Multifractal analysis and authentication of Jackson Pollock paintings

@inproceedings{Coddington2008MultifractalAA,
  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},
  year={2008}
}
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… 
View on SPIE
math.ust.hk
30 Citations
Background Citations
8
Methods Citations
1

30 Citations

Multiple visual features, regularization and machine learning for the authentication of Jackson Pollock's drip painting
Jackson Pollock’s action paintings|in which he dripped, poured, and splashed liquid paint onto canvases on the oor|are some of the most important works in American Abstract Expressionism. There are…
Fractal dimension and topological invariants as methods to quantify complexity in Yayoi Kusama's paintings.
Intricate patterns in abstract art many times can be wrongly characterized as being complex. Complexity can be an indicator of the internal dynamic of the whole system, regardless of the type of…
Fractal analysis of tree paintings by Piet Mondrian (1872-1944)
TLDR
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.
Topological invariants can be used to quantify complexity in abstract paintings
The Abstract Expressionists and Les Automatistes: A shared multi-fractal depth?
When Van Gogh meets Mandelbrot: Multifractal classification of painting's texture
Perceptual and Physiological Responses to Jackson Pollock's Fractals
TLDR
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.
Layered modeling and generation of Pollock’s drip style
TLDR
Experimental results show that the layered modeling approach designed in this paper can systematically generate images resembling Pollock’s dripping style.
Multifractal and singularity analysis of highway volume data
Boosting multi-feature visual texture classiffiers for the authentication of Jackson Pollock's drip paintings
Early attempts at authentication Jackson Pollock's drip paintings based on computer image analysis were restricted to a single "fractal" or "multi-fractal" visual feature, and achieved classification…
...
...

References

SHOWING 1-9 OF 9 REFERENCES
Fractal analysis of Pollock's drip paintings
Scientific objectivity proves to be an essential tool for determining the fundamental content of the abstract paintings produced by Jackson Pollock in the late 1940s. Pollock dripped paint from a can…
Multifractal Fingerprints in the Visual Arts
The similarity in fractal dimensions of paint blobs in samples of gestural expressionist art implies that these pigment structures are statistically indistinguishable from one another. This…
Authenticating Pollock paintings using fractal geometry
A digital technique for art authentication
TLDR
A computational technique for authenticating works of art, specifically paintings and drawings, from high-resolution digital scans of the original works, is described, which confirms expert authentications of Pieter Bruegel the Elder.
Fractals and art: In the hands of a master
TLDR
Fractal analysis has been used to assess the authenticity of paintings purporting to be the work of Jackson Pollock, finding that some aregeries and others are genuine.
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.
  • R. Taylor
  • Medicine, Mathematics
    Scientific American
  • 2002
Multifractal structure in nonrepresentational art.
TLDR
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