In my ventures of programming some 3D utilities I have ran across a problem that I have never dealt with before, mech subdivisions. I have read up a little on them and have gained a better knowledge of how they work, although I am still a bit lost on the actual implementation. I believe I will eventually have to get a book on this subject, although is there any internet resources that would be a good start for me? Also if anyone has any experience in mesh subdivision, what have you found to be the fastest method for dealing with them?

http://graphics.stanford.edu/~kapu/sd/subdegwr.pdf

Where I am having problems at the moment is taking the polygon data I already have and making it into some mesh like form.