G.-F. Sargentis, R. Ioannidis, M. Chiotinis, P. Dimitriadis, and D. Koutsoyiannis, Aesthetical issues with stochastic evaluation, Data Analytics for Cultural Heritage, edited by A. Belhi, A. Bouras, A.K. Al-Ali, and A.H. Sadka, doi:10.1007/978-3-030-66777-1_8, Springer, 2021.
Throughout human history, the quantification of aesthetics has intrigued philosophers, artists, and mathematicians alike. In this chapter, a methodology based on stochastic mathematics is applied for the quantification of aesthetic attributes of paintings and landscapes. The paintings analyzed include Da Vinci, Pablo Picasso, and various other celebrated paintings from 1250 AD to modern times. In regard to landscapes, the analysis focuses on the aesthetic transformations imposed to landscapes from wind energy projects. The methodology used is called stochastic 2D-C analysis and is based on a stochastic computational tool that analyzes brightness fluctuation in images. The 2D-C tool is used to measure the degree of variability and in particular the change in variability vs. scale. The application of the tool provides (a) input on the qualitative efficiency of mainstream methods used in landscape-impact analysis, (b) insights into the expression forms of the examined artists and historical periods, and finally (c) evidence that can be used in the search of the originality of an artwork of disputed authorship.
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