algebraicencodingschemeforaperture3hexagonaldiscreteglobalgridsystem
文献类型：期刊论文
| 作者 | Ben Jin1; Li Yalu1; Zhou Chenghu2 ; Wang Rui1; Du Lingyu1
|
| 刊名 | sciencechinaearthsciences
 |
| 出版日期 | 2018 |
| 卷号 | 61期号:2页码:215 |
| ISSN号 | 1674-7313 |
| 英文摘要 | Discrete Global Grid Systems (DGGSs) are spatial references that use a hierarchical tessellation of cells to partition and address the entire globe. They provide an organizational structure that permits fast integration between multiple sources of large and variable geospatial data sufficient for visualization and analysis. Despite a significant body of research supporting hexagonal DGGSs as the superior choice, the application thereof has been hindered owing in part to the lack of a rational hierarchy with an efficient addressing system. This paper presents an algebraic model of encoding scheme for the Aperture 3 Hexagonal (A3H) DGGS. Firstly, the definition of a grid cell, which is composed of vertices, edges, and a center, is introduced to describe fundamental elements of grids. Secondly, by identifying the grid cell with its center, this paper proves that cell centers at different levels can be represented exactly using a mixed positional number system in the complex plane through the recursive geometric relationship between two successive levels, which reveals that grid cells are essentially special complex radix numbers. Thirdly, it is shown that through the recursive geometric relationship of successive odd or even levels, the mixed positional number system can also be applied to uniquely represent cell centers at different levels under specific constraint conditions, according to which the encoding scheme is designed. Finally, it is shown that by extending the scheme to 20 triangular faces of the regular icosahedron, multi-resolution grids on closed surfaces of the icosahedron are addressed perfectly. Contrast experiments show that the proposed encoding scheme has the advantages of theoretical rigor and high programming efficiency and that the efficiency of cross-face adjacent cell searching is 242.9 times that of a similar scheme. Moreover, the proposed complex radix number representation is an ideal formalized description tool for grid systems. The research ideas introduced herein can be used to create a universal theoretical framework for DGGSs. |
| 资助项目 | [National Natural Science Foundation of China] ; [Postdoctoral Science Foundation of China] ; [Excellent Young Scholar Foundation of Information Engineering University] |
| 语种 | 英语 |
| 源URL | [http://ir.igsnrr.ac.cn/handle/311030/121851]  |
| 专题 | 中国科学院地理科学与资源研究所 |
| 作者单位 | 1.Institute of Surveying and Mapping, Information Engineering University 2.中国科学院地理科学与资源研究所 |
| 推荐引用方式 GB/T 7714 | Ben Jin,Li Yalu,Zhou Chenghu,et al. algebraicencodingschemeforaperture3hexagonaldiscreteglobalgridsystem[J]. sciencechinaearthsciences,2018,61(2):215. |
| APA | Ben Jin,Li Yalu,Zhou Chenghu,Wang Rui,&Du Lingyu.(2018).algebraicencodingschemeforaperture3hexagonaldiscreteglobalgridsystem.sciencechinaearthsciences,61(2),215. |
| MLA | Ben Jin,et al."algebraicencodingschemeforaperture3hexagonaldiscreteglobalgridsystem".sciencechinaearthsciences 61.2(2018):215. |
入库方式： OAI收割
来源：地理科学与资源研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。