benoli. I believe you are referring to taking a board, and making it thinner. Such as holding a 2 x 4 on its edge and sawing thru 4" (ok 3.5") of stock so you end up with a piece that you can use. This is often done to start a lamination. For some, this is ALL that is done to make a parallel lamination.
It is, in my mind, a difficult thing to do on a band saw.. not so much in terms of your skill, but of the band saws capabilities to make a good straight cut thru that much wood.
If you are gonna spend the money on a band saw, may as well be able to re-saw at least 2" of board so you can make laminations.
ChuckC