Title
Finding the maximal empty disk containing a query point
Abstract
Let P be a set of n points in the plane. We present an efficient algorithm for preprocessing P, so that, for a given query point q, we can quickly report the largest disk that contains q but its interior is disjoint from P. The storage required by the data structure is O(n log n), the preprocessing cost is O(n log2n), and a query takes O(log2n) time.
Year
DOI
Venue
2012
10.1145/2261250.2261292
Symposium on Computational Geometry 2013
Keywords
Field
DocType
maximal empty disk,data structure,n log2n,efficient algorithm,preprocessing p,largest disk,query point q,n log n,preprocessing cost,n point,data structures,algorithms,computational geometry
Discrete mathematics,Data structure,Combinatorics,Disjoint sets,Computational geometry,Preprocessor,Time complexity,Mathematics
Conference
Citations 
PageRank 
References 
8
0.71
5
Authors
2
Name
Order
Citations
PageRank
Haim Kaplan13581263.96
Micha Sharir284051183.84