When you darn, you are essentially reweaving the textile
What you do is a row of stitches in one direction, and then weave the next row through those (under, over, under, over, so on) in the perpendicular direction. (from Craftzine http://blog.craftzine.com/archive/2009/03/darn_it.html)
So, now I have a pair of custom Adidas Campus II's. Cool!