全球六边形离散格网的几何最优化设计与空间度量

Geometry Optimization Design for Hexagonal Discrete Global Grid System and Spatial Measurement

全球离散格网系统(Discrete Global Grid System,DGGS)是一种新型的空间数据模型。它采用特定的方法进行地球表面的同构离散化,提供了一种无缝无叠的多尺度的全球格网结构。DGGS使用格网的地址编码运算代替传统的坐标计算来处理各种空间操作。本文以六边形DGGS为研究对象,提出了一种用于评价格网几何均匀性的新型最优化目标函数,设计了以启发式全局优化方法为核心,结合数值投影变换方法,构建六边形的DGGS。另外,针对DGGS目前的短板问题——空间度量,研究了DGGS上基于格网方法的面积度量、长度度量和角度度量,旨在发展一套全球六边形离散格网上的空间度量体系。

Discrete Global Grid System （DGGS） provides methods for constructing new spatial data models. It is a promising computer representation of global geo-referenced data sets based on regular, multi-resolution parti- tions of polyhedra. The object of our research is hexagonal DGGS, and we propose a new optimized target func- tion to evaluating the geometrical properties of discrete global grids. Based on this function, this paper designs a new construction idea of hexagonal DGGS which combines the numerical projection transformation and heuris- tic global optimization. In addition, according to the weakness of DGGS： spatial measurement, this paper discuss- es the area measurement, the lineal measurement and the angle measurement based on the hexagonal DGGS. Its purpose is to develop a spatial measurement system for the hexagonal DGGS. In the end, the conclusions and the further studies of this paper are given.