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1/f-Noise structures in Pollocks's drip paintings

Author

Listed:
  • Alvarez-Ramirez, Jose
  • Ibarra-Valdez, Carlos
  • Rodriguez, Eduardo
  • Dagdug, Leonardo

Abstract

The fractality and scaling properties of luminance patterns in Pollock's drip paintings, are studied in this paper. The painting is represented as a matrix array where each entry represents the luminance at the corresponding canva position. Detrended fluctuation analysis (DFA) is used to characterize fractality, and the results show that the whole luminance pattern is indeed fractal. Interestingly, the fractality is associated to 1/f-noise structures, which can be inducing the aesthetic properties of the artistic object. In fact, for spatial scales below 30cm, Pollock's drip painting are organized as 1/f-noise structures, which presumably are attuned for pleasant (i.e., aesthetic) perception.

Suggested Citation

  • Alvarez-Ramirez, Jose & Ibarra-Valdez, Carlos & Rodriguez, Eduardo & Dagdug, Leonardo, 2008. "1/f-Noise structures in Pollocks's drip paintings," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(1), pages 281-295.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:1:p:281-295
    DOI: 10.1016/j.physa.2007.08.047
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    References listed on IDEAS

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    1. Yanhui Liu & Pierre Cizeau & Martin Meyer & Chung-Kang Peng & H. Eugene Stanley, 1997. "Correlations in Economic Time Series," Papers cond-mat/9706021, arXiv.org.
    2. Jennings, Heather D & Ivanov, Plamen Ch & M. Martins, Allan de & da Silva, P.C & Viswanathan, G.M, 2004. "Variance fluctuations in nonstationary time series: a comparative study of music genres," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(3), pages 585-594.
    3. Telesca, Luciano & Lovallo, Michele & Lapenna, Vincenzo & Macchiato, Maria, 2007. "Long-range correlations in two-dimensional spatio-temporal seismic fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(1), pages 279-284.
    4. Stanley, H.E. & Amaral, L.A.N. & Goldberger, A.L. & Havlin, S. & Ivanov, P.Ch. & Peng, C.-K., 1999. "Statistical physics and physiology: Monofractal and multifractal approaches," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 270(1), pages 309-324.
    5. Blesić, S. & Milošević, S. & Stratimirović, Dj. & Ljubisavljević, M., 1999. "Detrended fluctuation analysis of time series of a firing fusimotor neuron," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 268(3), pages 275-282.
    6. Morariu, V.V. & Coza, A., 2003. "Nonlinear properties of the atomic vibrations in protein backbones," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 320(C), pages 461-474.
    7. Alvarez-Ramirez, Jose & Espinosa-Paredes, Gilberto & Vazquez, Alejandro, 2005. "Detrended fluctuation analysis of the neutronic power from a nuclear reactor," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(2), pages 227-240.
    8. Liu, Yanhui & Cizeau, Pierre & Meyer, Martin & Peng, C.-K. & Eugene Stanley, H., 1997. "Correlations in economic time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(3), pages 437-440.
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    Cited by:

    1. Grigolini, Paolo & Aquino, Gerardo & Bologna, Mauro & Luković, Mirko & West, Bruce J., 2009. "A theory of 1/f noise in human cognition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(19), pages 4192-4204.
    2. Alvarez-Ramirez, J. & Ibarra-Valdez, C. & Rodriguez, E., 2016. "Fractal analysis of Jackson Pollock's painting evolution," Chaos, Solitons & Fractals, Elsevier, vol. 83(C), pages 97-104.
    3. Neelakshi, J. & Rosa, Reinaldo R. & Savio, Siomel & Stephany, Stephan & de Meneses, Francisco C. & Kherani, Esfhan Alam & Muralikrishna, P., 2022. "Multifractal characteristics of the low latitude equatorial ionospheric E–F valley region irregularities," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).

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