  A systematic procedure is presented for connecting short to long scales in
LGT. Approximate decimations are used which can provide both upper and lower
bounds on the partition function. Its exact value is then obtained by
interpolation between the bounds. By iterating the procedure representations of
the partition function as well as other physical quantities can be obtained on
progressively coarser lattices. For SU(2) IR flow into the confining strong
coupling regime results for any initial $\beta$.
