Hilbert曲线层级演进关系

Hilbert Curve Hierarchical Evolution Relationship

网格编码代数是当前全球空间网格研究中的难点,也是推动全球空间网格从数据组织管理框架发展成为新一代空间分析模型的理论基础。Hilbert曲线是设计全球空间网格单元编码的重要工具。本文以Hilbert曲线序列码作为八叉树立体网格单元的唯一编码,由Hilbert曲线数学性质推导得到网格单元Hilbert码的层级演进关系表,进而设计了用于网格编码代数运算的若干操作算子,为构建全球空间网格分析理论与方法提供参考。

Grid code algebra is the difficult of current global spatial grid research, and it is the theoretic basis for the development from data organization framework to the new generation of spatial analysis model. Hilbert curve has been an important tool in the global spatial grid code design. In this paper, the octree grid code is based on Hilbert curve, then Hilbert curve hierarchical evolution relationship table is presented, which is used to design some grid code algebra operator. This work provides a reference for the construction of global spatial grid analysis theory and methods.