{"updated":"2025-01-23T00:51:32.816079+00:00","links":{},"id":14307,"created":"2025-01-18T22:48:09.515272+00:00","metadata":{"_oai":{"id":"oai:ipsj.ixsq.nii.ac.jp:00014307","sets":["581:768:780"]},"path":["780"],"owner":"1","recid":"14307","title":["3次元ボロノイ図構成のための数値的に安定な逐次添加法"],"pubdate":{"attribute_name":"公開日","attribute_value":"1994-01-15"},"_buckets":{"deposit":"f990726c-3849-4cd3-bc59-0797387c7a0c"},"_deposit":{"id":"14307","pid":{"type":"depid","value":"14307","revision_id":0},"owners":[1],"status":"published","created_by":1},"item_title":"3次元ボロノイ図構成のための数値的に安定な逐次添加法","author_link":["0","0"],"item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"3次元ボロノイ図構成のための数値的に安定な逐次添加法"},{"subitem_title":"Robust Algorithm for Incremental Construction of Three - Dimensional Voronoi Diagrams","subitem_title_language":"en"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"論文","subitem_subject_scheme":"Other"}]},"item_type_id":"2","publish_date":"1994-01-15","item_2_text_3":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"豊田工業高等専門学校情報工学科"},{"subitem_text_value":"東京大学工学部計数工学科"},{"subitem_text_value":"名古屋大学工学部情報工学科"}]},"item_2_text_4":{"attribute_name":"著者所属(英)","attribute_value_mlt":[{"subitem_text_value":"Department of Information and Computer Engineering, Toyota College of Technology","subitem_text_language":"en"},{"subitem_text_value":"Department of Mathematical Engineering and Information Physics, Faculty of Engineering, University of Tokyo","subitem_text_language":"en"},{"subitem_text_value":"Department of Information Engineering, Faculty of Engineering, Nagoya University","subitem_text_language":"en"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"jpn"}]},"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/14307/files/IPSJ-JNL3501001.pdf"},"date":[{"dateType":"Available","dateValue":"1996-01-15"}],"format":"application/pdf","billing":["billing_file"],"filename":"IPSJ-JNL3501001.pdf","filesize":[{"value":"1.1 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":"8"},{"tax":["include_tax"],"price":"0","billingrole":"44"}],"accessrole":"open_date","version_id":"4015ea77-0e37-4909-a629-322803065601","displaytype":"detail","licensetype":"license_note","license_note":"Copyright (c) 1994 by the Information Processing Society of Japan"}]},"item_2_creator_5":{"attribute_name":"著者名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"稲垣, 宏"},{"creatorName":"杉原, 厚吉"},{"creatorName":"杉江, 昇"}],"nameIdentifiers":[{}]}]},"item_2_creator_6":{"attribute_name":"著者名(英)","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Hiroshi, Inagaki","creatorNameLang":"en"},{"creatorName":"Kokichi, Sugihara","creatorNameLang":"en"},{"creatorName":"Noboru, Sugie","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_2_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN00116647","subitem_source_identifier_type":"NCID"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourceuri":"http://purl.org/coar/resource_type/c_6501","resourcetype":"journal article"}]},"item_2_source_id_11":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"1882-7764","subitem_source_identifier_type":"ISSN"}]},"item_2_description_7":{"attribute_name":"論文抄録","attribute_value_mlt":[{"subitem_description":"幾何図形を扱う効率のよいアルゴリズムが多く提案されているが、それらは数値誤差が発生しないという仮定のもとでのみ正しさが証明されたものであるため、計算機プログラムに翻訳すると計算誤差のために正しく動作しないことがある。本諭文では3次元ボロノイ図を対象とし、これを構成するアルゴリズムの数値的安定化を試みた。従来のアルゴリズムが破綻するのは、誤差を含んだ数値計算結果を信用し遇ぎるためであることを反省し、ここでは、計算誤差を含む数値判定より幾何図形の持つべき位相構造の保持を優先させた。本方針に基づいたアルゴリズムを設計し、それを実際に計算機ヘインプリメントして計算機実験によりその振舞いを観察した。その緒果、従来の算法ではほとんどの場合に処理が破綻をきたすような悪条件の入力に対しても、位相的に矛盾のない緒果が出力されることが確かめられ、その数値的安定性が実証された。","subitem_description_type":"Other"}]},"item_2_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicPageEnd":"10","bibliographic_titles":[{"bibliographic_title":"情報処理学会論文誌"}],"bibliographicPageStart":"1","bibliographicIssueDates":{"bibliographicIssueDate":"1994-01-15","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicVolumeNumber":"35"}]},"relation_version_is_last":true,"item_2_alternative_title_2":{"attribute_name":"その他タイトル","attribute_value_mlt":[{"subitem_alternative_title":"基礎理論"}]},"weko_creator_id":"1"}}