Computational geometry on the OTIS-Mesh optoelectronic computer

We develop efficient algorithms for problems in computational geometry-convex hull, smallest enclosing box, ECDF two-set dominance, maximal points, all-nearest neighbor and closest-pair-on the OTIS-Mesh optoelectronic computer We also demonstrate the algorithms for computing convex hull and prefix sum with condition on a multi-dimensional mesh, which are used to compute convex hull and ECDF respectively. We show that all these problems can be solved in O(√N) time even with N² inputs.