What if you could do math on an image?

I was inspired by 3Blue1Brown’s video where he took the logarithm of a Droste art piece to convert it into an Escher-style artwork.

Every point on an image is corresponded with a complex number in the complex plane. Applying a function on every point on an initial image gives a new complex number, cooresponding to its position in the new image.

I was able to recreate Escher’s effect and more!