Construction of rhombic triacontahedron discrete global grid systems

Discrete Global Grid System(DGGS)is a new multi-resolution geospatial data modeling and processing scheme for the digital earth.The icosahedron is commonly regarded as an ideal polyhedron for constructing DGGSs with small distortions;however,the shape of its face is triangular,making it difficult to incorporate the matrix structure used for geospatial data storage and parallel computing.To overcome this limitation,this study utilizes the rhombic triacontahedron(RT)as the basic polyhedron to construct DGGSs.An equal-area projection between the surface of RT and the sphere is developed and used to design a grid-generation algorithm for the aperture 4 hexagonal DGGS based on RT.Compared with the equal-area DGGS based on the icosahedron,the proposed scheme results in smaller angular projection distortions,with the mean and standard deviation decreasing by 41.6%and 30.9%,respectively.The grid cells of the RT DGGS also achieve more optimized geometric characteristics in shape compactness,length deviation,and angle deviation than those in the icosahedron DGGS.Additionally,the cross-surface computation efficiency provides advantages in code conversion to latitude and longitude and proximity queries.Furthermore,the use of RT offers a new and better framework within the context of DGGS research and application.

菱形三十面体六边形全球离散格网系统构建算法

全球离散格网系统是递归剖分整个地球空间形成的多分辨率离散地球参考模型,有助于建立以空间位置为主键的多源数据关联融合新模式。正二十面体的三角面不利于建立格网单元行列索引,且生成的球面格网单元存在较大形状差异,对此,该文采用面数更多、结构更优的菱形三十面体构建六边形全球离散格网系统。首先,在单个菱形面上建立离散斜坐标系描述多种孔径六边形剖分产生的多分辨率格网;其次,根据菱形三十面体的几何属性确定跨面单元归属,据此拼接各面上的多分辨率单元,构成封闭三十面体上的格网系统;最后,通过Snyder等积多面体投影将封闭菱形三十面体上的格网系统映射至球面。实验结果表明,相比二十面体的同类成果,菱形三十面体六边形全球离散格网系统的几何属性和应用潜力更好,有助于建立地球空间信息数据的高精度承载模型。

遥感图像菱形三十面体六边形全球离散格网建模及存储

全球离散格网系统(Discrete Global Grid System,DGGS)是数字化的地球参考框架,在多源、多尺度地球空间数据集成分析方面优势明显。本文选择菱形三十面体六边形全球离散格网系统,提高格网与地球的整体拟合精度和空间采样率;建立遥感图像六边形像素数学模型,提出兼容开放标准格式的数据存储方案。①根据地理位置将遥感图像格网化,完成遥感图像六边形DGGS建模;其次,建立六边形单元与矩形像素严密对应关系,等效保留六边形单元的邻域信息;②采用GeoTIFF开放标准格式精确存储六边形属性值以及投影、变换参数;③设计依托六边形DGGS格网标准数据集为基础的多尺度六边形DGGS生成算法。实验结果表明:本文方案不仅能保证六边形像素遥感图像数据与标准文件格式兼容,而且能保证矩形像素与六边形单元逐一对应,较好地保留了六边形单元数据的图像信息和空间分布特征,相较于欧空局SMOS数据组织方案更具优势。本文方案打破了六边形单元与矩形像素遥感图像的数据组织壁垒,使用常见GIS/RS软件即可读取六边形像素的遥感图像,并可通过对矩形像素的操作等效实现对六边形单元的处理,有望推动六边形DGGS在遥感数据组织、处理、共享等方面的应用。