Quantitative Relations between Topological Similarity Degree and Map Scale Change of Contour Clusters in Multi-Scale Map Spaces
Quantitative relations between topological similarity degree and map scale change of multi-scale contour clusters are vital to the automation of map generalization. However, no method has been proposed to calculate the relations. This paper aims at filling the gap by proposing a new approach. It fir...
| 主要な著者: | , , |
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| フォーマット: | 論文 |
| 言語: | English |
| 出版事項: |
MDPI AG
2022-04-01
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| シリーズ: | ISPRS International Journal of Geo-Information |
| 主題: | |
| オンライン･アクセス: | https://www.mdpi.com/2220-9964/11/4/268 |
| _version_ | 1827628574504386560 |
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| author | Rong Wang Haowen Yan Xiaomin Lu |
| author_facet | Rong Wang Haowen Yan Xiaomin Lu |
| author_sort | Rong Wang |
| collection | DOAJ |
| description | Quantitative relations between topological similarity degree and map scale change of multi-scale contour clusters are vital to the automation of map generalization. However, no method has been proposed to calculate the relations. This paper aims at filling the gap by proposing a new approach. It firstly constructed a directed contour tree by pre-processing of unclosed contours, and then developed a quantitative expression of topological relations of contour cluster based on directed contour tree. After this, it employed 108 groups of multi-scale contour clusters with different geomorphological types to explore the changing regularity of topological indices with map scale. Last, it used 416 points to calculate the quantitative relations between topological similarity degree and map scale change by curve fitting method. The results show that the quantitative expression of multi-scale topological indexes is closely related to the contour interval change, and power function is the best fit among the candidate functions. |
| first_indexed | 2024-03-09T13:34:31Z |
| format | Article |
| id | doaj.art-c9e5be09a6024e58ae2eeb0ffab0b2a2 |
| institution | Directory Open Access Journal |
| issn | 2220-9964 |
| language | English |
| last_indexed | 2024-03-09T13:34:31Z |
| publishDate | 2022-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | ISPRS International Journal of Geo-Information |
| spelling | doaj.art-c9e5be09a6024e58ae2eeb0ffab0b2a22023-11-30T21:13:51ZengMDPI AGISPRS International Journal of Geo-Information2220-99642022-04-0111426810.3390/ijgi11040268Quantitative Relations between Topological Similarity Degree and Map Scale Change of Contour Clusters in Multi-Scale Map SpacesRong Wang0Haowen Yan1Xiaomin Lu2College of Resources and Environmental Engineering, Tianshui Normal University, Tianshui 741001, ChinaFaculty of Geomatics, Lanzhou Jiaotong University, Lanzhou 730070, ChinaFaculty of Geomatics, Lanzhou Jiaotong University, Lanzhou 730070, ChinaQuantitative relations between topological similarity degree and map scale change of multi-scale contour clusters are vital to the automation of map generalization. However, no method has been proposed to calculate the relations. This paper aims at filling the gap by proposing a new approach. It firstly constructed a directed contour tree by pre-processing of unclosed contours, and then developed a quantitative expression of topological relations of contour cluster based on directed contour tree. After this, it employed 108 groups of multi-scale contour clusters with different geomorphological types to explore the changing regularity of topological indices with map scale. Last, it used 416 points to calculate the quantitative relations between topological similarity degree and map scale change by curve fitting method. The results show that the quantitative expression of multi-scale topological indexes is closely related to the contour interval change, and power function is the best fit among the candidate functions.https://www.mdpi.com/2220-9964/11/4/268topological similarity degreesmap generalizationmap scale changecontour clusters |
| spellingShingle | Rong Wang Haowen Yan Xiaomin Lu Quantitative Relations between Topological Similarity Degree and Map Scale Change of Contour Clusters in Multi-Scale Map Spaces ISPRS International Journal of Geo-Information topological similarity degrees map generalization map scale change contour clusters |
| title | Quantitative Relations between Topological Similarity Degree and Map Scale Change of Contour Clusters in Multi-Scale Map Spaces |
| title_full | Quantitative Relations between Topological Similarity Degree and Map Scale Change of Contour Clusters in Multi-Scale Map Spaces |
| title_fullStr | Quantitative Relations between Topological Similarity Degree and Map Scale Change of Contour Clusters in Multi-Scale Map Spaces |
| title_full_unstemmed | Quantitative Relations between Topological Similarity Degree and Map Scale Change of Contour Clusters in Multi-Scale Map Spaces |
| title_short | Quantitative Relations between Topological Similarity Degree and Map Scale Change of Contour Clusters in Multi-Scale Map Spaces |
| title_sort | quantitative relations between topological similarity degree and map scale change of contour clusters in multi scale map spaces |
| topic | topological similarity degrees map generalization map scale change contour clusters |
| url | https://www.mdpi.com/2220-9964/11/4/268 |
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