{"citation":{"mla":"Edelsbrunner, Herbert, and Emo Welzl. “Halfplanar Range Search in Linear Space and O(N0.695) Query Time.” Information Processing Letters, vol. 23, no. 5, Elsevier, 1986, pp. 289–93, doi:10.1016/0020-0190(86)90088-8.","ista":"Edelsbrunner H, Welzl E. 1986. Halfplanar range search in linear space and O(n0.695) query time. Information Processing Letters. 23(5), 289–293.","chicago":"Edelsbrunner, Herbert, and Emo Welzl. “Halfplanar Range Search in Linear Space and O(N0.695) Query Time.” Information Processing Letters. Elsevier, 1986. https://doi.org/10.1016/0020-0190(86)90088-8.","ama":"Edelsbrunner H, Welzl E. Halfplanar range search in linear space and O(n0.695) query time. Information Processing Letters. 1986;23(5):289-293. doi:10.1016/0020-0190(86)90088-8","ieee":"H. Edelsbrunner and E. Welzl, “Halfplanar range search in linear space and O(n0.695) query time,” Information Processing Letters, vol. 23, no. 5. Elsevier, pp. 289–293, 1986.","apa":"Edelsbrunner, H., & Welzl, E. (1986). Halfplanar range search in linear space and O(n0.695) query time. Information Processing Letters. Elsevier. https://doi.org/10.1016/0020-0190(86)90088-8","short":"H. Edelsbrunner, E. Welzl, Information Processing Letters 23 (1986) 289–293."},"acknowledgement":"We thank W. Bucher for help in the analysis of the time complexity of the query algorithm. ","quality_controlled":"1","day":"24","doi":"10.1016/0020-0190(86)90088-8","date_updated":"2022-02-01T14:17:10Z","volume":23,"publication_identifier":{"eissn":["1872-6119"],"issn":["0020-0190"]},"publist_id":"2021","article_type":"original","year":"1986","_id":"4099","author":[{"full_name":"Edelsbrunner, Herbert","last_name":"Edelsbrunner","orcid":"0000-0002-9823-6833","first_name":"Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Emo","full_name":"Welzl, Emo","last_name":"Welzl"}],"publication":"Information Processing Letters","extern":"1","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","month":"11","title":"Halfplanar range search in linear space and O(n0.695) query time","issue":"5","date_created":"2018-12-11T12:06:56Z","oa_version":"None","language":[{"iso":"eng"}],"type":"journal_article","date_published":"1986-11-24T00:00:00Z","publisher":"Elsevier","page":"289 - 293","publication_status":"published","status":"public","article_processing_charge":"No","abstract":[{"text":"Let S denote a set of n points in the Euclidean plane. A halfplanar range query specifies a halfplane h and requires the determination of the number of points in S which are contained in h. A new data structure is described which stores S in O(n) space and allows us to answer a halfplanar range query in O(nlog2(1+√5)−1) time in the worst case, thus improving the best result known before. The structure can be built in O(n log n) time.","lang":"eng"}],"intvolume":" 23"}