Any scale up interpolation to do this (see image)?

I am sure this is not possible or very hard to achieve, but I was wondering if some one has developed a script to create nicer scaled up sprites as shown in the image.
I tried all three interpolation methods. Nearrest-neighbor works as expected but it would be cool if there was an interpolation method that “magically” (probably machine learning) could do something like the 200% desired from the image bellow (I did that manually of course)

i dont think theres a formula for this much less a true and tested method ,and if there is it sure will not be possible ot replicate in LUA.

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ok, no prob. I thought that might be the case but asked just in case.