Acta Geodaetica et Cartographica Sinica ›› 2016, Vol. 45 ›› Issue (S1): 77-84.doi: 10.11947/j.AGCS.2016.F009

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Hilbert Curve Hierarchical Evolution Relationship

CAO Xuefeng1, WAN Gang1, ZHANG Zongpei2   

  1. 1. Institute of Geospatial Information, Information Engineering University, Zhengzhou 450052, China;
    2. Troops 95989, Beijing 100076, China
  • Received:2016-08-20 Revised:2016-10-20 Online:2016-12-31 Published:2017-03-29
  • Supported by:
    The National Natural Science Foundation of China (Nos. 41371384;41491465)

Abstract: 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.

Key words: Hilbert Curve, Grid Code Algebra, Global Spatial Grid, Octree

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