Is anyone saying that the technique is not possible, or an isolated effort? I think the naysaying is about how well it works, not that it does not exist. In context to the specific work, down-sampling is not very relevant to the objectives. What they are really after is an accurate up-sampling, or more aptly, interpolation of estimated, missing information. In a practical application, one would start with an image with deficient resolution and try to fill in more pixels with some information from neighboring pixels. I read the paper, and down-sampling and Nyquist frequency hardly gets at what they are doing. My take-away is that their main contribution was getting away from a pixel-wise mean-squared error approach that is commonly used but does not yield very accurate results. Their method is quite impressive, but still, I wonder if it would be good enough in say a court of law where someone's life depended on a truthful image reconstruction.
The research is a reality, but the image reconstructions do not match reality, although they come close sometimes.
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