基于整体最小二乘法的任意旋转角度三维坐标转换  

THREE-DIMENSIONAL COORDINATION TRANSFORMATION ADAPTED TO ARBITRARY ROTATION ANGLE BASED ON TOTAL LEAST SQUARES METHOD

作　　者：杨仕平[1] 范东明[1] 龙玉春 

机构地区：[1]西南交通大学地球科学与环境工程学院测绘工程系,成都610031 [2]重庆市合川龙市中学,合川401564

出　　处：《大地测量与地球动力学》2013年第2期114-119,共6页Journal of Geodesy and Geodynamics

基　　金：地球空间环境与大地测量教育部重点实验室测绘基础研究基金(04-01-02)

摘　　要：在研究任意旋转角度三维坐标转换的过程中,针对控制点在两套坐标系下均存在随机误差(EIV模型)的情况,提出在只有三个控制点的情况下采用改进的附有约束条件的加权整体最小二乘法进行解算,在控制点较丰富(四个及以上)的情况下采用多元整体最小二乘法(观测方程的观测值不只一列的整体最小二乘法)进行解算,解决系数矩阵中重复随机元素改正数不相等的问题,提高参数值的精度。In the process for researching three-dimensional coordination transformation adapted to arbitrary rotation angle, with the case of only three control points , an improved constrained weighted total least squares method （ICWTLS） was proposed to solve the model of control points in the two sets having random errors （ EIV model）. If the control points are rich （ four or more）, we put forward the multivariate total least squares method （ observation equation has not only one row, MTLS） to solve the parameters, and the problem of the repeated random elements of coefficient matrix＇ s corrections being not equal, and to improve the accuracy of the parameter values.

关 键 词：改进的约束加权整体最小二乘法 多元整体最小二乘法 任意旋转角度三维坐标转换 系数矩阵 重复随机元素 

分 类 号：P226.3[天文地球—大地测量学与测量工程]