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平面六边形格网上格点多边形的面积计算方法

     

摘要

全球离散格网系统是一种新型的全球多尺度空间数据模型,相关问题的研究已引起学术界的广泛关注并已取得可喜进展。其中,格网量测体系的建立是当前学术界的研究难点,同时也是格网实用化必须解决的核心问题。文中将平面六边形格网上任意覆盖区域抽象为“格点多边形”,推导并证明了其面积计算公式,通过对比算例验证了结论的正确性和优越性。%As a new-type global multi-scale spatial data model Discrete Global Grid System DGGS has gained its attention in academic community and gratifying progress has been made in the research of related issues. And the establishment of grid measuring system appeals to be a difficult point in the current academic research as well as an essential problem to be solved for the practical use of DGGS. The arbitrary planar coverage area in hexagonal grid is regarded as a lattice polygon in this paper then the computational formula for its area has been derived and proved. The validity and superiority of the conclusion are verified through the contrasting examples at last.

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