Since there are artifacts near the edges on the letters both in the training and test data, perhaps I will use the results of edge.m to run nearest neighbor on. Here are examples of outputs of edge.m (the figures with black in the background).
Training data 'a':

Training data 'b':

Test data with edge.m run on the individual characters (after removing the leftover lines). Still needs some work.

And these were the original characters.

Another test data image:
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