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Robust Prediction Algorithm Based on a General EIV Model for Multiframe Transformation

机译：基于常见EIV模型的鲁棒预测算法进行多帧变换

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摘要

In modern geodesy, there are cases in which the target frame is unique and there is more than one source frame. Helmert transformations, which are extensively used to solve transformation parameters, can be separately solved between the target frame and one of the source frames. However, this is not globally optimal, even though each transformation is locally optimal on its own. Additionally, this also generates the problem of multiple solutions in the noncommon station of the target frame. Moreover, least squares solutions can cause estimation value distortion, with a gross error existing in observations. Thus, in this paper, Helmert transformations among three frames, that is, one target frame and two source frames, are studied as an example. A robust prediction algorithm based on the general errors-in-variables prediction algorithm and the robust estimation is derived in detail and is applied to achieve multiframe total transformation. Furthermore, simulation experiments were conducted and the results validated the superiority of the proposed total transformation method over classical separate approaches.
机译：在现代大地测量仪中，存在目标帧是唯一的，并且存在多个源帧。广泛用于求解变换参数的Helmert变换可以在目标帧和一个源帧之间单独解决。然而，即使每个转换都是本地最佳的，这也不是全局最佳的。另外，这还会产生目标帧的非常驻地站中多解决方案的问题。此外，最小二乘解决方案可以导致估计值失真，具有在观察中存在的总误差。因此，在本文中，研究了三个帧之间的蠕光变换，即一个目标帧和两个源帧，作为示例。基于常规误差的变量预测算法和鲁棒估计的鲁棒预测算法得到了详细的衍生，并应用于实现多帧总变换。此外，进行了仿真实验，结果验证了在古典单独的方法上验证了所提出的总转化方法的优越性。

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  • 来源
    《Mathematical Problems in Engineering》 |2019年第4期|5173956.1-5173956.10|共10页
  • 作者

    Yao Lihui; Lin Peng; Gao Jingxiang; Liu Chao;

  • 作者单位

    China Univ Min & Technol NASG Key Lab Land Environm & Disaster Monitoring Xuzhou 221116 Jiangsu Peoples R China|China Univ Min & Technol Sch Environm Sci & Spatial Informat Xuzhou 221116 Jiangsu Peoples R China;

    Anhui Jianzhu Univ Coll Civil Engn Hefei 230000 Anhui Peoples R China;

    China Univ Min & Technol NASG Key Lab Land Environm & Disaster Monitoring Xuzhou 221116 Jiangsu Peoples R China|China Univ Min & Technol Sch Environm Sci & Spatial Informat Xuzhou 221116 Jiangsu Peoples R China;

    Anhui Univ Sci & Technol Sch Geodesy & Geomat Huainan 232001 Anhui Peoples R China;

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