seanspotatobusiness said:
Is it possible to print something with an ordinary laser printer that is blurred in such a way that it can be seen clearly by someone who ordinarily requires a strong prescription to correct their eyesight but would appear a blurred mess to someone with normal eyesight?
No.
I used to work in photo printing - back in the days of chemicals and negatives and stone axes.
A lady came in and handed me a print of a blurred subject (it was blurred in the negative). She wanted me re-print it and "correct the blurriness". (After all, my machine can
make pictures blurry; why can't I just reverse the process?) No can do. The information from the scene is
gone; it's not there to be extracted.
On the flip-side, consider what would happen if we
could do that. If we could turn any blurry image into a sharp one, then
cameras would not need to focus at all. We could just take blurry pictures with our
lensless cameras and simply extract all the original data from them into a sharp picture!
Try an experiment to convince yourself. Draw a diagram with a few key points in it, and draw a simplified eye with focusing "lens" and image plane. See if you can draw some out-of-focus points that somehow cohere just right so that they make sharp-edged points on the image plane.
Keep in mind that you can't select which parts of the image plane
only receive certain rays from certain parts of the object.