In this paper we consider the followign covering problem. Given a set S of n points in d-dimensional space, d≥2, find two axis-parallel boxes that together cover the set S such that the measure iof the largest box is minimized, where the measure is a monotone function of the box. We present a simple algorithm for finding boxes in O(n log n+n~d-1) time and and O(n) space.
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机译:在本文中,我们考虑了后续覆盖问题。给定d维空间中d个点的集合S,d≥2,找到两个轴平行的盒子,它们一起覆盖了集合S,从而最大盒子的度量i最小化,其中度量是盒子的单调函数。我们提出了一种在O(n log n + n〜d-1)时间和O(n)空间中寻找盒子的简单算法。
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