Bidirectional mapping between rhombic triacontahedron and icosahedral hexagonal discrete global grid systems
ABSTRACTThe icosahedron is currently the mainstream polygon in research and application of discrete global grid systems (DGGS). However, compared to the rhombic triacontahedron (RT), the icosahedron has disadvantages, such as lower sphere-fitting accuracy, greater projection distortion, and difficul...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Taylor & Francis Group
2024-12-01
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| Series: | International Journal of Digital Earth |
| Subjects: | |
| Online Access: | https://www.tandfonline.com/doi/10.1080/17538947.2024.2324952 |
| _version_ | 1797272203490754560 |
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| author | Xinhai Huang Jinchi Dai Jin Ben Jianbin Zhou Junjie Ding |
| author_facet | Xinhai Huang Jinchi Dai Jin Ben Jianbin Zhou Junjie Ding |
| author_sort | Xinhai Huang |
| collection | DOAJ |
| description | ABSTRACTThe icosahedron is currently the mainstream polygon in research and application of discrete global grid systems (DGGS). However, compared to the rhombic triacontahedron (RT), the icosahedron has disadvantages, such as lower sphere-fitting accuracy, greater projection distortion, and difficulty in incorporating the matrix structure for geospatial data storage. More importantly, the special positional relationship between the rhombic triacontahedron and the Earth enables it to effectively support event simulations related to geographical locations. To this end, bidirectional mapping of the hexagonal grid between the RT and icosahedron was proposed, which can efficiently integrate the existing datasets and algorithms of icosahedral DGGS into RT DGGS, thereby achieving seamless conversion between heterogeneous grid systems. We established geometric and topological correlations between the RT and icosahedron, abstracted the spatial algebraic structures of hexagonal grids on the two different polygons, and constructed mapping relationships between them. Finally, conversion between heterogeneous grid indices was achieved using dual quaternions. Experiments revealed that the proposed method was 3.9150 and 2.8151 times more efficient at grid conversion from RT to icosahedron and from icosahedron to RT, respectively, than was a method using latitude/longitude coordinates as a medium. |
| first_indexed | 2024-03-07T14:25:00Z |
| format | Article |
| id | doaj.art-2a7cf1973f054b03859b1d43c7cd8ef9 |
| institution | Directory Open Access Journal |
| issn | 1753-8947 1753-8955 |
| language | English |
| last_indexed | 2024-03-07T14:25:00Z |
| publishDate | 2024-12-01 |
| publisher | Taylor & Francis Group |
| record_format | Article |
| series | International Journal of Digital Earth |
| spelling | doaj.art-2a7cf1973f054b03859b1d43c7cd8ef92024-03-06T08:11:12ZengTaylor & Francis GroupInternational Journal of Digital Earth1753-89471753-89552024-12-0117110.1080/17538947.2024.2324952Bidirectional mapping between rhombic triacontahedron and icosahedral hexagonal discrete global grid systemsXinhai Huang0Jinchi Dai1Jin Ben2Jianbin Zhou3Junjie Ding4PLA Strategic Support Force Information Engineering University, Zhengzhou, People’s Republic of ChinaPLA Strategic Support Force Information Engineering University, Zhengzhou, People’s Republic of ChinaPLA Strategic Support Force Information Engineering University, Zhengzhou, People’s Republic of ChinaPLA Strategic Support Force Information Engineering University, Zhengzhou, People’s Republic of ChinaPLA Strategic Support Force Information Engineering University, Zhengzhou, People’s Republic of ChinaABSTRACTThe icosahedron is currently the mainstream polygon in research and application of discrete global grid systems (DGGS). However, compared to the rhombic triacontahedron (RT), the icosahedron has disadvantages, such as lower sphere-fitting accuracy, greater projection distortion, and difficulty in incorporating the matrix structure for geospatial data storage. More importantly, the special positional relationship between the rhombic triacontahedron and the Earth enables it to effectively support event simulations related to geographical locations. To this end, bidirectional mapping of the hexagonal grid between the RT and icosahedron was proposed, which can efficiently integrate the existing datasets and algorithms of icosahedral DGGS into RT DGGS, thereby achieving seamless conversion between heterogeneous grid systems. We established geometric and topological correlations between the RT and icosahedron, abstracted the spatial algebraic structures of hexagonal grids on the two different polygons, and constructed mapping relationships between them. Finally, conversion between heterogeneous grid indices was achieved using dual quaternions. Experiments revealed that the proposed method was 3.9150 and 2.8151 times more efficient at grid conversion from RT to icosahedron and from icosahedron to RT, respectively, than was a method using latitude/longitude coordinates as a medium.https://www.tandfonline.com/doi/10.1080/17538947.2024.2324952Discrete global grid systemsgrid conversionhexagonal gridpolygon |
| spellingShingle | Xinhai Huang Jinchi Dai Jin Ben Jianbin Zhou Junjie Ding Bidirectional mapping between rhombic triacontahedron and icosahedral hexagonal discrete global grid systems International Journal of Digital Earth Discrete global grid systems grid conversion hexagonal grid polygon |
| title | Bidirectional mapping between rhombic triacontahedron and icosahedral hexagonal discrete global grid systems |
| title_full | Bidirectional mapping between rhombic triacontahedron and icosahedral hexagonal discrete global grid systems |
| title_fullStr | Bidirectional mapping between rhombic triacontahedron and icosahedral hexagonal discrete global grid systems |
| title_full_unstemmed | Bidirectional mapping between rhombic triacontahedron and icosahedral hexagonal discrete global grid systems |
| title_short | Bidirectional mapping between rhombic triacontahedron and icosahedral hexagonal discrete global grid systems |
| title_sort | bidirectional mapping between rhombic triacontahedron and icosahedral hexagonal discrete global grid systems |
| topic | Discrete global grid systems grid conversion hexagonal grid polygon |
| url | https://www.tandfonline.com/doi/10.1080/17538947.2024.2324952 |
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