Mathematical vector framework for gravity-specific land surface curvatures calculation from triangulated irregular networks Article Swipe
YOU?
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· 2022
· Open Access
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· DOI: https://doi.org/10.1080/15481603.2022.2044149
Land surface curvature (LSC) is a basic attribute of topography and influences local effects of gravitational energy and surface material transport. However, the calculation of LSCs based on triangulated irregular networks (TINs) has not been fully studied, which restricts further geoscience studies based on TIN digital elevation models (DEMs). The triangular facets and vertices of a TIN are both expressions of the land surface; therefore, based on their adjacency relationship, the LSCs can be calculated. In this study, we propose a mathematical vector framework for LSC calculation based on TINs. We define LSCs from the perspectives of the curvature tensor, slope and normal contour direction vectors, and then provide the calculation operators for LSCs based on both TIN triangular facets and vertices. Next, based on a mathematically simulated surface, we find that the TIN-based method exhibits similar effects on the scale as the grid-based methods and very low error sensitivity. In addition, based on different real landform cases with various data sources, we perform experiments involving land surface concavity–convexity and hillslope unit classification by using the TIN-based method. The results show that the TIN-based method can enhance the performance of TINs in landform classification over grid-based DEM methods. The proposed mathematical vector framework for LSC calculation can improve other geoscience studies based on TINs.
Related Topics
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1080/15481603.2022.2044149
- https://www.tandfonline.com/doi/pdf/10.1080/15481603.2022.2044149?needAccess=true
- OA Status
- gold
- Cited By
- 20
- References
- 61
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4220880036
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4220880036Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.1080/15481603.2022.2044149Digital Object Identifier
- Title
-
Mathematical vector framework for gravity-specific land surface curvatures calculation from triangulated irregular networksWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2022Year of publication
- Publication date
-
2022-03-13Full publication date if available
- Authors
-
Guanghui Hu, Liyang Xiong, Shuijing Lu, Jun Chen, Sijin Li, Guoan Tang, Josef StroblList of authors in order
- Landing page
-
https://doi.org/10.1080/15481603.2022.2044149Publisher landing page
- PDF URL
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https://www.tandfonline.com/doi/pdf/10.1080/15481603.2022.2044149?needAccess=trueDirect link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
goldOpen access status per OpenAlex
- OA URL
-
https://www.tandfonline.com/doi/pdf/10.1080/15481603.2022.2044149?needAccess=trueDirect OA link when available
- Concepts
-
Landform, Triangulated irregular network, Surface (topology), Grid, Curvature, Adjacency list, Algorithm, Elevation (ballistics), Digital elevation model, Tin, Sensitivity (control systems), Geometry, Computer science, Mathematics, Geology, Remote sensing, Geomorphology, Materials science, Engineering, Electronic engineering, MetallurgyTop concepts (fields/topics) attached by OpenAlex
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20Total citation count in OpenAlex
- Citations by year (recent)
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2025: 8, 2024: 5, 2023: 6, 2022: 1Per-year citation counts (last 5 years)
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61Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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