{"links":{},"metadata":{"_oai":{"id":"oai:ipsj.ixsq.nii.ac.jp:00032619","sets":["1164:2592:2714:2716"]},"path":["2716"],"owner":"1","recid":"32619","title":["Beneath - Beyond定理の改良と動的凸包算法"],"pubdate":{"attribute_name":"公開日","attribute_value":"1990-09-28"},"_buckets":{"deposit":"f8c47f36-48e3-4832-a8ee-ca9bc92d5b8f"},"_deposit":{"id":"32619","pid":{"type":"depid","value":"32619","revision_id":0},"owners":[1],"status":"published","created_by":1},"item_title":"Beneath - Beyond定理の改良と動的凸包算法","author_link":["0","0"],"item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Beneath - Beyond定理の改良と動的凸包算法"},{"subitem_title":"Complement of Beneath - Beyond Theorem and Dynamic Convex Hull Maintenance","subitem_title_language":"en"}]},"item_type_id":"4","publish_date":"1990-09-28","item_4_text_3":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"神戸大学工学部電子工学科"},{"subitem_text_value":"神戸大学工学部電子工学科"},{"subitem_text_value":"神戸大学工学部電子工学科"}]},"item_4_text_4":{"attribute_name":"著者所属(英)","attribute_value_mlt":[{"subitem_text_value":"Department of Electronics Engineering Faculty of Engineering, Kobe University","subitem_text_language":"en"},{"subitem_text_value":"Department of Electronics Engineering Faculty of Engineering, Kobe University","subitem_text_language":"en"},{"subitem_text_value":"Department of Electronics Engineering Faculty of Engineering, Kobe University","subitem_text_language":"en"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"item_publisher":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"情報処理学会","subitem_publisher_language":"ja"}]},"publish_status":"0","weko_shared_id":-1,"item_file_price":{"attribute_name":"Billing file","attribute_type":"file","attribute_value_mlt":[{"url":{"url":"https://ipsj.ixsq.nii.ac.jp/record/32619/files/IPSJ-AL90017004.pdf"},"date":[{"dateType":"Available","dateValue":"1992-09-28"}],"format":"application/pdf","billing":["billing_file"],"filename":"IPSJ-AL90017004.pdf","filesize":[{"value":"1.6 MB"}],"mimetype":"application/pdf","priceinfo":[{"tax":["include_tax"],"price":"660","billingrole":"5"},{"tax":["include_tax"],"price":"330","billingrole":"6"},{"tax":["include_tax"],"price":"0","billingrole":"9"},{"tax":["include_tax"],"price":"0","billingrole":"44"}],"accessrole":"open_date","version_id":"bccf92dc-cd89-46ab-baa3-f55249507778","displaytype":"detail","licensetype":"license_note","license_note":"Copyright (c) 1990 by the Information Processing Society of Japan"}]},"item_4_creator_5":{"attribute_name":"著者名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"?磊"},{"creatorName":"太田有三"},{"creatorName":"羽根田, 博正"}],"nameIdentifiers":[{}]}]},"item_4_creator_6":{"attribute_name":"著者名(英)","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Lei, Gong","creatorNameLang":"en"},{"creatorName":"Yuzo, Ohta","creatorNameLang":"en"},{"creatorName":"Hiromasa, Haneda","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_4_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN1009593X","subitem_source_identifier_type":"NCID"}]},"item_4_textarea_12":{"attribute_name":"Notice","attribute_value_mlt":[{"subitem_textarea_value":"SIG Technical Reports are nonrefereed and hence may later appear in any journals, conferences, symposia, etc."}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourceuri":"http://purl.org/coar/resource_type/c_18gh","resourcetype":"technical report"}]},"item_4_description_7":{"attribute_name":"論文抄録","attribute_value_mlt":[{"subitem_description":"本報告では，Beneath?Beyond定理の改良とそれに基づいた動的凸包算法について述べている．多次元の凸包問題の動的凸包算法としては，Beneath?Beyond法が提案されている．この方法はその理論的根拠を，Beneath?Beyond定理においているが，定理そのものが縮退を生ずる場合（新しく追加される点が現在の凸多面体の支持超平面の1つまたは幾つかに含まれる場合）には，完全でない．そのため，縮退を生ずる場合には，Beneath?Beyond法も正しく働かない．本報告では，まず，Beneath?Beyond定理において，完全でなかった場合を補完し，定理の改良を行っている．そして，インプリメントにおいて有用ないくつかの結果を導出し，それらに基づいた動的凸包算法を提案している．","subitem_description_type":"Other"}]},"item_4_description_8":{"attribute_name":"論文抄録(英)","attribute_value_mlt":[{"subitem_description":"The purpose of this paper is to show the complement of so called Beneath-Beyond Theorem and to propose a dynamic convex hull maintenance method. The beneath-beyond method is well known as one of the dynamic convex hull maintenance methods, which based on Beneath-Beyond Theorem. In case that the degeneracy (we means that the point to be added to the current polytope belongs to supporting hyperplanes) occurs, Beneath-Beyond Theorem is incorrect. A missed case is complemented to Beneath-Beyond Theorem. Moreover, several useful results relating the implementation of beneath-beyond method are derived. An algorithm based on these obatined results is presented.","subitem_description_type":"Other"}]},"item_4_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicPageEnd":"34","bibliographic_titles":[{"bibliographic_title":"情報処理学会研究報告アルゴリズム（AL）"}],"bibliographicPageStart":"25","bibliographicIssueDates":{"bibliographicIssueDate":"1990-09-28","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"79(1990-AL-017)","bibliographicVolumeNumber":"1990"}]},"relation_version_is_last":true,"weko_creator_id":"1"},"created":"2025-01-18T23:01:39.845526+00:00","updated":"2025-01-22T16:05:26.261587+00:00","id":32619}