Title
Finding The Largest 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 log(2) n), and a query takes O(log(2) n) time. We also present an alternative solution with an improved query cost and with slightly worse storage and preprocessing requirements.
Year
DOI
Venue
2013
10.1142/S021819591360008X
INTERNATIONAL JOURNAL OF COMPUTATIONAL GEOMETRY & APPLICATIONS
DocType
Volume
Issue
Journal
23
4-5
ISSN
Citations 
PageRank 
0218-1959
0
0.34
References 
Authors
3
2
Name
Order
Citations
PageRank
Haim Kaplan13581263.96
Micha Sharir284051183.84