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基于加权总体最小二乘法的点云平面拟合

Plane fitting of point clouds based on weighted total least square

  • 摘要: 为了提高点云数据平面拟合精度,提出强度加权总体最小二乘法。该方法是在传统加权总体最小二乘法基础上,利用点云数据中各点强度信息确定其平面拟合权重,通过均质性不同的3种平面样本数据对该方法的适用性进行了研究。结果表明,与最小二乘法和总体最小二乘方法相比,该方法对于均质性较好的点云数据有效,可以得到更高精度的参量解;而对于均质性较差的点云数据,该方法效果不理想,总体最小二乘法是最有效方法。

     

    Abstract: In order to improve the plane fitting precision of point cloud data, the intensity weighted total least square method was proposed. The method, based on the ordinary weighted total least square method, determined the weight value of plant fitting using the intensity information of each point in point cloud data. The application of the method was analyzed with three different homogenous data. Experimental results show that the method is effective for plane fitting of point clouds with good homogeneity, and more accurate solution can be obtained compared with total least squares method and least squares method. As for plane fitting of inhomogeneous point clouds, the total least squares method is superior to the proposed method.

     

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