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Researchers End Debate Over Fractal Analysis Of Authentication Of

by Roger Bagula <rlbagula@[EMAIL PROTECTED] > Dec 10, 2007 at 05:17 PM

http://www.sciencedaily.com/releases/2007/11/071125114847.htm
    Web address:
     http://www.sciencedaily.com/releases/2007/11/
     071125114847.htm    
Researchers End Debate Over Fractal Analysis Of Authentication Of 
Pollock's Art

Alexandra Ash and Michael Hallen study Jackson Pollock's drip painting 
method. (Credit: Image courtesy of Case Western Reserve University)

ScienceDaily (Nov. 26, 2007) — When art experts and scientists gather on 
November 28 to talk about Jackson Pollock's work, Case Western Reserve 
University physicist Lawrence Krauss, the Ambrose Swasey Professor of 
Physics and Astronomy, will be among the invited guests to the 
symposium, sponsored by the International Foundation for Art Research in 
New York City. The program will take place at the National Academy of 
Design, and the gathering will examine science issues related to 
authenticating Jackson Pollock's work.

The university's physicists recently "put the nail in the coffin" in the 
debate about using fractal analysis in authenticating art as they 
completed a second study related to fractal analysis and Jackson 
Pollock's drip paintings.

The debate over the veracity of fractal authentication ignited after 
fractal analysis was applied to a cache of paintings discovered by Alex 
Matter that may be works of Pollock.

"No information about artistic authenticity can be gleaned from fractal 
analysis," said Katherine Jones-Smith, lead author of the study. The 
researchers, which include physicists Jones-Smith and her collaborators 
Harsh Mathur and Lawrence Krauss, subjected seven paintings to fractal 
authentication and found that the fractal characteristics of a painting 
are completely uncorrelated to the artist. Their analysis includes three 
famous paintings by Pollock, two paintings from the Matter cache and two 
paintings made earlier this year by Case Western Reserve undergraduates 
Alexandra Ash and Michael Hallen.

In the process of analyzing art, the researchers discovered some new 
fractal mathematics and developed a process for separating the colored 
layers of paint in art works.

Fractal analysis involves placing a grid over an image to search for 
replications of geometric patterns. In this case, it also involved color 
separation and an analysis of each layer of paint. The data is plotted 
on a graph and a "box-counting curve" that resembles a staircase is 
generated. This curve is inspected to see if it meets the fractal 
authentication criteria.

The fractal authentication criteria were developed by University of 
Oregon physicist Richard Taylor in a series of publications beginning 
with a 1999 Nature article. Taylor announced

in 2006 that none of the six paintings that he analyzed from the Matter 
cache were authentic, according to his criteria.

Later that year in an article published in Nature, Jones-Smith and 
Mathur re****ted that scribbles made by Jones-Smith using Adobe Photoshop 
also satisfied fractal authentication criteria, making them equal to 
Pollocks in mathematical complexity. That a drawing resembling a child's 
picture of stars passed Taylor's fractal test and rose to the status of 
a Pollock cast serious doubt on the validity of fractal analysis as an 
authentication tool.

The next step was to see if real Pollocks, and paintings that resemble 
real Pollocks, would pass the fractal test, said Jones-Smith, and that 
is the focus of the researchers' most recent re****t, has been posted on 
the Physics Arxiv Web site for physics research and submitted to 
Physical Review Letters for consideration. The authentic Pollock works 
studied by the team included "Free Form" (1946), "The Wooden Horse: 
Number 10A, 1948" (1948), and "Untitled" (ca 1950). The team found that 
two of the three paintings fail to satisfy Taylor's criteria, even 
though they are known to be authentic.

Then they found that two paintings, created earlier this year by Ash and 
Hallen, do pass the fractal authentication test. Finally they analyzed 
two paintings from the Matter cache and found that one passes the test 
and one failed.

Jones-Smith said, "Known Pollock paintings, hanging in museums and worth 
millions of dollars, don't pass Taylor's criteria, and then there are 
the paintings by these students that do pass, even though they are 
definitely not by Pollock."

As far as the paintings in the Matter cache go, the debate is far from 
over. The 32 paintings, made public in 2005, were discovered among the 
personal effects of the late Herbert Matter, a close friend of 
Pollock's. According to Matter's records, the paintings were done by 
Pollock.

Other scientists from Harvard University have disputed the paintings 
origins by dating some of the materials as being patented in the U.S. 
after Pollock's death in 1956.

"I think it is more appealing that Pollock's work cannot be reduced to a 
set of numbers with a certain mean and certain standard deviation," said 
Jones-Smith.

"The mystique that is part of the human experience is not so simply 
classified and makes the tragedy of our existence more interesting," 
said Krauss.

What started as artistic research did yield new mathematical findings 
about fractals. Mathur said they discovered that the statistics of 
box-counting curves and related staircases provide a new way to 
characterize geometry and distinguish fractals from Euclidean objects. 
They explored how the steps in the staircases deviated from a smooth 
box-counting curve to determine whether an object is fractal or Euclidean.

"Aside from resolving this art matter, these considerations have lead to 
interesting scientific considerations," said Krauss. "It is nice that 
consideration of the world of art has caused one to think about problems 
that are relevant in a more general way in physical system."

Adapted from materials provided by Case Western Reserve University.
Need to cite this story in your essay, paper, or re****t? Use one of the 
following formats:
APA

MLA
Case Western Reserve University (2007, November 26). Researchers End 
Debate Over Fractal Analysis Of Authentication Of Pollock's Art. 
ScienceDaily. Retrieved December 10, 2007, from 
http://www.sciencedaily.com­
/releases/2007/11/071125114847.htm

>
 




 3 Posts in Topic:
Pollock or Not? Can Fractals Spot a Fake Masterpiece?: Scientifi
Roger Bagula <rlbagula  2007-11-02 08:02:08 
Computers learn art appreciation
Roger Bagula <rlbagula  2007-11-08 23:16:48 
Researchers End Debate Over Fractal Analysis Of Authentication O
Roger Bagula <rlbagula  2007-12-10 17:17:28 

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