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Aug 4, 2017 at 8:44 comment added uhoh This answer contains some particularly important points. The physical nature of the blurring process can often make information (essentially) impossible to recover. Noise and pixellation are two examples, so would be loss of the illumination edges for the images, making deconvolution impossible.
Aug 3, 2017 at 5:17 comment added Derek Elkins left SE One of the more interesting ways to "guess" is to use compressive (aka compressed) sensing. When the assumptions are met, which is to say the original input is sparse in the relevant domain, the results are often unbelievable. The first hit I got googling "compressive sensing deblur" illustrates this in a non-blind case. There are also blind deconvolution approaches such as this with a familiar image.
Aug 2, 2017 at 15:37 comment added Baldrickk Just to note, that some of those guesses can be hillariously wrong (search for google deepmind images for intentional changes like this) or surprisingly accurate. Or both. It can be hard to tell sometimes.
Aug 2, 2017 at 8:38 history answered stafusa CC BY-SA 3.0