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A total error-based multiquadric method for surface modeling of digital elevation models

机译：基于总误差的多二次曲面数字高程模型建模方法

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摘要

Digital elevation model (DEM) source data are subject to both horizontal and vertical errors owing to improper instrument operation, physical limitations of sensors, and bad weather conditions. These factors may bring a negative effect on some DEM-based applications requiring low levels of positional errors. Although classical smoothing interpolation methods have the ability to handle vertical errors, they are prone to omit horizontal errors. Based on the statistical concept of the total least squares method, a total error-based multiquadric (MQ-T) method is proposed in this paper to reduce the effects of both horizontal and vertical errors in the context of DEM construction. In nature, the classical multiquadric (MQ) method is a vertical error regression procedure, whereas MQ-T is an orthogonal error regression model. Two examples, including a numerical test and a real-world example, are employed in a comparative performance analysis of MQ-T for surface modeling of DEMs. The numerical test indicates that MQ-T performs better than the classical MQ in terms of root mean square error. The real-world example of DEM construction with sample points derived from a total station instrument demonstrates that regardless of the sample interval and DEM resolution, MQ-T is more accurate than classical interpolation methods including inverse distance weighting, ordinary kriging, and Australian National University DEM. Therefore, MQ-T can be considered as an alternative interpolator for surface modeling with sample points subject to both horizontal and vertical errors.
机译：由于仪器操作不当，传感器的物理限制以及恶劣的天气情况，数字高程模型（DEM）源数据会同时受到水平和垂直误差的影响。这些因素可能对某些要求低位置误差的基于DEM的应用程序产生负面影响。尽管经典的平滑插值方法具有处理垂直误差的能力，但它们倾向于忽略水平误差。基于总最小二乘法的统计概念，本文提出了一种基于总误差的多二次方（MQ-T）方法，以减少DEM构造背景下水平和垂直误差的影响。实际上，经典的多二次（MQ）方法是一种垂直误差回归程序，而MQ-T是一种正交误差回归模型。在对DEM的表面建模进行MQ-T的比较性能分析时，采用了两个示例，包括数值测试和实际示例。数值测试表明，就均方根误差而言，MQ-T的性能优于经典MQ。使用全站仪得出的采样点构建DEM的真实示例表明，无论采样间隔和DEM分辨率如何，MQ-T均比经典的插值方法（包括反距离权重，普通克里金法和澳大利亚国立大学）更准确。 DEM。因此，MQ-T可以被视为表面建模的替代插值器，其中采样点同时受到水平和垂直误差的影响。

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  • 来源
    《GIScience & remote sensing》 |2016年第5期|578-595|共18页
  • 作者

    Chen Chuanfa; Wang Xin; Yan Changqing; Guo Bin; Liu Guolin;

  • 作者单位

    Shandong Univ Sci & Technol, State Key Lab Min Disaster Prevent & Control Cofo, Qingdao, Peoples R China|Shandong Univ Sci & Technol, Minist Sci & Technol, Qingdao, Peoples R China|Shandong Univ Sci & Technol, Shandong Prov Key Lab Geomat & Digital Technol Sh, Qingdao, Peoples R China;

    Shandong Univ Sci & Technol, Shandong Prov Key Lab Geomat & Digital Technol Sh, Qingdao, Peoples R China;

    Shandong Univ Sci & Technol, Dept Informat Engn, Tai An, Shandong, Peoples R China;

    Shandong Univ Sci & Technol, Shandong Prov Key Lab Geomat & Digital Technol Sh, Qingdao, Peoples R China;

    Shandong Univ Sci & Technol, Shandong Prov Key Lab Geomat & Digital Technol Sh, Qingdao, Peoples R China;

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  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    interpolation; accuracy; positional error; least squares method;

    机译：插值;精度;位置误差;最小二乘法;

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