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About Deviant Senior Member Tatyana ZabanovaFemale/Brazil Groups :iconfractaldreams: FractalDreams
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tatasz
Tatyana Zabanova
Brazil
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What is the best theme for a generative book? 

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A little bit of fractal statistics

Mon Apr 23, 2018, 12:51 PM
Well, there was this random discussion about nature of art. I started discussing it as a sort of a classification problem, and people complained I was bringing statistics into art :dummy:
So I decided to actually do a bit of statistics about fractals.

My first project, inspired by what Esherymack is doing, is to study the colors I use in my artwork.


The dominant colors and sorting


My idea was to find the dominant colors for each work. Then, I could find clusters of those color profiles, and find out which combinations are the most common. So color profiles for each artwork are the first step.

For this task, I used the k-means idea presented in this article: zeevgilovitz.com/detecting-dom…
The basic idea of using k-means to find dominant colors is that you take the color of each pixel, and then separate those in k groups, based on similarity between colors. For example, with a small number of groups, red and orange would go into same group, but blue would go into a different group. 

So now I could get the dominant colors for any picture. 50 dominant colors, why not? Here you go, 50 shades of disc for you:

Disc Dominant50 by tatasz

The optimal number of clusters may vary from one image to another. But since I wanted to group the resulting profile later on, I decided to pick some number that would work well for most. For the clustering part, I used color profiles with 10 dominant colors for each image.

This method returns the colors in no specific order. Since I wanted to also display the results visually, this was not cool, since this looks kinda messy. Once more, I was too lazy to think of something by myself, and used somebody else's results: www.alanzucconi.com/2015/09/30… Out of the described methods, I liked the Hilbert curve sorting the most, and it was the method I used. On the picture above, the colors on the right are ordered using a Hilbert curve.


Clustering nightmare


Now that I had the tools to describe the colors of each image, I applied it on 1118 artworks from my gallery. For clustering, I would need to define some sort of distance measure between two profiles, a number that would describe how different the colors of two works are. The main trick here is that the colors come in no specific order: an image can have green and blue, but also can have blue and green, and my measure would need to somehow accommodate this.

Meanwhile, another pic to make sure you are following:

Sunny Dominant by tatasz

After messing around a bit, I ended up with the following: given two color profiles, A and B, I would pair the colors of A with colors of B in such way that the sum of differences between each pair would be the smallest possible (say hi, Hungarian algorithm). 

I also tinkered a lot with the distance measures between pairs of colors, ending up with a weird function of HSL, which seemed to work the best for the case. 

Finally :la: all I had to do is to run some hierarchical clustering, using the distances I calculated previously.


Results


I use a lot of different coloring schemes :dummy: Most of the time, though, I am not fun at all. The most common color combination among my work was a gradient of brown, sometimes red, with small additions of other colors. This color scheme is used in 22% (almost one fourth, shame on me) of my works.

A few works representative of this group:

Brown Group Examples by tatasz

I make those pretty much at constant rate, and it was obviously my favorite color scheme during 2015 and 2016 - at some months, 50-60% of my work were basically brown. Below, you can see the % of brownish works out of all submitted, by month:

Brownplot by tatasz


A second typical coloring scheme observed was black and white. Over the years, I made 55 black and white stills (5% of the studied artworks). 

21 by tatasz

There are a few other typical color profiles, but they are overall less common than those two.

Comments


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:iconleawiggins:
LeaWiggins Featured By Owner Oct 31, 2018
Fractical Magic by LeaWiggins Created from your "Flame" image from 2013!  Appreciate your talent so much!
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:iconstygma:
Stygma Featured By Owner Aug 25, 2018  Hobbyist General Artist
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:iconspecialized666:
specialized666 Featured By Owner Aug 10, 2018  Professional General Artist
Hi, have an awesome day :happybounce:
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:iconsuezn:
suezn Featured By Owner Aug 5, 2018
Congrats on your AWW Award!  
Dove by vafiehya
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:iconcoastbeachartist:
coastbeachartist Featured By Owner Edited Aug 2, 2018  Professional Digital Artist
                             Applaud fella (Reactions) 
Hail Tatyana!

Congratulations on your Angels Without Wings award! The honor is mine to join you and Daniela as the other recipients for this month.

We admire your selfless promotion of other fractal artists in the DA community. Your artworks are profoundly beautiful. Your Light goes out into the world and we are all better for it.

Blessed be,

Grant
                           Bunny Emoji-91 Spin Hug 
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:iconumbraria:
UmbrAria Featured By Owner Jun 16, 2018  Student Digital Artist
Very interesting patterns mate! Thanks for the llama!
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:iconemelaldlover:
emelaldlover Featured By Owner Jun 15, 2018  Hobbyist General Artist
Thanks for the llama^^
Aweome galleries!!!:love:
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:icontoyas-world:
toyas-world Featured By Owner Jun 15, 2018  Professional Filmographer
Thank you heaps for the llama  :D chasing llama 
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:iconthedarkdawn:
TheDarkDawn Featured By Owner Jun 14, 2018  Student Digital Artist
Thanks for the llama!. ^-^ Here's one in return. -le hands chu a llama as well.- x'3
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