To summarize:
Quality metrics generally are error metrics: You compare a result image with a same size "reference" image, assumed to be "perfect".
So, if you want to estimate the corruption when downsizing, you need to either have 1) a (good approximation of a) reference image of the same size as the reduced image, or 2) you need to re-enlarge the reduced version back to the original size and compare.
If all you have is a full size reference image, you're stuck, because what you'll end up measuring is either 1) how well your downsampling method matches the output of whatever method you used to produce the smaller size "reference" (in which case the winner among all methods is automatically the method you used to produce the smaller size "reference"!) or 2) how well your downsampling method matches your upsampling (enlargement) method. (There is yet a third approach, which involves resizing both the original and the reduced image to a different common size.)
1) is pointless (we know the winner from the get go). 2) depends very strongly on the method chosen to re-enlarge; however, because there is even less agreement regarding what the "best" enlargement method that what the "best" reduction method is, the result of 2) depends on an answer for which there is even less of a consensus than for the original question!
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This being said, there is a simple answer to your implicit question: What is the best filter for downsizing?
A commercial client of mine, among a small collection of suggested methods for downsizing to produce thumbnails which are then heavily (but carefully) jpeg compressed, chose (with his team: this comes from a consensus-run business) the default -distort resize method. So, my totally unbiased advice is: Just use
Code: Select all
convert big.png -distort resize 50% small.png
http://www.imagemagick.org/Usage/distorts/#resize
(Of course, the default -distort resize method is the Robidoux filter, a filter that I do not particularly like. But it seems to be pretty balanced when downsizing, and its results JPEG compress pretty well so OK...)
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P.S. Wise words from my father:
Trust me: Don't trust anyone who begins a sentence with "Trust me".