Computer Applications
%V 142
%N 6
%P 18-22
%R 10.5120/ijca2016909821
%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 the effect of multiple rotations on Mobius transformations, that frequently lead to more well-rounded as well as original fractal designs.
References
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- Gangopadhyay, T. IFS Fractals generated by Affine Transformation with Trigonometric Coefficients and their Transformations, International journal of Computer Applications 53(2012) 29-32..
- Gangopadhyay, T. The Effect of Multiple Rotations on a Unified System of Affine Transformations with Related Trigonometric Coefficients, International journal of Computer Applications April(2016)(in press)..
- Krantz, S. G. "Möbius Transformations." §6.2.2 in Handbook of Complex Variables. Boston, MA: Birkhäuser, p. 81, 1999..
- Benoit B. Mandelbrot, Miroslav Michal Novak, Thinking in Patterns: Fractals and Related Phenomena in Nature
- Mumford , D et al. Indra’s Pearls, Cambridge University Press, 2002
- Needham, T. "Möbius Transformations and Inversion." Ch. 3 in Visual Complex Analysis. New York: Clarendon Press, pp. 122-188, 2000.html.
- Stevens, R. Creating Fractals, Charles River media, Inc. 2005
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