全球离散格网采用特定方法将地球均匀离散化，形成无缝无叠的多分辨率格网层次结构，采用格网单元的地址编码代替传统地理坐标参与数据操作,是一种新型的空间数据组织、管理与应用模型。.本课题以球面六边形离散格网系统为研究对象，针对球面格网目前的短板问题- - 空间度量与误差分析这一目标开展讨论，系统地研究球面格网上的空间度量方法，目的是发展一套全球六边形离散格网上的空间度量与误差分析体系，具体包括：1）形成平面六边形格网上的坐标记录方法、空间度量（包括距离度量、面积度量、角度度量）方法和度量误差分析体系方法；2）根据球面格网的变形规律，将平面六边形格网上的度量原理拓展到球面空间，考虑面积、角度和方向的变化对球面格网度量的影响；3）探讨球面六边形离散格网上单元的坐标记录方法、空间度量（包括距离度量、面积度量、角度度量）方法和球面上格网度量的误差分析体系方法。

Discrete Global Grid System (DGGS) provides methods for constructing new spatial data models, and it is a promising computer representation of global geo-referenced data sets based on regular, multi-resolution partitions of polyhedra. According to the method for selecting the grid partition unit, hexagonal grid, whose coverage efficiency and symmetric are higher than triangular and quadrangular grids, has such characteristics as coherently neighborhood and so on, therefore, it is quite appropriate for managing the spatial data. The object of our research is Discrete Global Hexagonal Grid Systems, and aiming at the failing of recent researches, the goal of our research is spatial measurement and error analysis. In order to develop a whole system of spatial measurement and error analysis based on the Discrete Global Hexagonal Grid Systems, our research includes the methods of establishing the coordinate, spatial measurement (distance measurement, area measurement and angle measurement) and error analysis on the planar hexagonal grids, the evaluate models of distortedly and error distributing for spherical hexagonal grids, and the methods of establishing the coordinate, spatial measurement (distance measurement, area measurement and angle measurement) and error analysis on the spherical hexagonal grids.