Abstract
The science of pattern formation deals with the visible, (statistically) orderly outcomes of self-organization and the common principles behind similar patterns in nature. Cell pattern formation has an important role in both artificial and natural development. Different methods have been utilized for pattern formation such as geometrical, Cellular Automata (CAs), and L-Systems. In this chapter, we concentrate our aim on introducing the role of CAs and L-Systems in pattern formation and how to extract optimum rules in terms of numbers and functionality for this aim. Because a few works have been reported in the field of script generation, we take generatingMa’qeli script and Holy words patterns, as a case study, in hand. Results of this study show the superiority of the proposed method in comparison with geometrical and fractal approaches in case of the time complexity in word production, simplicity of extracted rules, and possible reusability of the CAs rules in generating other script patterns in other languages. Moreover, the proposed method is shape-resistance, which can be less seen in fractals and geometrical based pattern formation.
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Minoofam, S.A.H., Dehshibi, M.M., Bastanfard, A., Shanbehzadeh, J. (2014). Pattern Formation Using Cellular Automata and L-Systems: A Case Study in Producing Islamic Patterns. In: Rosin, P., Adamatzky, A., Sun, X. (eds) Cellular Automata in Image Processing and Geometry. Emergence, Complexity and Computation, vol 10. Springer, Cham. https://doi.org/10.1007/978-3-319-06431-4_12
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DOI: https://doi.org/10.1007/978-3-319-06431-4_12
Publisher Name: Springer, Cham
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