An Evolutionary Approach for Generating 2D and 3D Fractal Art

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Reference

Corina Blajovici: An Evolutionary Approach for Generating 2D and 3D Fractal Art. In: 10th Joint Conf. on Math. and Comp. Sci., May 22–25, 2014, Cluj, Romania.

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Abstract

Research in evolutionary art explores mathematical models for systems that are able to evolve aesthetically pleasing and unpredictable computer artworks. This paper presents a genetic algo- rithm for evolving new shapes of fractals. We explore various representations of variable-length chromosomes for encoding 2D and 3D forms of fractal art using Iterated Function Systems (IFS). Measures from fractal theory, such as correlation dimension, are used to evaluate aesthetics of the evolved forms. In addition, the users are able to assign scores to various shapes according to their preference. We show that our approach can generate a large variety of complex and interesting art shapes.

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Used References

[1] W. Pang, C. K. Hui. Interactive Evolutionary 3D Fractal Modeling. The Visual Computer, vol. 26(12), 2010, pp. 1467-1483.

[2] W. Somlak. An Aesthetics Driven Approach to Jewelry Design. Computer-Aided Design and Applications, vol.7(4), 2010, pp. 489-503.

[3] B. Spehar, C.W.G. Clifford, B. R. Newell, R. P. Taylor. Universal aesthetic of fractals. Com- puters & Graphics, vol. 27(5), 2003, pp. 813-820.

[4] S. Draves. The Electric Sheep Screen-Saver: A Case Study in Aesthetic Evolution. Applications of Evolutionary Computing, Lecture Notes in Computer Science, vol. 3449, 2005, pp. 458-467.

[5] M. Lewis. Evolutionary Visual Art and Design. The Art of Artificial Evolution, Natural Com- puting Series, 2008, pp. 3-37

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