{"metadata":{"_oai":{"id":"oai:ipsj.ixsq.nii.ac.jp:00072612","sets":["1164:3206:6312:6313"]},"path":["6313"],"owner":"10","recid":"72612","title":["Taylor展開を用いた対数美的平面曲線のBezier曲線近似"],"pubdate":{"attribute_name":"公開日","attribute_value":"2011-02-01"},"_buckets":{"deposit":"841bbfae-b54d-4bac-a661-982e40c345cf"},"_deposit":{"id":"72612","pid":{"type":"depid","value":"72612","revision_id":0},"owners":[10],"status":"published","created_by":10},"item_title":"Taylor展開を用いた対数美的平面曲線のBezier曲線近似","author_link":["0","0"],"item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Taylor展開を用いた対数美的平面曲線のBezier曲線近似"},{"subitem_title":"An Approximation of Log-Aesthetic Planar Curves by Bezier Curves using the Taylor Expansion","subitem_title_language":"en"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"曲線・曲面モデリング ","subitem_subject_scheme":"Other"}]},"item_type_id":"4","publish_date":"2011-02-01","item_4_text_3":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"日本大学"},{"subitem_text_value":"日本大学"},{"subitem_text_value":"日本大学"},{"subitem_text_value":"東京農工大学"}]},"item_4_text_4":{"attribute_name":"著者所属(英)","attribute_value_mlt":[{"subitem_text_value":"Nihon University","subitem_text_language":"en"},{"subitem_text_value":"Nihon University","subitem_text_language":"en"},{"subitem_text_value":"Nihon University","subitem_text_language":"en"},{"subitem_text_value":"Tokyo University of Agriculture and Technology","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/72612/files/IPSJ-CG11142011.pdf"},"date":[{"dateType":"Available","dateValue":"2013-02-01"}],"format":"application/pdf","billing":["billing_file"],"filename":"IPSJ-CG11142011.pdf","filesize":[{"value":"1.8 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":"28"},{"tax":["include_tax"],"price":"0","billingrole":"44"}],"accessrole":"open_date","version_id":"b0f0bc49-c4eb-45c6-a391-2e0e52d0d997","displaytype":"detail","licensetype":"license_note","license_note":"Copyright (c) 2011 by the Information Processing Society of Japan"}]},"item_4_creator_5":{"attribute_name":"著者名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"福田, 諒"},{"creatorName":"吉田, 典正"},{"creatorName":"齋藤, 敏雄"},{"creatorName":"斎藤, 隆文"}],"nameIdentifiers":[{}]}]},"item_4_creator_6":{"attribute_name":"著者名(英)","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Ryo, Fukuda","creatorNameLang":"en"},{"creatorName":"Norimasa, Yoshida","creatorNameLang":"en"},{"creatorName":"Toshio, Saito","creatorNameLang":"en"},{"creatorName":"Takafumi, Saito","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_4_source_id_9":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN10100541","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":"対数美的平面曲線は曲率が単調に変化し曲率対数グラフが直線になる曲線である．対数美的平面曲線を自由曲線形式で表現する研究としては，有理 3 次 Bezier 曲線で対数美的平面曲線を近似する手法 （疑似対数美的平面曲線），対数美的曲線を離散化し，離散化された式を用いて曲線上に制御点を配置する手法などが行われている．疑似対数美的平面曲線は，曲線を生成するために，対数美的曲線セグメントを算出してから 2 変数の最適化を行う必要がある．対数美的曲線式の離散化を用いる手法は，曲線の次数を高くしなければ曲率対数グラフが直線にならないという問題を持つ．本研究では，対数美的平面曲線式を Taylor 展開することによって，低次の多項式 Bezier 曲線によって近似する手法を示す．また，生成された曲線を対話的に制御する手法を示す．","subitem_description_type":"Other"}]},"item_4_description_8":{"attribute_name":"論文抄録(英)","attribute_value_mlt":[{"subitem_description":"Log-aesthetic planar curves are curves with monotonically varying curvature and linear logarithmic curvature graphs. Currently, there are two methods for representing log-aesthetic planar curves by free-form curves: One is quasi-log-aesthetic curves in rational cubic Bezier forms. The other method places control points on the discretized log aesthetic curves. Quasi-log-aesthetic planar curves need an optimization of two parameters after computing a log-aesthetic planar curves segment. The method of placing control points on discretized log-aesthetic curve has a problem that logarithmic curvature graphs are not linear enough unless the degree of Bezier curves gets higher. We present a method for approximating log-aesthetic planar curves by polynomial Bezier curves using the Taylor expansion. We also present an interactive control method for approximated Bezier curves.","subitem_description_type":"Other"}]},"item_4_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicPageEnd":"6","bibliographic_titles":[{"bibliographic_title":"研究報告 グラフィクスとCAD（CG）"}],"bibliographicPageStart":"1","bibliographicIssueDates":{"bibliographicIssueDate":"2011-02-01","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"11","bibliographicVolumeNumber":"2011-CG-142"}]},"relation_version_is_last":true,"weko_creator_id":"10"},"id":72612,"updated":"2025-01-21T22:42:00.673488+00:00","links":{},"created":"2025-01-18T23:30:53.890574+00:00"}