Drip paintings and fractal analysis

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 79, Issue 4, 2009, Pages

  Jones Smith, Katherine ^a   Mathur, Harsh ^a   Krauss, Lawrence M ^b  

^a CASE WESTERN RESERVE UNIVERSITY   (United States)

^b ARIZONA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC LIMITS; BOX-COUNTING; EUCLIDEAN; FRACTAL ANALYSIS; JACKSON; MULTIFRACTAL SCALING; SCALE INVARIANT; WORKS OF ART;

STAIRS;

FRACTALS;

EID: 66349093642     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.79.046111     Document Type: Article

References (22)

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11. Unfortunately Taylor nowhere provided sufficient information about their color separation method to allow us to calibrate our techniques against theirs.
12. It appears on the list of 17 paintings that were the basis of the criteria in a preprint version of Ref. but not in the published version.
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14. Our box counter uses the round-off rule that a pixel occupies a box if more than half the area of the pixel lies inside the box. It places the origin of the grid of boxes at the lower left corner of the canvas; boxes on the top and right edges that lie partly outside the canvas are not counted. We have explored other common variations such as including pixels in a box if they intersect it at all, treating the edge boxes on the same footing as the interior boxes, and offset averaging, where we shift the origin of our box grid and average over different locations. We have verified that all these alternatives lead to essentially the same results.
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