An Optimal Algorithm for the Farthest Pair Problem of a Point Set
QU JiLin1,2, KOU JiSong1, LI MinQiang1
Institute of System Engineering, Tianjin University, Tianjin 300072 Department of Computer Science and Engineering, Shandong University of Finance, Jinan 250014
Abstract:An optimal algorithm for the farthest pair problem is presented in this paper. Given a set of n points in the plane, this paper proposes a new method to find the antipodal pairs of the convex hull of the point set. Using this method, the farthest pair problem can be solved in O(nlogn) time.
曲吉林,寇纪淞,李敏强. 一种确定点集最远点对的最优算法[J]. 模式识别与人工智能, 2006, 19(1): 27-30.
QU JiLin, KOU JiSong, LI MinQiang. An Optimal Algorithm for the Farthest Pair Problem of a Point Set. , 2006, 19(1): 27-30.
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