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There are especial cases: blurring due to incorrect focus andblurring due to movement - and these very defects (which each of you knows very well, and which are very difficult torepair) were selected as the subject of this article. As for other image defects (noise, incorrect exposure,distortion), the humanity has learned how to correct them, any good photo editor has that tools.

Why is there almost no means for correction of blurring and defocusing (except unsharp mask) - maybe it is impossible todo this at all In fact, it is possible - development of a respective mathematical theory started approximately 70 yearsago, but like other algorithms of image processing, deblurring algorithms became wide-used just recently. So, below is acouple of pictures to demonstrate the WOW-effect:

I decided not to use well-known Lena, but just found my own picture ofVenice. The right image was really made from the left one, moreover, no optimization like 48-bit format (in this casethere will be almost 100% restoration of the source image) were used - there is just a regular PNG with syntetic blur onthe left side. The result is impressive... but in practice not everything is so good.

Let's start from afar. Many people think that blurring is an irreversible operation and the information in this case islost for good, because each pixel turns into a spot, everything mixes up, and in case of a big blur radius we will get aflat color all over the image. But it is not quite true - all the information just becomes redistributed in accordancewith some rules and can be definitely restored with certain assumptions. An exception is only borders of the image, thewidth of which is equal to the blur radius - no complete restoration is possible here.


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