加权总体最小二乘在三维激光标靶拟合中的应用  

APPLICATION OF WEIGHTED TOTAL LEAST-SQUARES TO TARGET FITTING OF THREE-DIMENSIONAL LASER SCANNING

作　　者：陈玮娴[1] 陈义[1,2] 袁庆[1] 葛旭明[1] 

机构地区：[1]同济大学测量与国土信息工程系,上海200092 [2]现代工程测量国家测绘局重点实验室,上海200092

出　　处：《大地测量与地球动力学》2010年第5期90-96,共7页Journal of Geodesy and Geodynamics

摘　　要：针对平面标靶和球标靶拟合中最小二乘方法和总体最小二乘方法存在的问题,提出了一种加权总体最小二乘的拟合方法,根据点云激光反射强度以及对系数阵A列向量部分修正引入权阵P、PX、P0,建立较LS方法和TLS方法更加合理的模型,并给出相应的迭代算法。经实例计算证明加权总体最小二乘方法更加合理,可以获得更高精度的参数解。According to the different laser reflection intensity of each cloud point and correcting parts of the coefficient matrix A column vectors, the weighted total least-square （WTLS） methods in the plane target and sphere target fitting of the terrestrial laser scanning is introduced, a more reasonable model than the least-square （LS） methods and the total least-square （TLS） methods is established, and the corresponding iterative algorithm is given. The calculated example proves that the model is more reasonable indeed and the more accurate parameters solution can be obtained with WTLS.

关 键 词：点云 EIV模型 标靶拟合 总体最小二乘 加权总体最小二乘 

分 类 号：P207[天文地球—测绘科学与技术]