Multi-mode 3D extension methods for equal-area discrete global grid systems for geospatial data representation

被引：0

作者：

Zhou J. ^{[1
]}

Ding J. ^{[1
]}

Ben J. ^{[1
]}

Chen Y. ^{[1
]}

Liang Q. ^{[1
]}

机构：

[1] Institute of Surveying and Mapping, Information Engineering University, Zhengzhou

来源：

Cehui Xuebao/Acta Geodaetica et Cartographica Sinica | 2024年 / 53卷 / 01期

关键词：

3D extension; compactness; discrete global grid system; equal-area; subdivision; volume preservation;

D O I：

10.11947/j.AGCS.2024.20220701

中图分类号：

学科分类号：

摘要：

Discrete global grid systems (DGGS) are new geospatial data models, among which the equal-area DGGS have attracted much attention due to their unique advantages in sampling and spatial analysis. Nevertheless, related researches are limited to the earth surface and lack of theoretical methods for extending to 3D space. Herein, several multi-mode subdivision methods are proposed for extending equal-area 2D DGGS to 3D DGGS and their unified mathematical description and detailed mathematical proof are realized. Then the volume and compactness indicators are introduced to evaluate the properties of 3D grids under different subdivision modes, and we compare these indicators with the spherical degenerated octree grids (SDOG) and the spherical geometric octree grids (SGOG). Finally, the application cases are explored and the principle of selecting subdivision mode under different application requirements is discussed. The experimental results show that the indicators of the degenerated subdivision are better than the regular subdivision and the volume properties of equal volume and degenerate subdivision are better than SDOG, and the compactness properties are better than SGOG. The multi-mode 3D extension method proposed here not only meets the requirements of international standard for equal volume, but also consider the conventional subdivision design options, which provides a basis for different application requirements. © 2024 SinoMaps Press. All rights reserved.

引用

页码：173 / 188

页数：15

共 41 条

[1]

LI Feng, WAN Gang, AN Zipeng, Et al., Generation of spheroid 3D-Voronoi diagram based on global grid division, Chinese Journal of Stereology and Image Analysis, 23, 1, pp. 54-59, (2018)

[2]

WU Lixin, YU Jieqing, Global 3D-grid based on sphere degenerated octree and its distortion features, Geography and Geo-Information Science, 25, 1, pp. 1-4, (2009)

[3]

SUN Qun, WEN Bowei, CHEN Xin, Research on consistency processing of multisource geospatial data, Acta Geodaetica et Cartographica Sinica, 51, 7, pp. 1561-1574, (2022)

[4]

ZHAO Xuesheng, BEN Jin, SUN Wenbin, Et al., Overview of the research progress in the earth tessellation grid, Acta Geodaetica et Cartographica Sinica, 45, pp. 1-14, (2016)

[5]

LIN Bingxian, XU Depeng, SHENG Yehua, Et al., Coding model and mapping method of spherical diamond discrete grids based on icosahedron, Acta Geodaetica et Cartographica Sinica, 45, pp. 23-31, (2016)

[6]

HU Hai, YOU Lian, SONG Lili, Et al., Some metric problems on the global grid systems, Acta Geodaetica et Cartographica Sinica, 45, pp. 56-65, (2016)

[7]

ZHOU Liangchen, SHENG Yehua, LIN Bingxian, Et al., Diamond discrete grid subdivision method for spherical surface with icosahedron, Acta Geodaetica et Cartographica Sinica, 43, 12, pp. 1293-1299, (2014)

[8]

HU Bailin, WANG Chunbo, ZHAO Xuesheng, Et al., Degenerate quadtree latitude/longitude grid based on WGS-84 ellipsoidal facet, Acta Geodaetica et Cartographica Sinica, 45, pp. 32-39, (2016)

[9]

BASSIN C., The current limits of resolution for surface wave tomography in North America[J], Eos Transactions American Geophysical Union, 81, 48, (2000)

[10]

ZHAO Dapeng, Global tomographic images of mantle plumes and subducting slabs: insight into deep Earth dynamics, Physics of the Earth and Planetary Interiors, 146, 1, pp. 3-34, (2004)

← 1 2 3 4 5 →