Today I will continue the previous thread on
https://twitter.com/GFivoSculpture/status/1306162999246368770?s=20 about a recent paper entitled: Aesthetical Issues of Leonardo DaVinci’s and Pablo Picasso’s Paintings with Stochastic Evaluation, published
@Heritage_MDPI https://www.mdpi.com/2571-9408/3/2/17
#artist #painting

Leonardo da Vinci and Pablo Picasso were two great #artists who had different #artwork styles. Both have greatly influenced arts and therefore, we have selected these two to quantify the variability of their works, searching for stochastic similarities among their paintings.

(a) Paintings of #Leonardo da Vinci (1452–1519); (b) Climacograms and standardized climacograms of the #painting; averages thereof are also plotted. #art

(a) #Painting of Pablo #Picasso in the blue period (1901–1904); (b) Climacograms and standardized climacograms of the paintings. #art

(a) #Painting of Pablo #Picasso in the red period (1904–1906); (b) Climacograms and standardized climacograms of the paintings. #art

(a) #Painting of Pablo #Picasso after 1910; (b) Climacograms and standardized climacograms of the paintings. #art

For each painting, we calculated the coefficient of variation of the original image at scale 1, which, by definition, is the standard deviation of brightness divided by the average. We then calculated the average of all the paintings of each #artist. #art

A high value of the coefficient of variation shows that an #artist uses a broad range of brightness in his #painting for the same average brightness. The average coefficient of variation of Da Vinci’s artworks is equal to 0.7 and that of Picasso’s artworks is equal to 0.45.

In order to see the range of fluctuations of climacograms, for each scale k we calculated the coefficient of variation of all standardized climacograms, g(k). #math and #art

As we have seen, the art paintings of #Leonardo da Vinci exhibit stochastic similarity, and he has his own steady stochastic canon of expression, which is represented by a stochastic Golden Climacogram. #art & #Mathematics

In contrast, #Picasso’s artworks (in stochastic view) display a wide range of fluctuations (view previous figures of this thread). This figure shows the graphs of g(k) vs. k for all examined cases. This range of fluctuations is larger as the artist growing older. #artist #art

In previus figure, we could see that #DaVinci’s art paintings are more stable and #Picasso’s have more fluctuation. Picasso’s artworks were more fuzzy as the artist was growing older, with bigger and bigger variance. #art #artist

Tomorrow I will continue this presentation with new thread; view all the paper: Aesthetical Issues of Leonardo Da Vinci’s and Pablo Picasso’s Paintings with Stochastic Evaluation https://www.mdpi.com/2571-9408/3/2/17/htm @Heritage_MDPI #art & #maths