基于球体退化八叉树的全球三维网格与变形特征  

Global 3D-Grid Based on Sphere Degenerated Octree and Its Distortion Features

作　　者：吴立新[1] 余接情[2] 

机构地区：[1]民政部/教育部减灾与应急管理研究院(北京师范大学),北京100875 [2]中国矿业大学资源与安全工程学院,北京100083

出　　处：《地理与地理信息科学》2009年第1期1-4,共4页Geography and Geo-Information Science

基　　金：国家863计划项目(2006AA12Z216);国家杰出青年基金项目(50525414);国家自然科学基金项目(40571137)

摘　　要：基于投影的度量空间变换为数字地球及数字区域建设带来了几何裂缝、投影变形等问题,解决问题的根本途径是摒弃投影,直接在球体流形空间建立统一的地球空间基础框架。该文将球面离散网格向球体内部扩展,基于球体退化八叉树提出一种全新的全球三维空间网格剖分方法——球体退化八叉树网格(SDOG)。SDOG具有多层次、多分辨率特性,且网格单元面积、体积变形稳定,可对包括地球在内的任意球体进行有序的多层次三维空间剖分,可为全球空间数据集成组织与检索、多层次空间建模与可视化、地球系统科学研究等提供统一的地球空间基础框架。Projection-based metric space transformation had brought and regional GIS. The fundamental solution is to set up an uniform geometric fissures and projection distortions tor global GIS spatial reference framework for the Earth directly based on sphere space. By extending the surface discrete global grids to the inner of the Earth, this paper proposed a new method for global three-dimensional grid subdivision named as Sphere Degenerated Octree Grid （SDOG）, which is based on sphere degenerated octree. SDOG has the features of multi-hierarchy, multi-resolution, and distortion stability both in grid area and grid volume. SDOG can do orderly and multi-hierarchy subdivision on any sphere including the Earth, and can provide three-dimensional uniform spatial reference framework,without projection distortion and data fissure, for global spatial data integral organization and indexing,multi-hierarchy spatial modeling and large scale visualization,and Earth system scientific research.

关 键 词：地球系统 地心坐标系 空间基础框架 全球三维网格 球体退化八叉树网格(SDOG) 

分 类 号：P208[天文地球—地图制图学与地理信息工程]