Geometric data structures on a reconfigurable mesh, with applications

We present several geometric data structures and algorithms for problems for a planar set of rectangles and bipartitioning problems for a point set in two dimensions on a reconfigurable mesh of size n/spl times/n. The problems for rectangles include computing the measure, contour perimeter and maximum clique for the union of a set of rectangles. The bipartitioning problems for a two dimensional point set are solved in the L/sub /spl infin// and L/sub 1/ metrics. We solve all these problems in O(log n) time.