For a break from the math a minute I did this picture of my parent's dog Rose. I did the red, green, and blue channels separately and then combined them to see how it would work.
So the way I did this was I wrote a program that looks at the red, green and blue components and rounds them to the nearest of 8 shades each to make these:
Then I paint over each one to smooth out all the speckly borders you can see for instance in the above to get this:
The other two channels look like:
Then I recombine the 3 components to get the final image.
For instance the heart shape on her head is orange which is a mixture of a certain shade of red and a certain shade of green.
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