Discrete global grids, a modeling framework for big geo-spatial data, is always used to build the Digital Earth platform. Based on the sphere split bricks (Earth system spatial grids), it can not only build the true three-dimensional digital Earth model, but also can achieve integration, fusion, expression and application of the spatial data which locates on, under or above the Earth subsurface. The theoretical system of spheroid geodesic QTM octree grid is discussed, including the partition principle, analysis of grid geometry features and coding/ decoding method etc, and a prototype system of true-3D digital Earth platform with the sphere split bricks is developed. The functions of the system mainly include the arbitrary sphere segmentation and the visualization of physical models of underground, surface and aerial entities. Results show that the sphere geodesic QTM octree grid has many application advantages, such as simple subdivision rules, the grid system neat, clear geometric features, strong applicability etc. In particular, it can be extended to the ellipsoid, so it can be used for organization, management, integration and application of the global spatial big data.
WANG Jinxin
,
ZHENG Yasheng
,
LI Yaohui
,
LU Fengnian
,
LIU Junnan
. Building the Platform of Digital Earth with Sphere Split Bricks[J]. Acta Geodaetica et Cartographica Sinica, 2015
, 44(6)
: 694
-701
.
DOI: 10.11947/j.AGCS.2015.20140128
[1] WU Lixin, Yu Jieqing. Global 3D Grid Based on Sphere Degenerated Octree and Its Distortion Features[J]. Geography and Geo-Information Science, 2012, 28(1): 7-13. (吴立新, 余接情. 地球系统空间格网及其应用模式[J]. 地理与地理信息科学, 2012, 28(1): 7-13.)
[2] LI Deren. NII, NSDI and Digital Earth[J]. Acta Geodaetica et Cartographica Sinica, 1999, 28(1): 1-5. (李德仁. 信息高速公路、空间信息基础设施与数字地球. 测绘学报[J]. 1999, 28(1): 1-5.)
[3] LI Deren, GONG Jianya, SHAO Zhenfeng. From Digital Earth to Smart Earth[J]. Geomatics and Information Science of Wuhan University, 2010, 35(2): 127-132. (李德仁,龚健雅,邵振峰. 从数字地球到智慧地球[J]. 武汉大学学报: 信息科学版,2010,35(2):127-132.)
[4] GONG Jianya. The Development and Application of 3-D Virtual Earth Technology[J]. Geomatic World, 2011, 9(2): 15-17. (龚健雅. 3维虚拟地球发展及应用[J]. 地理信息世界. 2011,9(2):15-17.)
[5] PANG Xinhua, SHI Juncheng. Review and Prospect of the Development of 3D Virtual Earth[J]. Bulletin of Surveying and Mapping, 2010(sup): 441-444. (庞新华,石俊成. 三维虚拟地球发展回顾与展望[J]. 测绘通报,2010(增刊):441-444.)
[6] SAHR K, WHITE D. Discrete Global Grids Systems[C]//Computing Science and Statistics: 30: Proceedings of the 30th Symposium on the Interface, Computing Science and Statistics. Minnepolis: Interface Foundation of North America, 1998:269-278.
[7] SAHR K, WHITE D. Geodesic Discrete Global Grid Systems[J]. Cartography and Geographic Information Science, 2003, 30(2): 121-134.
[8] DUTTON G. A Hierarchical Coordinate System for Geoprocessing and Cartography: Lecture Notes in Earth Sciences[M]. Berlin: Springer-Verlag, 1999.
[9] GOLD C M, MOSTASAVI M. Towards the Global GIS[J]. ISPRS Journal of Photogrammetry and Remote Sensing, 2000, 55(3): 150-153.
[10] LUKATELA H. Ellipsoidal Area Computations of Large Terrestrial Objects[C]//Proceedings of the 1st International Conference on Discrete Grids' 2000. Santa Barbara: Geodesy Limited, 2000.
[11] BAI Jianjun, SUN Wenbin, ZHAO Xuesheng. Character Analysis and Hierarchical Partition of WGS-84 Ellipsoidal Facet Based on QTM[J]. Acta Geodaetica et Cartographica Sinica, 2011, 40(2): 243-248. (白建军,孙文彬,赵学胜. 基于QTM的WGS-84椭球面层次剖分及其特点分析[J]. 测绘学报, 2011, 40(2): 243-248.)
[12] GOODCHILD M F. Discrete Global Grids: Retrospect and Prospect[J]. Geography and Geo-Information Science, 2012, 28(1): 1-6. (迈克尔F·古德切尔德. 全球离散格网:回顾与展望[J]. 地理与地理信息科学,2012, 28(1): 1-6.)
[13] BAUMGARDNER J R. Three-dimensional Treatment of Convective Flow in the Earth's Mantle[J]. Statistical Physics, 1985, 39(5): 501-511.
[14] TUSBOI S, KOMATITSCH D, JI C. et al. Computations of Global Seismic Wave Propagation in Three Dimensional Earth Mode[C]//High-performance Computing. New York: Springer, 2008: 434-443.
[15] KAGEYAMA A, SATO T. The “ Yin-Yang Grid”: An Overset Grid in Spherical Geometry[J]. Geochemistry Geophysics Geosystem, 2004, 5(9): 1-15.
[16] BALLARD S, HIPP J R, YOUNG C J. Efficient and Accurate Calculation of Ray Theory Seismic Travel Time through Variable Resolution 3D Earth Models[J]. Seismological Research Letters, 2009, 80(6): 989-999.
[17] STADLLER G, GURNIS C, BURSTEDDE C. The Dynamics of Plate Tectonics and Mantle Flow: From Local to Global Scales[J]. Science, 2010, 329(5995):1033-1038.
[18] WU Lixin, YU Jieqing. Global 3D Grid Based on Sphere Degenerated Octree and Its Distortion Features[J]. Geography and Geo-Information Science, 2009, 25(1): 1-4. (吴立新,余接情. 基于球体退化八叉树的全球三维网格与变形特征.地理与地理信息科学[J]. 2009, 25(1): 1-4.)
[19] CAO Xuefeng. Research on Earth Sphere Shell Space Grid: Theory and Algorithms[D]. Zhengzhou: Information Engineering University, 2012. (曹雪峰. 地球圈层空间网格理论与算法研究[D]. 郑州:信息工程大学,2012.)
[20] WANG Jinxin, LU Fengnian, CHEN Jie. Comparison of Surface and Solid Discrete Global Grids[J]. Science of Surveying and Mapping, 2012, 37(6): 34-36. (王金鑫,禄丰年,陈杰. 球面离散网格与球体离散网格的比较研究[J]. 测绘科学,2012,37(6):34-36.)
[21] WANG Jinxin, LU Fengnian, GUO Tongde, et al. Global 3D-grids Based on Great Circle Arc QTM Sphere Octree and Unequal Octree[J]. Geomatics and Information Science of Wuhan University, 2013, 38(3): 344-348. (王金鑫,禄丰年,郭同德,陈杰. 球体大圆弧QTM八叉树剖分[J]. 武汉大学学报: 信息科学版, 2013, 38(3): 344-348.)
[22] GOODCHILG M F. Criteria for Evaluation of Global Grid Models for Environmental Monitoring and Analysis[EB/OL]. Buffalo: NCGIA, 2000. [2014-01-12]. http://www.ncgia. ucsb. edu/pubs/pubslist.html.
[23] ZHAO X S, CHEN J, LI Z L. A QTM-based Algorithm for the Generation of Voronoi Diagram on Sphere[M]. Advances in Spatial Data Handling. Berlin: Springer-Verlag, 2002: 269-284.
[24] ZHAO Xuesheng, HOU Miaole, BAI Jianjun. Spatial Digital Modeling of the Global Discrete Grids[M]. Beijing: Surveying and Mapping Press, 2007. (赵学胜,侯妙乐,白建军. 全球离散网格的空间数字建模[M]. 北京:测绘出版社,2007.)
[25] YU Jieqing, WU Lixin. On Coding and Decoding for Sphere Degenerated: Octree Grid[J]. Geography and Geo-Information Science, 2012, 28(1): 14-18. (余接情,吴立新. 球体退化八叉树网格编码与解码研究[J]. 地理与地理信息科学, 2012, 28(1): 14-18.)
[26] GOODCHILD M F, YANG S. A Hierarchical Data Structure for Global Geographic Information Systems[J]. Computer Vision and Geographic Image Processing, 1992, 54(1): 31-34.
[27] DUTTON G. Modeling Location Uncertainly via Hierarchical Tessellation[C]//Accuracy of Spatial Database. London: Taylor and Francis, 1989: 125-140.
[28] ZHAO Xuesheng, CHEN Jun. Fast Translating Algorithm between QTM Code and Longitude/Latitude Coordination[J]. Acta Geodaetica et Cartographica Sinica, 2003, 32(3): 272-277. (赵学胜,陈军. QTM地址码与经纬度坐标的快速转换算法[J]. 测绘学报,2003,32(3):272-277.)