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- 2018
一种基于最小广义方差估计的TLS点云抗差法向量求解方法
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Abstract:
针对地面激光扫描点云中的粗差与不均匀采样对法向量计算的影响，基于最小广义方差估计与局部平面拟合原理提出了一种抗差法向量求解方法。首先通过快速近似最近邻居搜索算法得到最近k邻居点集，然后由确定型最小广义方差估计方法和多元马氏距离得到邻居点集协方差矩阵的抗差估计，最后根据主成分分析法（principal component analysis，PCA）计算得到抗差法向量。通过构造的模拟地面激光扫描（terrestrial laser scanning，TLS）点云数据将提出的方法分别与基于PCA、鲁棒PCA和随机抽样一致的法向量求解方法进行实验比较。结果表明，所提方法的抗差性能优异，且并行优化改进后可以满足大规模TLS点云的计算需求。将该方法应用于实际野外地形TLS点云数据，由求解的抗差法向量重建的泊松表面更符合实际地形，表明了该方法在实际应用中的有效性
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