{"updated":"2025-01-22T16:26:53.958679+00:00","metadata":{"_oai":{"id":"oai:ipsj.ixsq.nii.ac.jp:00031872","sets":["1164:2592:2620:2625"]},"path":["2625"],"owner":"1","recid":"31872","title":["Voronoi図に基づく補間法の大域的連続性の向上"],"pubdate":{"attribute_name":"公開日","attribute_value":"2004-03-19"},"_buckets":{"deposit":"64c385e2-620a-4923-b74b-70179e7b3dd9"},"_deposit":{"id":"31872","pid":{"type":"depid","value":"31872","revision_id":0},"owners":[1],"status":"published","created_by":1},"item_title":"Voronoi図に基づく補間法の大域的連続性の向上","author_link":["0","0"],"item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Voronoi図に基づく補間法の大域的連続性の向上"},{"subitem_title":"Improving the Global Continuity of Voronoi - Based Interpolation","subitem_title_language":"en"}]},"item_type_id":"4","publish_date":"2004-03-19","item_4_text_3":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"群馬大学工学部情報工学科"},{"subitem_text_value":"東京大学大学院情報理工学系研究科数理情報学専攻"}]},"item_4_text_4":{"attribute_name":"著者所属(英)","attribute_value_mlt":[{"subitem_text_value":"Department of Computer Science, Faculty of Engineering, Gunma University.","subitem_text_language":"en"},{"subitem_text_value":"Department of Mathematical Informatics, Graduate School of Information Science and Technology, University of Tokyo.","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/31872/files/IPSJ-AL03094016.pdf"},"date":[{"dateType":"Available","dateValue":"2006-03-19"}],"format":"application/pdf","billing":["billing_file"],"filename":"IPSJ-AL03094016.pdf","filesize":[{"value":"323.1 kB"}],"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":"1b2cb5b3-7094-4fcd-8ca8-20b1f614a5f5","displaytype":"detail","licensetype":"license_note","license_note":"Copyright (c) 2004 by the Information Processing Society of Japan"}]},"item_4_creator_5":{"attribute_name":"著者名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"日吉, 久礎"},{"creatorName":"杉原, 厚吉"}],"nameIdentifiers":[{}]}]},"item_4_creator_6":{"attribute_name":"著者名(英)","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Hisamoto, Hiyoshi","creatorNameLang":"en"},{"creatorName":"Kokichi, Sugihara","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":"自然近傍法と呼ばれるVoronoi図に基づく補間法は，不規則に配置された多次元データの補間法として有望な手法である．しかしながら，従来は大域的にC^1級の補間公式しか知られていなかった．本研究では  大域的にC^2級の補間公式を提案し，陽な形式で書き表す．補間公式の入力として与えられるデータが，3次多項式からとられたものである場合  提案する補間公式は，もとの多項式を正確に復元する．また，背景にあるアイデアを拡張することにより，任意の非負整数kに対して大域的にC^k級の補間公式を得ることもできる．したがって，本研究により，自然近傍補間の連続性に関する従来までの制限が取り除かれ，自然近傍補間は新たな研究段階へ入ることとなる．","subitem_description_type":"Other"}]},"item_4_description_8":{"attribute_name":"論文抄録(英)","attribute_value_mlt":[{"subitem_description":"An interpolation method based on Voronoi diagrams, called a natural neighbor interpolation, is a potential interpolation method for multivariate data.  However, only globally C^1 interpolants have been known so far. In this paper, we propose a globally C^2 interpolant, and write it in an explicit form. When data are supplied from a  third-degree polynomial, the proposed interpolant can reproduce it exactly. In addition, by extending the underlying idea, for an arbitrary non-negative integer k, we can obtain a globally C^k interpolant as well. Thus this paper gets rid of a limitation on the continuity of natural neighbor interpolation, and leads it to a new research stage.","subitem_description_type":"Other"}]},"item_4_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicPageEnd":"116","bibliographic_titles":[{"bibliographic_title":"情報処理学会研究報告アルゴリズム（AL）"}],"bibliographicPageStart":"109","bibliographicIssueDates":{"bibliographicIssueDate":"2004-03-19","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"34(2003-AL-094)","bibliographicVolumeNumber":"2004"}]},"relation_version_is_last":true,"weko_creator_id":"1"},"created":"2025-01-18T23:01:06.108476+00:00","id":31872,"links":{}}