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http://dx.doi.org/10.7583/JKGS.2014.14.6.109

Creation of Fractal Images with Rotational Symmetry Based on Julia Set  

Han, Yeong-Deok (Dept. of Information Security, Woosuk University)
Abstract
We studied the creation of fractal images with polygonal rotation symmetry. As in Loocke's method[13] we start with IFS of affine functions that create polygonal fractals and extends the IFS by adding functions that create Julia sets instead of adding square root functions. The resulting images are rotationally symmetric and Julia set shaped. Also we can improve fractal images by modifying probabilistic IFS algorithm, and we suggest a method of deforming Julia set by changing exponent value.
Keywords
Fractal; Rotational symmetry; Iterated function systems; Julia set;
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Times Cited By KSCI : 5  (Citation Analysis)
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