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http://hdl.handle.net/1942/23453
Title: | A Dynamic Data Structure to Efficiently Find the Points below a Line and Estimate Their Number | Authors: | KUIJPERS, Bart Revesz, Peter Z. |
Issue Date: | 2017 | Source: | ISPRS International Journal of Geo-Information, 6(3) (Art N° 82) | Abstract: | A basic question in computational geometry is how to find the relationship between a set of points and a line in a real plane. In this paper, we present multidimensional data structures for N points that allow answering the following queries for any given input line: (1) estimate in O(log N) time the number of points below the line; (2) return in O(log N + k) time the k ≤ N points that are below the line; and (3) return in O(log N) time the point that is closest to the line. We illustrate the utility of this computational question with GIS applications in air defense and traffic control. | Notes: | Kuijpers, B (reprint author), UHasselt Hasselt Univ, B-3590 Diepenbeek, Belgium. bart.kuijpers@uhasselt.be; revesz@cse.unl.edu | Keywords: | spatial data structures; point location queries; nearest point queries; selectivity estimation | Document URI: | http://hdl.handle.net/1942/23453 | e-ISSN: | 2220-9964 | DOI: | 10.3390/ijgi6030082 | ISI #: | 000398732200025 | Rights: | ISPRS International Journal of Geo-Information is an open access journal. | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2018 |
Appears in Collections: | Research publications |
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ijgi-06-00082.pdf | Published version | 524.61 kB | Adobe PDF | View/Open |
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