Propagation of vertical and horizontal source data errors into a TIN with linear interpolation
Propagation of vertical and horizontal source data errors into a TIN with linear interpolation
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DOI：
10.1080/13658816.2014.889299
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发表时间：
2014-07
影响因子：
5.7
通讯作者：
L. Fan;J. Smethurst;P. Atkinson;W. Powrie
中科院分区：
文献类型：
--
作者：
L. Fan;J. Smethurst;P. Atkinson;W. Powrie
数字高程模型 (DEM) 已广泛用于各种应用，并构成许多 GIS 相关任务的基础。 DEM 的一个重要方面是其准确性，这取决于多种因素，例如源数据质量、插值方法、数据采样密度和表面地形特征。近年来，差分全球定位系统、光探测和测距等直接从土地测量中获得的点测量变得越来越流行。这些地形数据点可用作在本地或区域范围内创建 DEM 的源数据。在某些情况下可以估计点测量的误差。本文的重点是源数据中的错误如何传播到 DEM 中。所考虑的插值方法是具有线性插值的不规则三角网（TIN）。本研究考虑了源数据点的水平和垂直误差。导出了一种分析方法，用于将误差传播到 TIN 模型内的任何特定兴趣点。该解决方案使用蒙特卡罗模拟和从地面激光扫描仪获得的调查数据进行了验证。
Digital elevation models (DEMs) have been widely used for a range of applications and form the basis of many GIS-related tasks. An essential aspect of a DEM is its accuracy, which depends on a variety of factors, such as source data quality, interpolation methods, data sampling density and the surface topographical characteristics. In recent years, point measurements acquired directly from land surveying such as differential global positioning system and light detection and ranging have become increasingly popular. These topographical data points can be used as the source data for the creation of DEMs at a local or regional scale. The errors in point measurements can be estimated in some cases. The focus of this article is on how the errors in the source data propagate into DEMs. The interpolation method considered is a triangulated irregular network (TIN) with linear interpolation. Both horizontal and vertical errors in source data points are considered in this study. An analytical method is derived for the error propagation into any particular point of interest within a TIN model. The solution is validated using Monte Carlo simulations and survey data obtained from a terrestrial laser scanner.