Earlier quoted context omitted.
>a Gaussian blur is easy to reverse That's the most surprising thing I've read today. I assumed it was destructive.
It's lossy, but not destructive, and a 'sharpen' operation is technically the same as blur but in reverse. So you won't end up pixel-perfect after doing an 'unblur' but you will be able to make out more than you could before.
Eg knowing that the input was black text on white background or a natural image (instead of eg white noise) helps a lot.