What statistical features can I use to distinguish these images?

I have two 25x25 pixel images that are quite similar:
except, image B has a white vertical line running parallel to the edge of the two objects, and image A does not. Are there any statistical tools that I could apply to both of these images to automatically tell me that this property exists?
I have tried histograms, FFT, and plain row-wise plotting of the pixel data, but I can't see what features to extract from this data in order to distinguish the images...
Thanks for your advice!

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Asked:

on 1 May 2012

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