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http://dx.doi.org/10.7465/jkdi.2016.27.2.305

A study on fractal dimensions of art works  

Synn, Chaeki F. (Major in Art History, Keimyung University)
Heo, A-Young (Major in Art History, Keimyung University)
Kim, Seul Gee (Major in Statistics, Keimyung University)
Park, Cheolyong (Major in Statistics, Keimyung University)
Publication Information
Journal of the Korean Data and Information Science Society / v.27, no.2, 2016 , pp. 305-314 More about this Journal
Abstract
In this study, an analysis is performed for comparing the fractal dimension of Jackson Pollock's art works with that of Korean Infomel art works. In order to test the hypothesis that Jackson Pollock's fractal dimension is different from Korean Informel's, data is collected for the fractal dimensions of 30 Jackson Pollock's and 45 Korean Informel art works. The results show that Korean Informel's fractal dimension is larger than Jackson Pollock's. This might be interpreted that the pattern (in finer scale) of Korean Informel art works is closer to planes, rather than lines or points, compared to that of Jackson Pollock's.
Keywords
Art works; drip painting; fractal dimension; Jackson Pollock; Korean Informel;
Citations & Related Records
Times Cited By KSCI : 2  (Citation Analysis)
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1 Abbott, A. (2006). In the hands of a master. Nature, 439, 648-650.   DOI
2 Byun, C. (2011). Emergence and coevolution in Pollock's drip painting : Based on complex system theory. Journal of Contemporary Art Studies, 15, 49-90.
3 Chung, M. (2001). Abstract Expressionism and Korean Informel. Journal of Art History, 15, 247-262.
4 Coddington, J., Elton, J., Rockmore, D. and Wang, Y. (2008). Multifractal analysis and authentication of Jackson Pollock paintings. Proceedings of SPIE, Computer Image Analysis in the Study of Art, 6810, doi:10.1117/12.765015.   DOI
5 Gneiting, T., Sevcikova, H. and Percival, D. B. (2012). Estimators of fractal dimension: Assessing the roughness of time series and spatial data. Statistical Science, 27, 247-277.   DOI
6 Gouyet, J.-F. (1996). Physics and fractal structures, Springer, New York.
7 Hyun, Y., Kim, J. S., Jeong, J.-W., Yun, S. and Lee, M.-S. (2015). Text mining on internet-news regarding climate change and food. Journal of the Korean Data & Information Science Society, 26, 419-427.   DOI
8 Irfan, M. and Stork, D. G. (2009). Multiple visual features for the computer authentication of Jackson Pollock's drip paintings: Beyond box counting and fractals. Proceedings of SPIE, Image Processing: Machine Vision Applications II , 7251, doi:10.1117/12.806245.   DOI
9 Jones-Smith, K. and Mathur, H. (2006). Revisiting Pollock's drip paintings. Nature, 444, E9-E10.   DOI
10 Kim, C. K. and Kim, M. J. (2013). Comparison and analysis of paintings using fractal dimension - Focused on Mondrian, Kandinsky, Escher and Jackson Pollock's paintings. Journal of Korean Design Forum, 38, 287-297.
11 Kim, G. and Park, C. (2015). Analysis of English abstracts in Journal of the Korean Data & Information Science Society using topic models and social network analysis. Journal of the Korean Data & Information Science Society, 26, 151-159.   DOI
12 Kim, Y. (2000). Postwar abstract art in Korea and Korea's Informel. Postwar Abstract Art in Korea and the West: Passion and Expression, Hoam Art Gallery exhibition catalogue, 22-44, Hoam Art Museum, Yongin.
13 Mandelbrot, B. B. (1983). The fractal geometry of nature, W. H. Freeman, San Francisco.
14 Taylor, R. P., Guzman, R., Martin, T. P., Hall, G. D. R., Micolich, A. P., Jonas, D., Scannell, B. C., Fairbanks, M. S. and Marlow, C. A. (2007). Authenticating Pollock paintings using fractal geometry. Pattern Recognition Letters, 28, 695-702.   DOI
15 Taylor, R. P., Micolich, A. P. and Jonas, D. (1999). Fractal analysis of Pollock's drip paintings. Nature, 399, 422-422.