求解以凸面为界区域的范围搜索问题

V. Tereshchenko, O. Socolov, Andriy Fisunenko
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引用次数: 0

摘要

本文研究欧几里德d维空间中以凸曲面为界的范围搜索问题的一种求解方法。特别地,我们提出了一种范围搜索方法,该方法给出了查询时间O(logN),并使用O(NlogN)内存,其中N是输入数据集的基数。它是通过应用最优数据结构来在四叉树的节点中存储点来实现的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Solving the Range Searching Problem for Region Bounded by a Convex Surface
In this paper we consider one of the approaches to solving the range searching problem for a range which is bounded by a convex surface in Euclidean d-dimensional space. In particular, we propose a method of range searching which gives query time O(logN) and uses O(NlogN) memory where N is cardinality of an input data set. It is enabled by applying optimal data structures for storing points in nodes of a quadtree.
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