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地表面积计算精度的影响因素分析

Analysis of Factors Affecting the Accuracy of Surface Area Calculation

【作者】 刘晴

【导师】 董春;

【作者基本信息】 辽宁工程技术大学 , 地图制图学与地理信息工程, 2016, 硕士

【摘要】 地表面积作为真实反映地表形态的一项重要指标,已被越来越多的行业列为优先选择的面积统计量。随着地表面积计算需求的突显,地表面积精确计算的研究也越来越受到学者们的关注。因此,为获得更精确的地表面积值,探讨地表面积计算精度的影响因素显得尤为重要。本文针对地表面积计算模型缺少适用性分析及有效精度评定的问题,采用定性与定量相结合的方法分析基于格网的辛普森积分法的适用性,提出基于模拟数据的精度评定方法,验证基于格网的辛普森积分法的精度;针对缺少DEM分辨率及坐标系统对地表面积计算定量化影响研究的问题,基于地理国情普查基本统计试点数据,计算地表面积及中误差等数值精度统计量,运用差值分析与对比分析,研究DEM分辨率及坐标系统对地表面积的定量化影响,并对实验结果进行了分析与验证;针对缺少地形因子与地表面积关系分析的问题,采用相关性分析、回归分析及因子分析,比较不同地形因子与地表面积的相关性强弱,探讨地形因子在地表面积计算模型插值算法改进时的影响。

【Abstract】 Surface area is an important indicator to true reflecting the surface morphology,which has been widely used as area statistics index in the industries.With the highlight of demand for surface area calculation,more and more scholars has paid attention for the accurate calculation of surface area.Therefore,it is particularly important to research the affecting factors of the surface area accuracy calculation,for which will obtain more accurate value of the surface area.Considering the lacking of suitability analysis and effective accuracy assessment,the paper combined qualitative method and the quantitative method to analysis the suitability of Simpson Integration Undergraduate Student based on grid.It proposed the accuracy evaluation method based on analog data,verified the accuracy of grid-based Simpson Integration Undergraduate Student.In view of lacking for DEM resolution and the influence of coordinate system on the surface area calculation,it calculated the surface area,mean square error and other statistics of numerical precision through differential analysis and comparative analysis based on the Geography Census basic statistical data.It has a lack of considering the impact of topographical factors when interpolation algorithm of the surface area calculation model can been improved,comparing the correlated of different topographic factors and the surface area by using correlation analysis and explore the influence of topography factor on surface area calculation model interpolation algorithm improvements by using factors analysis.

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