Unshake
Unshake analyses correspondences between nearby points in a picture, and if it finds more similarity between points than it expects, it deduces what went wrong with the image and "deconvolves" it, that is, it works out what the original scene looked like. Note for amateur astronomers: Versions of Unshake which I have released to date are tuned to work on photographs of Earth (people, scenery etc.), not on astronomical photographs, though they might work on pictures of planets. Unshake 1.4 has a good chance of deconvolving star-fields however, if you use the default "Estimate" setting, which will take account of the point-like nature of stars.
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