Question about scanned pencil sketch manipulation

I'm working with a scanned pencil sketch that I would like to convert to a hairline vector image for laser cutting.  I know how to do this for the outline with the boundary tool, and that works great.  Is there a way to do the same for interior lines?  What I get now is a double line with fill, and I'm looking for a way to convert this to a single line without laboriously manipulating the individual nodes.  

Tooth Puzzle.cdr