Technically yes. But you have to be careful - if you want the skeletons to match up at the seams, you have to make sure the overlap (overscan) is larger than the radius of any white area that's produced in the data -- basically the the 'skeletonization' thins out one pixel at every step, so with every iteration the 'effects' can travel one pixel far.

Basically you have to make sure that the overlap is larger than the number of iterations of the data, so it's a bit messy. In the meantime, our little sparse image library turned out to be pretty effective.