Frequency analysis of the area error in the triangular partition of a discrete global grid

Ming Tao

College of Civil Engineering and Architecture, China Three Gorges University, No.8,Daxue Street, Xiling, District, Yichang, Hubei, China

The discrete global grid is a method of hierarchical space expression with global scale, multi-resolution, and multi-scale transform features. It is a basic theory related to global geographic information systems and spatial grid computation. The main challenge in the practical application of discrete global grids is the generation of errors. Thus, four typical kinds of global discrete grid models were investigated in this study of partition errors. Area was considered an indicator of partition errors. Furthermore, this study computed the area errors in levels 3 to 10 partitions of each kind of global discrete grid model. The frequency of each indicator was also analysed. Analysis results show that the Synder models have the smallest area deformation.