Abstract
A tiling design is very significant for mathematical aspect. There has been some studies on producing tiling designs using a computer. Most of them, however, are difficult to support users’ creativity because several or various output figure cannot be obtained for one input. In this paper, we have proposed a system that can support users to create tile figures for Escher like tiling designs. The system can create several possible candidate figures from the input one, where repetition of reproducing or varying partial shapes of the figure and evaluating or redrawing the figure by users is executed by employing interactive genetic algorithms. We demonstrate that our system can create various tile figures, which are as close as possible to the input figure and reflected to users’ preference.
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References
Arkin, E.M., Chew, L.P., Huttenlocher, D.P., Kedem, K., Mitchell, J.S.B.: An Efficiently Computable Metric for Comparing Polygonal Shapes. IEEE Trans. on Pattern Analysis and Machine Intelligence 13(3), 209–216 (1991)
Bradski, G., Kaehler, A.: Learning OpenCV: Computer Vision with the OpenCV Library, 1st edn. O’Reilly (2008)
Goldberg, D.E.: Genetic Algorithms in Search, Optimization and Machine Learning, pp. 1–25. Addison–Wesley (1989)
Grunbaum, B., Shephard, G.C.: Tiling and Patterns. W. H. Freeman (1990)
Kaplan, C.S., Salesin, D.H.: Escherization. In: Proc. of SIGGRAPH, pp. 499–510 (2000)
Kaplan, C.S.: Computer Graphics and Geometric Ornamental Design. Ph.D Thesis, University of Washington, Seattle (2002)
Kisanuki, M., Ono, S., Machii, H., Mizuno, K., Nakayama, S.: Escher-Like Tiling Pattern Design by Interactive Iterative Genetic Algorithm, NICOGRAPH International 2013, poster (2013)
Koizumi, H., Sugihara, K.: Computer-aided design of escher-like tiling, NICOGRAPH Paper Contest (2009) (in Japanese)
Takagi, H.: Interactive evolutionary computation: fusion of the capabilities of EC optimization and human evaluation. Proc. IEEE 89, 1275–1296 (2001)
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© 2015 Springer International Publishing Switzerland
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Ono, S., Kisanuki, M., Machii, H., Mizuno, K. (2015). Figure Pattern Creation Support for Escher-Like Tiling by Interactive Genetic Algorithms. In: Handa, H., Ishibuchi, H., Ong, YS., Tan, K. (eds) Proceedings of the 18th Asia Pacific Symposium on Intelligent and Evolutionary Systems, Volume 1. Proceedings in Adaptation, Learning and Optimization, vol 1. Springer, Cham. https://doi.org/10.1007/978-3-319-13359-1_33
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DOI: https://doi.org/10.1007/978-3-319-13359-1_33
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-13358-4
Online ISBN: 978-3-319-13359-1
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