Multifractal analysis and authentication of Jackson Pollock paintings

  title={Multifractal analysis and authentication of Jackson Pollock paintings},
  author={Jim Coddington and John H. Elton and Daniel N. Rockmore and Yang Wang},
  booktitle={Electronic Imaging},
Recent work has shown that the mathematics of fractal geometry can be used to provide a quantitative signature for the drip paintings of Jackson Pollock. In this paper we discuss the calculation of a related quantity, the "entropy dimension" and discuss the possibility of its use a measure or signature for Pollock's work. We furthermore raise the question of the robustness or stability of the fractal measurements with respect to variables like mode of capture, digital resolution, and digital… 
Multiple visual features, regularization and machine learning for the authentication of Jackson Pollock's drip painting
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It is suggested that Piet Mondrian's depiction of tree foliages exhibit fractal patterns of a specific dimension, which implies that fractality may possess an aesthetic value that affected Mondrian, perhaps in a similar way as it inspired Jackson Pollock, another famous painter who incorporated fractality in several of his paintings.
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A review of 10 years of scientific investigation of human response to fractals that examines the inter-relationship between the various results and discusses the artistic implications of the positive perceptual and physiological responses to fractal patterns.
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Experimental results show that the layered modeling approach designed in this paper can systematically generate images resembling Pollock’s dripping style.
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Fractal analysis of Pollock's drip paintings
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A Class of Self-Affine Sets and Self-Affine Measures
Let I = {φj}j=1 be an iterated function system (IFS) consisting of a family of contractive affine maps on Rd. Hutchinson [13] proved that there exists a unique compact setK = K(I), called the
Order in Pollock's chaos.
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Multifractal structure in nonrepresentational art.
The data suggest that the "edge" method can distinguish between artists in the same movement and is proposed to represent a toy model of visual discrimination.
A class of selfaffine measures
  • J . Fourier Anal . and Appl .
  • 2005