Automatic generation of aesthetic patterns with the use of dynamical systems

Authors:
Krzysztof Gdawiec;Wiesław Kotarski;Agnieszka Lisowska
Affiliations:
Institute of Computer Science, University of Silesia, Poland;Institute of Computer Science, University of Silesia, Poland;Institute of Computer Science, University of Silesia, Poland
Venue:
ISVC'11 Proceedings of the 7th international conference on Advances in visual computing - Volume Part II
Year:
2011

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Abstract

The aim of this paper is to present some modifications of the orbits generation algorithm of dynamical systems. The well-known Picard iteration is replaced by the more general one - Krasnosielskij iteration. Instead of one dynamical system, a set of them may be used. The orbits produced during the iteration process can be modified with the help of a probabilistic factor. By the use of aesthetic orbits generation of dynamical systems one can obtain unrepeatable collections of nicely looking patterns. Their geometry can be enriched by the use of the three colouring methods. The results of the paper can inspire graphic designers who may be interested in subtle aesthetic patterns created automatically.