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Abstract：
Pointing error is a critical performance metric for vehicle-mounted single-photon ranging theodolites (VSRTs). Achieving high-precision pointing through processing and adjustment can incur significant costs. In this study, we propose a cost-effective digital correction method based on a piecewise linear regression model to mitigate this issue. Firstly, we introduce the structure of a VSRT and conduct a comprehensive analysis of the factors influencing its pointing error. Subsequently, we develop a physically meaningful piecewise linear regression model that is both physically meaningful and capable of accurately estimating the pointing error. We then calculate and evaluate the regression equation to ensure its effectiveness. Finally, we successfully apply the proposed method to correct the pointing error. The efficacy of our approach has been substantiated through dynamic accuracy testing of a 450 mm optical aperture VSRT. The findings illustrate that our regression model diminishes the root mean square (RMS) value of VSRT\'s pointing error from 17″ to below 5″. Following correction utilizing this regression model, the pointing error of VSRT can be notably enhanced to the arc-second precision level.
摘要：
指向误差是车载单光子测距经纬仪（VSRT）的关键性能指标。通过处理和调整实现高精度指向会产生巨大的成本。在这项研究中,我们提出了一种基于分段线性回归模型的经济有效的数字校正方法来缓解这个问题。首先,介绍了VSRT的结构，并对影响其指向误差的因素进行了综合分析。随后，我们开发了一个有物理意义的分段线性回归模型，该模型既有物理意义，又能够准确估计指向误差。然后，我们计算和评估回归方程，以确保其有效性。最后,我们成功地应用所提出的方法来纠正指向误差。通过对450mm光学孔径VSRT的动态精度测试，我们的方法的有效性得到了证实。研究结果表明，我们的回归模型将VSRT的指向误差的均方根（RMS）值从17″减小到5″以下。在利用此回归模型进行校正后，VSRT的指向误差可以显着提高到弧秒精度水平。
