2022
DOI: 10.1080/15481603.2022.2044149
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Mathematical vector framework for gravity-specific land surface curvatures calculation from triangulated irregular networks

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Cited by 10 publications
(4 citation statements)
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References 59 publications
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“…Existing normal vector estimation methods fall into three types: those based on the Delaunay method of triangulation, those based on the robust statistical method, and those based on the local surface fitting method [19][20][21]. In this paper, the local surface fitting method is selected.…”
Section: Normal Vector Calculationsmentioning
confidence: 99%
“…Existing normal vector estimation methods fall into three types: those based on the Delaunay method of triangulation, those based on the robust statistical method, and those based on the local surface fitting method [19][20][21]. In this paper, the local surface fitting method is selected.…”
Section: Normal Vector Calculationsmentioning
confidence: 99%
“…Concave terrains represent the areas where the slope gradient gradually flattens as it descends, while convex terrains contain the reverse shape. The classification of concave and convex terrains is performed based on the curvature and slope gradient that expresses the local topographic characteristics, and the segmented units usually represent the slope surface with a relatively small area [25,27,28]. For example, the researchers of [27] updated the calculation framework of surface curvature to improve the classification of concave and convex areas, and Geomorphons [26] considered ternary patterns of landforms to represent surface morphologies.…”
Section: Introductionmentioning
confidence: 99%
“…The classification of concave and convex terrains is performed based on the curvature and slope gradient that expresses the local topographic characteristics, and the segmented units usually represent the slope surface with a relatively small area [25,27,28]. For example, the researchers of [27] updated the calculation framework of surface curvature to improve the classification of concave and convex areas, and Geomorphons [26] considered ternary patterns of landforms to represent surface morphologies. Positive and negative terrains (P-N terrains) are another expression of the binary terrain structure [23,29].…”
Section: Introductionmentioning
confidence: 99%
“…These discrete points, which can be geographical coordinate points or pixels in color space, can represent quantifiable and meaningful discrete points, such as mass and temperature. These points also have an extremely broad development space [21] and show promising applications in 3D geological modeling. For example, in the 3D modeling of pore groundwater, the TIN spatial discrete mesh is an important representation and data organization form of the 3D solid structure model.…”
Section: Introductionmentioning
confidence: 99%