{"volume":21,"abstract":[{"text":"This paper describes an optimal solution for the following geometric search problem defined for a set P of n points in three dimensions: Given a plane h with all points of P on one side and a line ℓ in h, determine a point of P that is hit first when h is rotated around ℓ. The solution takes O(n) space and O(log n) time for a query. By use of geometric transforms, the post-office problem for a finite set of points in two dimensions and certain two-dimensional point location problems are reduced to the former problem and thus also optimally solved.","lang":"eng"}],"date_created":"2018-12-11T12:07:00Z","publication":"Information Processing Letters","language":[{"iso":"eng"}],"publication_status":"published","scopus_import":"1","_id":"4111","day":"10","publisher":"Elsevier","article_processing_charge":"No","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","date_updated":"2022-01-31T12:49:12Z","publist_id":"2009","oa_version":"None","author":[{"last_name":"Edelsbrunner","orcid":"0000-0002-9823-6833","first_name":"Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","full_name":"Edelsbrunner, Herbert"},{"last_name":"Maurer","first_name":"Hermann","full_name":"Maurer, Hermann"}],"status":"public","acknowledgement":"Research reported in this paper was partially supported by the Austrian Fonds zur Förderung tier wissenschaftlichen\r\nForschung. \r\n","issue":"1","article_type":"original","page":"39 - 47","doi":"10.1016/0020-0190(85)90107-3","type":"journal_article","extern":"1","date_published":"1985-07-10T00:00:00Z","citation":{"chicago":"Edelsbrunner, Herbert, and Hermann Maurer. “Finding Extreme-Points in 3-Dimensions and Solving the Post-Office Problem in the Plane.” <i>Information Processing Letters</i>. Elsevier, 1985. <a href=\"https://doi.org/10.1016/0020-0190(85)90107-3\">https://doi.org/10.1016/0020-0190(85)90107-3</a>.","apa":"Edelsbrunner, H., &#38; Maurer, H. (1985). Finding extreme-points in 3-dimensions and solving the post-office problem in the plane. <i>Information Processing Letters</i>. Elsevier. <a href=\"https://doi.org/10.1016/0020-0190(85)90107-3\">https://doi.org/10.1016/0020-0190(85)90107-3</a>","ista":"Edelsbrunner H, Maurer H. 1985. Finding extreme-points in 3-dimensions and solving the post-office problem in the plane. Information Processing Letters. 21(1), 39–47.","short":"H. Edelsbrunner, H. Maurer, Information Processing Letters 21 (1985) 39–47.","mla":"Edelsbrunner, Herbert, and Hermann Maurer. “Finding Extreme-Points in 3-Dimensions and Solving the Post-Office Problem in the Plane.” <i>Information Processing Letters</i>, vol. 21, no. 1, Elsevier, 1985, pp. 39–47, doi:<a href=\"https://doi.org/10.1016/0020-0190(85)90107-3\">10.1016/0020-0190(85)90107-3</a>.","ama":"Edelsbrunner H, Maurer H. Finding extreme-points in 3-dimensions and solving the post-office problem in the plane. <i>Information Processing Letters</i>. 1985;21(1):39-47. doi:<a href=\"https://doi.org/10.1016/0020-0190(85)90107-3\">10.1016/0020-0190(85)90107-3</a>","ieee":"H. Edelsbrunner and H. Maurer, “Finding extreme-points in 3-dimensions and solving the post-office problem in the plane,” <i>Information Processing Letters</i>, vol. 21, no. 1. Elsevier, pp. 39–47, 1985."},"intvolume":"        21","quality_controlled":"1","title":"Finding extreme-points in 3-dimensions and solving the post-office problem in the plane","publication_identifier":{"issn":["0020-0190"],"eissn":["1872-6119"]},"year":"1985","month":"07"}