Mona Lisa, the stochastic view and fractality in color space

Physics – Data Analysis – Statistics and Probability

Scientific paper

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16 pages, 5 figures, to appear in Int. J. Mod. Phys. C

Scientific paper

10.1142/S0129183108012558

A painting consists of objects which are arranged in specific ways. The art of painting is drawing the objects, which can be considered as known trends, in an expressive manner. Detrended methods are suitable for characterizing the artistic works of the painter by eliminating trends. It means that we study the paintings, regardless of its apparent purpose, as a stochastic process. We apply multifractal detrended fluctuation analysis to characterize the statistical properties of Mona Lisa, as an instance, to exhibit the fractality of the painting. Our results show that Mona Lisa is long range correlated and almost behaves similar in various scales.

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