Quantitative Evaluation of Local Distortion in Historical Maps by Using the Nabla Operator

• Item type: Symposium(1)
• 公開日: 2023-12-02
• タイトル: Quantitative Evaluation of Local Distortion in Historical Maps by Using the Nabla Operator
• タイトル / 言語: en
• タイトル: Quantitative Evaluation of Local Distortion in Historical Maps by Using the Nabla Operator
• 言語: eng
• キーワード / 主題Scheme: Other
• キーワード / 主題: historical map, map distortion, vector analysis, nabla operator
• 資源タイプ / 資源タイプ識別子: http://purl.org/coar/resource_type/c_5794
• 資源タイプ: conference paper
• 著者所属: Graduate School of Engineering Science, Akita University
• 著者所属(英): en
• 著者所属(英): Graduate School of Engineering Science, Akita University
• 著者名: Miura, Takeshi
• 著者名(英): Takeshi, Miura
• 論文抄録 / 内容記述タイプ: Other
• 論文抄録 / 内容記述: 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.
• 論文抄録(英) / 内容記述タイプ: Other
• 論文抄録(英) / 内容記述: 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.
• 書誌情報: じんもんこん2023論文集; 巻 2023, p. 219-224, 発行日 2023-12-02
• 出版者 / 言語: ja
• 出版者: 情報処理学会