{"quality_controlled":"1","date_updated":"2022-01-31T10:44:41Z","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","publication_status":"published","month":"06","day":"01","oa_version":"None","abstract":[{"text":"A polygon in the plane is convex if it contains all line segments connecting any two of its points. Let P and Q denote two convex polygons. The computational complexity of finding the minimum and maximum distance possible between two points p in P and q in Q is studied. An algorithm is described that determines the minimum distance (together with points p and q that realize it) in O(logm + logn) time, where m and n denote the number of vertices of P and Q, respectively. This is optimal in the worst case. For computing the maximum distance, a lower bound Ω(m + n) is proved. This bound is also shown to be best possible by establishing an upper bound of O(m + n).","lang":"eng"}],"date_published":"1985-06-01T00:00:00Z","citation":{"apa":"Edelsbrunner, H. (1985). Computing the extreme distances between two convex polygons. <i>Journal of Algorithms</i>. Academic Press. <a href=\"https://doi.org/10.1016/0196-6774(85)90039-2\">https://doi.org/10.1016/0196-6774(85)90039-2</a>","ieee":"H. Edelsbrunner, “Computing the extreme distances between two convex polygons,” <i>Journal of Algorithms</i>, vol. 6, no. 2. Academic Press, pp. 213–224, 1985.","ista":"Edelsbrunner H. 1985. Computing the extreme distances between two convex polygons. Journal of Algorithms. 6(2), 213–224.","mla":"Edelsbrunner, Herbert. “Computing the Extreme Distances between Two Convex Polygons.” <i>Journal of Algorithms</i>, vol. 6, no. 2, Academic Press, 1985, pp. 213–24, doi:<a href=\"https://doi.org/10.1016/0196-6774(85)90039-2\">10.1016/0196-6774(85)90039-2</a>.","ama":"Edelsbrunner H. Computing the extreme distances between two convex polygons. <i>Journal of Algorithms</i>. 1985;6(2):213-224. doi:<a href=\"https://doi.org/10.1016/0196-6774(85)90039-2\">10.1016/0196-6774(85)90039-2</a>","short":"H. Edelsbrunner, Journal of Algorithms 6 (1985) 213–224.","chicago":"Edelsbrunner, Herbert. “Computing the Extreme Distances between Two Convex Polygons.” <i>Journal of Algorithms</i>. Academic Press, 1985. <a href=\"https://doi.org/10.1016/0196-6774(85)90039-2\">https://doi.org/10.1016/0196-6774(85)90039-2</a>."},"type":"journal_article","publication_identifier":{"eissn":["1090-2678"],"issn":["0196-6774"]},"volume":6,"article_processing_charge":"No","year":"1985","issue":"2","publist_id":"2007","page":"213 - 224","doi":"10.1016/0196-6774(85)90039-2","language":[{"iso":"eng"}],"extern":"1","_id":"4115","scopus_import":"1","status":"public","title":"Computing the extreme distances between two convex polygons","date_created":"2018-12-11T12:07:01Z","publication":"Journal of Algorithms","author":[{"first_name":"Herbert","orcid":"0000-0002-9823-6833","full_name":"Edelsbrunner, Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","last_name":"Edelsbrunner"}],"publisher":"Academic Press","article_type":"original","intvolume":"         6"}