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Feature detection of edges

Are there any feature detectors that do a good job of matching images that have previously had an edge detection algorithm run over them?

The context of this question is that I have two images which are x-rays of a person's mouth, but taken at different times, such that: a). the new angle of the x-ray is slightly different. b). the teeth may have moved/changed slightly.

I am planning to use feature detection to then get a homography which will allow me to twist the second image to align with the first, so that I can then compare them.

Here is one of the images after using Canny edge detection:


Thanks in advance for any suggestions of feature detectors, or any suggestions on how else I might approach this problem.