You could also sew narrow "sashing" (faux sashing?) over top of the existing seam lines. That would enclose the frayed seams, without reducing the size of the blocks. I would back the entire top, with a lightweight fabric, first. The new backing would take any stress, to the top, protecting the delicate fabric from pulling apart.
Last edited by Neesie; 10-25-2012 at 12:21 PM.