{"links":{},"metadata":{"_oai":{"id":"oai:ipsj.ixsq.nii.ac.jp:00231366","sets":["6164:6165:6630:11448"]},"path":["11448"],"owner":"44499","recid":"231366","title":["Quantitative Evaluation of Local Distortion in Historical Maps by Using the Nabla Operator"],"pubdate":{"attribute_name":"公開日","attribute_value":"2023-12-02"},"_buckets":{"deposit":"f734b670-4814-4d5c-b74c-1ecb66926251"},"_deposit":{"id":"231366","pid":{"type":"depid","value":"231366","revision_id":0},"owners":[44499],"status":"published","created_by":44499},"item_title":"Quantitative Evaluation of Local Distortion in Historical Maps by Using the Nabla Operator","author_link":["624487","624488"],"item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Quantitative Evaluation of Local Distortion in Historical Maps by Using the Nabla Operator"},{"subitem_title":"Quantitative Evaluation of Local Distortion in Historical Maps by Using the Nabla Operator","subitem_title_language":"en"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"historical map, map distortion, vector analysis, nabla operator","subitem_subject_scheme":"Other"}]},"item_type_id":"18","publish_date":"2023-12-02","item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_18_text_3":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Graduate School of Engineering Science, Akita University"}]},"item_18_text_4":{"attribute_name":"著者所属(英)","attribute_value_mlt":[{"subitem_text_value":"Graduate School of Engineering Science, Akita University","subitem_text_language":"en"}]},"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":44499,"item_file_price":{"attribute_name":"Billing file","attribute_type":"file","attribute_value_mlt":[{"url":{"url":"https://ipsj.ixsq.nii.ac.jp/record/231366/files/IPSJ-CH2023031.pdf","label":"IPSJ-CH2023031"},"date":[{"dateType":"Available","dateValue":"2025-12-02"}],"format":"application/pdf","billing":["billing_file"],"filename":"IPSJ-CH2023031.pdf","filesize":[{"value":"2.1 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":"24"},{"tax":["include_tax"],"price":"0","billingrole":"44"}],"accessrole":"open_date","version_id":"0d1ac07e-4e40-4c19-8985-725623b79c09","displaytype":"detail","licensetype":"license_note","license_note":"Copyright (c) 2023 by the Information Processing Society of Japan"}]},"item_18_creator_5":{"attribute_name":"著者名","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Miura, Takeshi"}],"nameIdentifiers":[{}]}]},"item_18_creator_6":{"attribute_name":"著者名(英)","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Takeshi, Miura","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourceuri":"http://purl.org/coar/resource_type/c_5794","resourcetype":"conference paper"}]},"item_18_description_7":{"attribute_name":"論文抄録","attribute_value_mlt":[{"subitem_description":"It  is  well  known  that  geometric  local  distortion  is  often  seen  in  historical  maps.  To  quantitatively  evaluate  the  tendency  of  the  above  distortion,  a  method  in  which  a  historical  map  is  transformed  by  the  Euclidean  regression  to  fit  its  size,  direction  and  location  to  those  of  a  present  map  is  often  used.  In  the  above  method, the historical map is moved so that the centroid of its control points coincides with that of the present map.  However,  there  is  actually  no  guarantee  that  the  centroid  position  of  the  fitted  historical  map  necessarily  coincides with that of the present map. In this study, a new method to evaluate the local distortion of historical maps  is  proposed.  It  spatially  uniformly  detects  local  distortions,  irrespective  of  whether  the  detected  point  is  close to the centroid or not. Specifically, the distribution of point-position differences between the historical and present  maps  is  regarded  as  a  vector  field,  and  the  nabla  operator  known  as  a  vector  differential  operator  is  applied to the field. As a result, the divergence and rotation of local distortions are extracted. The experimental results show the effectiveness of the proposed method. ","subitem_description_type":"Other"}]},"item_18_description_8":{"attribute_name":"論文抄録(英)","attribute_value_mlt":[{"subitem_description":"It  is  well  known  that  geometric  local  distortion  is  often  seen  in  historical  maps.  To  quantitatively  evaluate  the  tendency  of  the  above  distortion,  a  method  in  which  a  historical  map  is  transformed  by  the  Euclidean  regression  to  fit  its  size,  direction  and  location  to  those  of  a  present  map  is  often  used.  In  the  above  method, the historical map is moved so that the centroid of its control points coincides with that of the present map.  However,  there  is  actually  no  guarantee  that  the  centroid  position  of  the  fitted  historical  map  necessarily  coincides with that of the present map. In this study, a new method to evaluate the local distortion of historical maps  is  proposed.  It  spatially  uniformly  detects  local  distortions,  irrespective  of  whether  the  detected  point  is  close to the centroid or not. Specifically, the distribution of point-position differences between the historical and present  maps  is  regarded  as  a  vector  field,  and  the  nabla  operator  known  as  a  vector  differential  operator  is  applied to the field. As a result, the divergence and rotation of local distortions are extracted. The experimental results show the effectiveness of the proposed method. ","subitem_description_type":"Other"}]},"item_18_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicPageEnd":"224","bibliographic_titles":[{"bibliographic_title":"じんもんこん2023論文集"}],"bibliographicPageStart":"219","bibliographicIssueDates":{"bibliographicIssueDate":"2023-12-02","bibliographicIssueDateType":"Issued"},"bibliographicVolumeNumber":"2023"}]},"relation_version_is_last":true,"weko_creator_id":"44499"},"updated":"2025-01-19T10:43:57.145319+00:00","created":"2025-01-19T01:31:37.637748+00:00","id":231366}