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重力基准图的六边形网格自适应评价与表征

Adaptive Evaluation and Representation of Gravity Reference Maps Using Hexagonal Grids

  • 摘要: 重力基准图是潜航器导航定位的重要基础性数据,六边形网格作为多分辨率空间数据管理的重要范式,空间覆盖效率和角度分辨率最高且所有单元均一致,具有明显优势。基于H3地理空间索引系统,给出南中国海某海域六边形基准图表征范式;结合海洋重力测量数据来源多样的实际,对船测重力测量点进行离散性分析,给出测量点密度、空间分布等有关的多个评价参数,区分1°和0.25° 2个不同尺度滑动窗口进行计算并对结果进行分析。试验结果表明,在顾及海洋多源重力测量数据量前提下,应综合考虑密度、平均最近邻距离、期望距离、最近邻指数(NNI)、变异系数(CV)等指标参数,对不同区域测量值离散性进行自适应分析,通过对空间尺度不断变化情况下测量数据的多轮次评价,可细化得到局部海域六边形网格最适配分辨率,以此实现重力基准图在局部海域表征更加精细、空间尺度自适应可变。

     

    Abstract: Gravity reference maps are essential foundational data for the navigation and positioning of underwater vehicles. As an important paradigm for multi-resolution spatial data management, hexagonal grids offer significant advantages due to their highest spatial coverage efficiency and angular resolution, as well as the uniformity of all grid cells. A representation paradigm for hexagonal reference maps in a certain area of the South China Sea is presented in this paper based on the H3 geospatial indexing system. Considering the diverse sources of marine gravity measurement data, a dispersion analysis of shipborne gravity measurement points is conducted, and several evaluation parameters related to measurement point density and spatial distribution are derived. Two sliding windows at scales of 1° and 0.25° are used for calculation and analysis. Experimental results indicate that, given the volume of multi-source marine gravity data, indicators such as density, average nearest neighbor distance, expected distance, nearest neighbor index (NNI), and coefficient of variation (CV) should be comprehensively considered to adaptively analyze the dispersion of measurement values in different regions. By performing multiple rounds of evaluation under varying spatial scales, the most suitable resolution of hexagonal grids for local sea areas can be refined, thereby achieving finer representation of gravity reference maps in local areas with adaptive spatial scale variability.

     

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