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基于整体最小二乘的稳健点云数据平面拟合
引用本文:官云兰,刘绍堂,周世健,张立亭,鲁铁定.基于整体最小二乘的稳健点云数据平面拟合[J].大地测量与地球动力学,2011,31(5):80-83.
作者姓名:官云兰  刘绍堂  周世健  张立亭  鲁铁定
作者单位:1. 东华理工大学测绘工程学院,抚州,344000
2. 河南工程学院土木工程系,郑州,451191
3. 东华理工大学测绘工程学院,抚州344000;江西省科学院,南昌330029
基金项目:国家自然科学基金(40874010); 江西省自然科学基金(2008GQC0001,2010GZC0009,2010GZC0008); 地球空间环境与大地测量教育部重点实验室开放基金(10-01-06)
摘    要:针对点云数据平面拟合方法没有完整考虑测量数据中的误差及系数阵中误差的情况,提出稳健整体最小二乘点云数据平面拟合方法.该法以整体最小二乘法为基础,在考虑全部观测量存在误差的情况下,通过一定的准则删除数据中的粗差或异常值,从而获得稳健的平面参数估值.实验中,分别利用最小二乘法、特征值法和稳健整体最小二乘拟合法对仿真点云数据...

关 键 词:点云数据  整体最小二乘  平面拟合  异常值  稳健性

ROBUST PLANE FITTING OF POINT CLOUDS BASED ON TLS
Guan Yunlan,Liu Shaotang,Zhou Shijian,Zhang Liting,Lu Tieding.ROBUST PLANE FITTING OF POINT CLOUDS BASED ON TLS[J].Journal of Geodesy and Geodynamics,2011,31(5):80-83.
Authors:Guan Yunlan  Liu Shaotang  Zhou Shijian  Zhang Liting  Lu Tieding
Institution:Guan Yunlan1),Liu Shaotang2),Zhou Shijian1,3),Zhang Liting1) and Lu Tieding1)(1)School of Surveying and Mapping Engineering,East China Institute of Technology,Fuzhou 344000 2)Department of Civil Engineering,Henan Institute of Engineering,Zhengzhou 451191 3)Jiangxi Academy of Science,Nanchang 330029
Abstract:In traditional plane fitting methods for point clouds,people don't consider errors in data and in coefficients matrix simultaneously,which will result in incorrectness of plane parameters.In order to overcome this shortcoming,a new method for fitting local plane to point clouds was proposed.The method is based on total least squares.In consideration of the errors in all observation data,we tried to delete outliers from point clouds,and thus obtained a robust solution to plane fitting parameter.Analytical ex...
Keywords:point clouds  Total Least Squares(TLS)  plane fitting  outliers  robustness  
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