Well, there's another neat thing that you can do if you want to generate an interesting 2D -> 2D representation:
* Take fourier transform of the image for each color R, G, B
* Randomly scramble the phase of the transformed image.
* Perform the fourier inverse of that scrambled phase image.
The result is another 2D image with the same colors AND spatial frequencies as the original image. It looks like you took the original photo and vaporized it into gas. Interesting.