Closest Pair: A Plane Sweep Algorithm



In section 3 , we explored an algorithm for determining the closest pair of a set of points in the plane. We used a divide-and-conquer approach which we generalized from one-dimension in order to solve the problem. Here we will discuss another O(nlogn) that attacks the problem in a different way. Once again, we are given a set S of n points in the plane, but this time we shall attempt to use the plane sweep technique. We sweep a vertical line across the set from left to right keeping track of the closest pair seen so far. We shall describe an O(nlogn) algorithm,

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