This is a follow up to the OCR question I had earlier.
What I want to do is to use Thinning to create "skeletons" of images of characters and then compare their shapes, utilizing such properties as the slopes/lengths of the edges. The problem is however that I have not been able so far to access the graph Thinning produces. MorphologicalGraph is what I have found in the documentation but this removes a lot of information. And for comparing graphs so far I only have found IsomorphicGraphQ which doesn't seem to offer much customization (tolerances for matching).
The code below demonstrates the problem I have with my current approach. Because MorphologicalGraph reduces the Thinned images to a very similar shape for all these characters, the code will deem a "C" character similar to "I" and "S":
Graphize[u_] := MorphologicalGraph@Thinning@ColorNegate[Import[u]] whichQ = Graphize["http://i.imgur.com/2Fxyh.gif"] (* C *) i = Graphize["http://i.imgur.com/SPp7R.gif"] (* I *) c = Graphize["http://i.imgur.com/SeXA7.gif"] (* C *) s = Graphize["http://i.imgur.com/aguQ6.gif"] (* S *) IsomorphicGraphQ[whichQ, i] (* -> True *) IsomorphicGraphQ[whichQ, c] (* -> True *) IsomorphicGraphQ[whichQ, s] (* -> True *)