Reverse nearest neighbor queries in fixed dimension
نویسندگان
چکیده
Reverse nearest neighbor queries are defined as follows: Given an input point-set P , and a query point q, find all the points p in P whose nearest point in P ∪ {q} \ {p} is q. We give a data structure to answer reverse nearest neighbor queries in fixed-dimensional Euclidean space. Our data structure uses O(n) space, its preprocessing time is O(n log n), and its query time is O(log n).
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ar X iv : 0 90 5 . 44 41 v 1 [ cs . C G ] 2 7 M ay 2 00 9 Reverse nearest neighbor queries in fixed dimension ∗
Reverse nearest neighbor queries are defined as follows: Given an input point-set P , and a query point q, find all the points p in P whose nearest point in P ∪ {q} \ {p} is q. We give a data structure to answer reverse nearest neighbor queries in fixed-dimensional Euclidean space. Our data structure uses O(n) space, its preprocessing time is O(n log n), and its query time is O(log n).
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ورودعنوان ژورنال:
- Int. J. Comput. Geometry Appl.
دوره 21 شماره
صفحات -
تاریخ انتشار 2011