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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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    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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