How to use SIFT for image comparison

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I recently stumbled upon a SIFT implementation for C#. I thought it would be great fun to play around with it, so that's what I did.

The implementation generates a set of "interest points" for any given image. How would I actually use this information to compare two images?

What I'm after is a single "value of similarity". Can that be generated out of the two sets of interest points of the two images?

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