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Scaling of measures/ metrics 
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#1
Jul1404, 09:31 AM

P: 1

Hi to all,
my problem is the following: I have different different quality metrics which are able to assess image quality by investigating several parameters in an image. The problem with those metrics is their scale. Some of them range from 1 to 10 (10highest quality) some of them from 0 to 1, etc. I want to figure out how well those metrics correlate with assessments done by human subjects who judged the images on a scale from 1  5. how can I compare between the various scales? how can I rescale the mathematic metrics so that all of them range from 1 to 5? (so i can compare it to human judgement). Thanks a lot in advance Allen 


#2
Jul1604, 09:57 PM

P: 1,572

first, fix a universal metric (which is a term i just made up) that has a set range: 010 or 01 or 15. just pick one and then make the others conform to that via a formula that converts 010 to 15. these are all linear formulas of the form y=mx+b where x is the old scale and y is the new scale.
the case of transforming 010 to 15 or vice versa would go like this: two points are (0,1) and (10,5). (first scale first coordinatessecond scale second coordinates) the slope is (51)/(100)=4/10=.4. the yintercept is 1 (this is because we're given the point (0,1)). so the transformation is y=.4x+1. for example, a 2 on the 110 scale is a .4(2)+1=1.8 on the 15 scale. a 10 on the 010 scale is a .4(10)+1=5 of the 15 scale. etc. 


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