DOI QR코드

DOI QR Code

A study on fractal dimensions of art works

미술 작품의 프랙탈 차원 연구

  • Received : 2016.01.25
  • Accepted : 2016.03.02
  • Published : 2016.03.31

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.

이 연구에서는 드립페인팅(drip painting)으로 유명한 잭슨 폴록(Jackson Pollock)의 작품과 이와 흡사한 형식을 가진 한국 앵포르멜 작업 (Korean Informel art)들에 나타난 프랙탈 차원 (fractal dimension)에 대한 분석을 시도하였다. 구체적으로 폴록과 한국 작가들의 프랙탈 차원이 다를 것이라는 가설을 통계적으로 검정하기 위해 30개의 폴록 작품과 45개의 한국 작가들의 작품을 사용하였다. 그 결과 폴록에 비해 한국 작가들의 프랙탈 차원이 통계적으로 더 높은 것으로 나타났다. 이는 폴록에 비해 한국 작가들의 작품의 패턴이 (세밀한 척도에서) 보다 평면적이라 해석될 수도 있을 것이다.

Keywords

References

  1. Abbott, A. (2006). In the hands of a master. Nature, 439, 648-650. https://doi.org/10.1038/439648a
  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.
  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. https://doi.org/10.1214/11-STS370
  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. https://doi.org/10.7465/jkdi.2015.26.2.419
  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.
  9. Jones-Smith, K. and Mathur, H. (2006). Revisiting Pollock's drip paintings. Nature, 444, E9-E10. https://doi.org/10.1038/nature05398
  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. https://doi.org/10.7465/jkdi.2015.26.1.151
  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. https://doi.org/10.1016/j.patrec.2006.08.012
  15. Taylor, R. P., Micolich, A. P. and Jonas, D. (1999). Fractal analysis of Pollock's drip paintings. Nature, 399, 422-422.