The answer to Is it possible to blur an image in such way that a person with sight problems could see it sharp? suggest that you cannot present a "counter blurred" out-of-focus image such that it appears sharp on the retina. These considerations should also apply the near-eye displays.
In a way the answer suggests, that the best possible image you can present on the screen is the original unblurred image. I find this hard to believe and certainly not exhaustive. First, it is not clear how you measure the quality of the retina image. What if I am willing to sacrifice contrast for sharpness?
In any case, I am intersted in a mathematically sound explanation of the phenomenon and under what circumstances (all?) the original unblurred image creates the best possible image on the retina, or of there are alternatives and their properties.