Mona Lisa, the stochastic view and fractality in color space

TL;DR

This paper applies multifractal detrended fluctuation analysis to the Mona Lisa, revealing its fractal and long-range correlated properties, thus offering a stochastic perspective on the painting's structure.

Contribution

It introduces a novel application of multifractal analysis to classical art, demonstrating the fractality and stochastic nature of the Mona Lisa.

Findings

Mona Lisa exhibits long-range correlations.

The painting shows scale-invariant fractal properties.

It behaves similarly across different scales.

Abstract

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.