Multifractal analysis and authentication of Jackson Pollock paintings

被引：13

作者：

Coddington, Jim ^{[2
]}

Elton, John ^{[3
]}

Rockmore, Daniel ^{[1
]}

Wang, Yang ^{[4
]}

机构：

[1] Dartmouth Coll, Dept Math, Hanover, NH 03755 USA

[2] New York Museum Modern Art, New York, NY USA

[3] Pegasus Imaging Corp, Tampa, FL 33603 USA

[4] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

来源：

COMPUTER IMAGE ANALYSIS IN THE STUDY OF ART | 2008年 / 6810卷

基金：

美国国家科学基金会;

关键词：

fractal dimension; multifractal dimension; stylometry;

D O I：

10.1117/12.765015

中图分类号：

J [艺术];

学科分类号：

13 ; 1301 ;

摘要：

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 representation and include the results of a small experiment in the step of color layer extraction.

引用

页数：12

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