Crazy interpolation / imputation question
Posted: Sat May 18, 2019 2:46 pm
Disclaimer / up-front apology. This has less to do with Calc specifically, and more to do with the goal, but I'm putting it here in Calc rather than General, because it seemed more suited to ask of formulators and number-crunchers.
I'm also just soliciting ideas about defining what my goal is, since all I have at this point is the impression of the goal.
It seems / is insane, but it touches on some interesting aspects of big data, databases, statistics, set theory, and probably some obscure branch of mathematics that I've yet to even hear about.
After you read this, check out the link below and maybe it will seem less insane
https://medium.com/@penguinpress/an-exc ... 4e708cfc3d
The final goal is this: take a digital photograph, which has the possibility of being represented with any of the 256^3 rgb values, and subtract from that universal color palette set the palette actually used to represent the image.
You are now left with the _complementary_ set of values of the color set. All of the values that _weren't_ used.
Is there a way to now implement a representation of the original image using this complementary color palette?
I'm thinking that if you had a monochrome image made from middle-gray up to white, and had to represented it with black to middle-gray, that would just be a shift. If you deleted alternate / every other value - you could use the remaining values to "fill-in" the empty values.
So in my mind, I sort of see the left-over color values as an uninflated balloon, that can somehow be stretched out to inflate and occupy the vacuum left by the original color palette.
Except this is a discontinuous balloon in a 3D rgb cube, or an HSV cylinder, or ....
I just thought this was a fun idea, and might provide an interesting topic to explore.
If there was enough development of an interpolation method, I might be able to implement it and provide a few real life examples of the results.
I'm also just soliciting ideas about defining what my goal is, since all I have at this point is the impression of the goal.
It seems / is insane, but it touches on some interesting aspects of big data, databases, statistics, set theory, and probably some obscure branch of mathematics that I've yet to even hear about.
After you read this, check out the link below and maybe it will seem less insane
https://medium.com/@penguinpress/an-exc ... 4e708cfc3d
The final goal is this: take a digital photograph, which has the possibility of being represented with any of the 256^3 rgb values, and subtract from that universal color palette set the palette actually used to represent the image.
You are now left with the _complementary_ set of values of the color set. All of the values that _weren't_ used.
Is there a way to now implement a representation of the original image using this complementary color palette?
I'm thinking that if you had a monochrome image made from middle-gray up to white, and had to represented it with black to middle-gray, that would just be a shift. If you deleted alternate / every other value - you could use the remaining values to "fill-in" the empty values.
So in my mind, I sort of see the left-over color values as an uninflated balloon, that can somehow be stretched out to inflate and occupy the vacuum left by the original color palette.
Except this is a discontinuous balloon in a 3D rgb cube, or an HSV cylinder, or ....
I just thought this was a fun idea, and might provide an interesting topic to explore.
If there was enough development of an interpolation method, I might be able to implement it and provide a few real life examples of the results.