Computer Analysis of the Equilibrium in Painting

  • Alexander Voloshinov
  • Olga DolininaEmail author
Conference paper
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 199)


All artists and art theorists recognize, that equilibrium is the simplest and most important principle of artistic construction, by means of which the elements of composition are organized into a single perceived and narrative whole. An important factor in ensuring the balance of the composition is the distribution of the “weights” of its elements, especially around the vertical and horizontal axes of the picture. The problem consists in constructing an adequate mathematical model that allows to estimate mathematically the balance of a pictorial composition. In the paper described two methods of solution are proposed: the concept of the colorimetric barycenter and a probabilistic model. There have been analyzed 1161 paintings of the 16 famous artists. The results of the analysis prove that the color balance is a necessary condition for the construction of a painterly composition and is almost strictly performed by all artists.


Equilibrium in painting Colorimetric barycenter Probabilistic model Composition 


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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Yuri Gagarin State Technical University of SaratovSaratovRussia

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