As indicated in an earlier paper presented at this conference,(1) use of parallel Fourier optical pattern recognition techniques in conjunction with a final non-linear threshold allows rapid computation of sums and products in residue arithmetic. The coherence properties of the architecture reduce the number of non-linear elements to 2n-1 where n is the size of the radix. Incoherent point sources could also be used with the grating filters performing a holographic interconnect function, but, at the expense of requiring n2 non-linear elements. This expense is offset by allowing performance of any multi-level logic function, residue arithmetic being only one example of a multi-level logic function. This paper will describe an alternative technique to performing the desired n2 interconnect pattern which requires no lenses or filters, thereby significantly reducing the fabrication and alignment difficulties.