Kermarrec Gaël, Hartmann Jens
Opt Express. 2021 May 24;29(11):17011-17022. doi: 10.1364/OE.422735.
Rigorous statistical testing of deformation using a terrestrial laser scanner (TLS) can avoid events such as structure collapses. Such a procedure necessitates an accurate description of the TLS measurements' noise, which should include the correlations between angles. Unfortunately, these correlations are often unaccounted for due to a lack of knowledge. This contribution addresses this challenge. We combine (i) a least-square approximation to extract the geometry of the TLS point cloud with the aim to analyze the residuals of the fitting and (ii) a specific filtering coupled with a maximum likelihood estimation to quantify the amount of flicker noise versus white noise. This allows us to set up fully populated variance covariance matrices of the TLS noise as a result.
使用地面激光扫描仪（TLS）对变形进行严格的统计测试可以避免诸如结构坍塌等事件。这样的过程需要对TLS测量的噪声进行准确描述，其中应包括角度之间的相关性。不幸的是，由于缺乏相关知识，这些相关性常常未被考虑在内。本论文解决了这一挑战。我们将（i）一种最小二乘近似法结合起来，以提取TLS点云的几何形状，目的是分析拟合的残差，以及（ii）一种特定的滤波方法与最大似然估计相结合，以量化闪烁噪声与白噪声的量。这样一来，我们最终能够建立TLS噪声的完整方差协方差矩阵。
