New upper bounds for neighbor searching

Q4 Mathematics 信息与控制 Pub Date : 1986-01-01 DOI:10.1016/S0019-9958(86)80030-4
B. Chazelle , R. Cole , F.P. Preparata , C. Yap
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引用次数: 19

Abstract

This paper investigates the circular retrieval problem and the k-nearest neighbor problem, for sets of n points in the Euclidean plane. Two similar data structures each solve both problems. A deterministic structure uses space O(n(log n log log n)2), and a probabilistic structure uses space O(n log2 n). For both problems, these two structures answer a query that returns k points in O(k + log n) time.

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新的邻居搜索的上界
本文研究了欧几里德平面上n个点的集合的圆检索问题和k近邻问题。两个类似的数据结构各自解决了这两个问题。确定性结构使用空间O(n(log n log n)2),概率结构使用空间O(n log2n)。对于这两个问题,这两种结构在O(k + log n)时间内回答一个返回k个点的查询。
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来源期刊
信息与控制
信息与控制 Mathematics-Control and Optimization
CiteScore
1.50
自引率
0.00%
发文量
4623
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