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基于加权总体最小二乘法的点云平面拟合
引用本文:苍桂华,岳建平. 基于加权总体最小二乘法的点云平面拟合[J]. 激光技术, 2014, 38(3): 307-310. DOI: 10.7510/jgjs.issn.1001-3806.2014.03.005
作者姓名:苍桂华  岳建平
作者单位:1.南京工业大学 测绘学院, 南京 210009;
基金项目:国家自然科学基金资助项目(41174002); 江苏省测绘科研资助项目(JSCHKY201303)
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。

关 键 词:激光技术   点云数据   平面拟合   加权总体最小二乘   强度
收稿时间:2013-07-19

Plane fitting of point clouds based on weighted total least square
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.
Keywords:laser technique  point clouds data  plane fitting  weighted total least square  intensity
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