Neighborhood property of OTIS-mesh optoelectronic computer

It is well known that 4 or 8-neighborhood property has an important role in many algorithms, for example, image processing, solving partial differential equation (PDE) etc. In this paper, we establish these properties on an OTIS-Mesh, an optoelectronic parallel computer. We show that these properties can be established in constant time with the help of a new indexing scheme called processor data index (PDI), proposed in this paper.