This question already has an answer here: Is it possible to blur an image in suc

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Is it possible to blur an image in such way that a person with sight problems could see it sharp? 7 answers

I think it would be neat if one could configure one's eyesight parameters (astigmatism and myopia in my case), viewing distance, and perhaps age into a special display driver, such that a computer would present its user interface distorted (from the view of a normal-sighted person) in such a way that the bad eye, by applying its own "distortion", would essentially un-distort it so that the brain would receive a sharp view without the need for physical glasses or lenses.

I suspect though that this is not possible partly on grounds of limited information. If the error in eyesight would be linear (e.g. shift to the left or enlargement) an appropriate distortion seems trivial. But a realistic error (hence a realistic distortion) would lead to a situation where several image points get mixed into the same "pixel" (in the physical eye this would mean: hit the same receptor), and disentangling those would require a-priori knowledge about original image, which is not always available (could be available for regular window shapes, or moving images -- this may lead to headache :) It's strange though, because my glasses are simple physical devices that a computer should be able to simulate, but perhaps not in the limited confines of the 2D surface of its display.

Now all of this is just a hunch and my question is this: is there a straightforward answer for what kinds of "invertible" distortions (in a mathematical sense) the imagined apparatus could work, and has the problem ever been formalized in a better way?

Explanation / Answer

Unless you deal with holograms, all displays we are observing follow the laws of ray optics. So the display has some specific location

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