基于空间插值的数字地形建模方法精度评价(二)

I. Hunko
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Since model accuracy is a crucial factor for many geodetic works, it is necessary to determine which methods are the most accurate and meet the requirements of different purposes of use. The accuracy assessment of methods will improve the efficiency of geodetic works and avoid errors and additional costs. In the Surfer program, after constructing the DTM with each method, a report can be obtained containing the input values of points and the values obtained after interpolation with each method. This report is very useful for assessing the accuracy of each method since it allows understanding how well the model reflects the real relief. To assess the accuracy of each method, control points of the spatial variable Z were taken, and the values in these points were interpolated for each method. This assessment makes it possible to obtain a numerical characteristic of accuracy for each method and compare them with each other. Based on the analysis conducted, it can be concluded that problematic areas were identified on a fragment of a topographic map, where there were insufficient input data for accurate interpolation. The result is not accurate and could be better with input data obtained from geodetic instruments and technologies such as GPS, lidar, etc. The \"Natural Neighbor\" method performed the best in reproducing the digital elevation model on this hilly terrain. The application of the \"Kriging,\" \"Triangulation with Linear Interpolation,\" \"Modified Shepard's Method,\" and \"Radial Basic Function\" methods provided fairly accurate interpolation. However, the \"Minimum Curvature\" method was found to be ineffective in hilly terrain as it did not provide accurate interpolation. After conducting an accuracy assessment, it can be concluded that high-quality input data is an extremely important element in achieving more accurate results when creating a digital elevation model. 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引用次数: 0

摘要

数字地形模型(DTM)是许多大地测量工作的重要组成部分。它可以精确地以数字形式再现地球表面,并具有不同程度的细节。创建DTM最重要的问题之一是反映浮雕的准确性。在工作的第一部分中,已经对能够更详细地反映救济的方法进行了分析。为此,我们选择了Surfer地理信息包,它提供了相当多的基于空间插值算法的方法。虽然这些方法对同一区域的描述非常详细,但仍然需要评估每种方法的准确性。本文的目的是评估基于空间插值的数字地形模型构建方法的精度。由于模型精度是许多大地测量工作的关键因素,因此有必要确定哪种方法最准确,并满足不同使用目的的要求。方法的准确性评估将提高大地测量工作的效率,避免误差和额外的费用。在Surfer程序中,用每种方法构造DTM后,可以得到一个报告,其中包含点的输入值和每种方法插值后得到的值。该报告对于评估每种方法的准确性非常有用,因为它允许理解模型如何很好地反映真实的救济。为了评估每种方法的准确性,选取空间变量Z的控制点,并对每种方法的控制点上的值进行插值。这种评估可以获得每种方法的精度的数值特征,并相互比较。通过分析,可以得出结论:在地形图的一个片段上识别出了问题区域,这些区域的输入数据不足,无法进行准确的插值。结果不准确,使用GPS、激光雷达等大地测量仪器和技术的输入数据可以得到更好的结果。“自然邻居”方法在该丘陵地形上的数字高程模型再现效果最好。“克里格法”、“线性插值三角剖分法”、“修正谢泼德法”和“径向基函数法”的应用提供了相当精确的插值。然而,由于“最小曲率”方法不能提供精确的插值,因此在丘陵地形中被发现是无效的。在进行精度评估后,可以得出结论,在创建数字高程模型时,高质量的输入数据是获得更准确结果的极其重要的因素。关键词:数字高程模型,构建方法,空间插值,地理信息系统,Surfer
本文章由计算机程序翻译,如有差异,请以英文原文为准。
EVALUATION OF ACCURACY OF DIGITAL TERRAIN MODELING METHODS BASED ON SPATIAL INTERPOLATION (Part 2)
Digital terrain model (DTM) is an integral part of many geodetic works. It allows accurately reproducing the earth's surface in a digital form with varying levels of detail. One of the most significant problems in creating a DTM is the accuracy of reflecting the relief. In the first part of the work, an analysis of methods that can more detailed reflect the relief was already conducted. For these purposes, the Surfer geoinformation package was selected, which offers a considerable number of methods based on the spatial interpolation algorithm. Although these methods have represented the same area with high detail, there is still a need to assess the accuracy of each method. The purpose of this article is to assess the accuracy of methods for constructing a digital terrain model based on spatial interpolation. Since model accuracy is a crucial factor for many geodetic works, it is necessary to determine which methods are the most accurate and meet the requirements of different purposes of use. The accuracy assessment of methods will improve the efficiency of geodetic works and avoid errors and additional costs. In the Surfer program, after constructing the DTM with each method, a report can be obtained containing the input values of points and the values obtained after interpolation with each method. This report is very useful for assessing the accuracy of each method since it allows understanding how well the model reflects the real relief. To assess the accuracy of each method, control points of the spatial variable Z were taken, and the values in these points were interpolated for each method. This assessment makes it possible to obtain a numerical characteristic of accuracy for each method and compare them with each other. Based on the analysis conducted, it can be concluded that problematic areas were identified on a fragment of a topographic map, where there were insufficient input data for accurate interpolation. The result is not accurate and could be better with input data obtained from geodetic instruments and technologies such as GPS, lidar, etc. The "Natural Neighbor" method performed the best in reproducing the digital elevation model on this hilly terrain. The application of the "Kriging," "Triangulation with Linear Interpolation," "Modified Shepard's Method," and "Radial Basic Function" methods provided fairly accurate interpolation. However, the "Minimum Curvature" method was found to be ineffective in hilly terrain as it did not provide accurate interpolation. After conducting an accuracy assessment, it can be concluded that high-quality input data is an extremely important element in achieving more accurate results when creating a digital elevation model. Keywords: digital elevation model, construction methods, spatial interpolation, geographic information system, Surfer.
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