Hi Ernst,
The link you gave is interesting, but does not give much detail. However, it appears it is designed to work more with, if you like, information randomly selected, and makes an 'educated' guess at filling in the missing pieces for the rest of it. A bit like weather forecasting in the UK
. Referring to their link on sparcity it states -
Compressive sensing is a new field which has seen enormous interest and growth. Quite surprisingly, it predicts that sparse high-dimensional signals can be recovered efficiently from what was previously considered highly incomplete measurements.
I have the feeling it is useful where much less data is available, and that data is not spread evenly over the image area, compared to the sort of high density infomation available in our current digital images. It may be useful, however, I suspect, if in some way the image was damaged, by perhaps a great number of the pixels being missed out, on specific types of image, depending where the damaged area was. But that is what the 'clone stamp tool' and others are used for. The example they showed, was sort of reversed engineered in photoshop, afaik, and I do not think the compressed sensing technique would actually work too well on that type of noise. There already exists good techniques for reducing noise in images. I tend to think that the algorithm could end up enhancing the noise, instead of the fundamental image, but as one of the comments mentioned, it may work well in combination with other techniques.
I think the problems which we face with upsizing our images are different. However, for text, at first thought I imagined it managing anti-aliasing, but thinking on it further, it would need limiting somehow, since I could see the whole result being blurred, and there is no chance it could fill in missing letters.
Many folk seem to be satisfied with repetitive bicubic upsizing. In effect, I suppose that makes its own attempt at filling in missing data, possibly better than doing it with one hit.
Mind you, I am quite used to being wrong
Best wishes,
Ray
A bit more. In the original efforts, the scan, they knew the sort of image they were going to get. The test image - the phantom- was known, too. Both images vaguely similar. The detail they are recovering, is not that high, I think, compared to the detail in one of our landscapes. We will see where it goes.