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Auto-Generation System Based on Fractal Geometry for Batik Pattern Design

Key Laboratory of Advanced Manufacturing Technology (Guizhou University), Ministry of Education, Guiyang 550003, China
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Appl. Sci. 2019, 9(11), 2383; https://doi.org/10.3390/app9112383
Received: 7 May 2019 / Revised: 29 May 2019 / Accepted: 6 June 2019 / Published: 11 June 2019
In order to obtain the automatic simulation generation of traditional handmade batik patterns in a computer, this paper proposes the automatic generation method of batik flower patterns based on fractal geometry. Firstly, we analyze the fractal characteristics of batik flowers and design an automatic flower generation algorithm based on a two-dimensional iterated function system (IFS) and a curve function. The algorithm forms a complete flower pattern. Secondly, a nonlinear function is defined and the flower pattern is introduced into the nonlinear function to iterate and change. On this basis, we present an automatic generation method of different distribution patterns for flower patterns which obtains the most effective range of each parameter value for each function. Finally, in order to verify the feasibility of the automatic generation method of batik flower patterns, we develop an automatic generation experiment system for batik patterns via an interactive way of working. The results show that the user or designer can quickly and automatically simulate a series of flower patterns by changing the relevant parameter values, realizing the digitization and innovative design of the pattern and enriching the batik pattern base. View Full-Text
Keywords: fractal geometry; iterated function system; flower pattern; batik; auto-generation fractal geometry; iterated function system; flower pattern; batik; auto-generation
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Tian, G.; Yuan, Q.; Hu, T.; Shi, Y. Auto-Generation System Based on Fractal Geometry for Batik Pattern Design. Appl. Sci. 2019, 9, 2383.

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