Abstract
A physical process is characterized as complex when it is difficult to analyze or explain in a simple way. The complexity within an art painting is expected to be high, possibly comparable to that of nature. Therefore, constructions of artists (e.g., paintings, music, literature, etc.) are expected to be also of high complexity since they are produced by numerous human (e.g., logic, instinct, emotions, etc.) and non-human (e.g., quality of paints, paper, tools, etc.) processes interacting with each other in a complex manner. The result of the interaction among various processes is not a white-noise behavior, but one where clusters of high or low values of quantified attributes appear in a non-predictive manner, thus highly increasing the uncertainty and the variability. In this work, we analyze stochastic patterns in terms of the dependence structure of art paintings of Da Vinci and Picasso with a stochastic 2D tool and investigate the similarities or differences among the artworks.
Highlights
The meaning of beauty is linked to the evolution of human civilization, and the analysis of the connection between the observer and the beauty in art and nature has always been of high interest in both philosophy and science
Modern mathematical tools and artificial intelligence provide many computational methods for has led the conservators from the National Gallery to conclude that the greater part of the work is by evaluation and classification
Of mathematic evaluation of art paintings, the results of which could be understood by a non-expert, A general view, with stochastic analysis, of Da Vinci’s Virgin of the Rocks (Figure 13) shows that, and could provide insights into the aesthetical study of an art painting, as seen in the examples of even though both of the art paintings are far enough from Da Vinci’s stochastic forms, the Louvre this study
Summary
The meaning of beauty is linked to the evolution of human civilization, and the analysis of the connection between the observer and the beauty in art and nature has always been of high interest in both philosophy and science. Even though this analysis has mostly been regarded as part of social studies and humanities, other scientists have been involved mostly through the philosophy of science [1]. Analyses through mathematics are generally focused on applying mathematical tools in trying to describe aesthetics In most of these analyses, the question at hand is whether what is pleasing to the eye can be explained through analogies. Pythagoras and Euclid were the first philosophers known to have searched for a common rule (canon) existing in shapes that are perceived as beautiful
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
