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  1. 論文誌(ジャーナル)
  2. Vol.63
  3. No.2

Geometric Correction of Historical Maps Based on Vector Field Analysis

https://ipsj.ixsq.nii.ac.jp/records/216345
https://ipsj.ixsq.nii.ac.jp/records/216345
dc5faafe-a4db-43bf-a82b-e8141fb4db85
名前 / ファイル ライセンス アクション
IPSJ-JNL6302007.pdf IPSJ-JNL6302007.pdf (1.7 MB)
Copyright (c) 2022 by the Information Processing Society of Japan
オープンアクセス
Item type Journal(1)
公開日 2022-02-15
タイトル
タイトル Geometric Correction of Historical Maps Based on Vector Field Analysis
タイトル
言語 en
タイトル Geometric Correction of Historical Maps Based on Vector Field Analysis
言語
言語 eng
キーワード
主題Scheme Other
主題 [特集:人文科学とコンピュータ] historical map, geometric correction, homeomorphism, straightness, vector field
資源タイプ
資源タイプ識別子 http://purl.org/coar/resource_type/c_6501
資源タイプ journal article
著者所属
Graduate School of Engineering Science, Akita University
著者所属
Graduate School of Engineering Science, Akita University
著者所属(英)
en
Graduate School of Engineering Science, Akita University
著者所属(英)
en
Graduate School of Engineering Science, Akita University
著者名 Takeshi, Miura

× Takeshi, Miura

Takeshi, Miura

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Katsubumi, Tajima

× Katsubumi, Tajima

Katsubumi, Tajima

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著者名(英) Takeshi, Miura

× Takeshi, Miura

en Takeshi, Miura

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Katsubumi, Tajima

× Katsubumi, Tajima

en Katsubumi, Tajima

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論文抄録
内容記述タイプ Other
内容記述 It is well known that the following two conditions should be satisfied in the control-point based geometric correction of historical maps: (a) Conversion from a historical map into a present map is a homeomorphism and (b) The straightness of designated specific line segments is maintained. In this paper, a new method for the control-point based geometric correction of historical maps, which simultaneously satisfies both the above conditions, is proposed. The correction process is modeled as a phenomenon in a three-dimensional vector field. Each point in a historical map is connected with the corresponding point in a present map by a streamline of the field. Since a unique streamline passes through any point in the vector field having no zero-vector point, the above connection relationship becomes a homeomorphism. As a result, Condition (a) is satisfied. On the other hand, the straightness of designated line segments is maintained because streamlines intersecting with the line segments in the historical map are formed so as to necessarily intersect with the corresponding line segments in the present map. Consequently, Condition (b) is satisfied. The experimental results demonstrate the effectiveness of the proposed method.
------------------------------
This is a preprint of an article intended for publication Journal of
Information Processing(JIP). This preprint should not be cited. This
article should be cited as: Journal of Information Processing Vol.30(2022) (online)
DOI http://dx.doi.org/10.2197/ipsjjip.30.85
------------------------------
論文抄録(英)
内容記述タイプ Other
内容記述 It is well known that the following two conditions should be satisfied in the control-point based geometric correction of historical maps: (a) Conversion from a historical map into a present map is a homeomorphism and (b) The straightness of designated specific line segments is maintained. In this paper, a new method for the control-point based geometric correction of historical maps, which simultaneously satisfies both the above conditions, is proposed. The correction process is modeled as a phenomenon in a three-dimensional vector field. Each point in a historical map is connected with the corresponding point in a present map by a streamline of the field. Since a unique streamline passes through any point in the vector field having no zero-vector point, the above connection relationship becomes a homeomorphism. As a result, Condition (a) is satisfied. On the other hand, the straightness of designated line segments is maintained because streamlines intersecting with the line segments in the historical map are formed so as to necessarily intersect with the corresponding line segments in the present map. Consequently, Condition (b) is satisfied. The experimental results demonstrate the effectiveness of the proposed method.
------------------------------
This is a preprint of an article intended for publication Journal of
Information Processing(JIP). This preprint should not be cited. This
article should be cited as: Journal of Information Processing Vol.30(2022) (online)
DOI http://dx.doi.org/10.2197/ipsjjip.30.85
------------------------------
書誌レコードID
収録物識別子タイプ NCID
収録物識別子 AN00116647
書誌情報 情報処理学会論文誌

巻 63, 号 2, 発行日 2022-02-15
ISSN
収録物識別子タイプ ISSN
収録物識別子 1882-7764
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