求解三维坐标转换参数的整体最小二乘新方法

A New Method of TLS for Solving the Parameters of Three-dimensional Coordinate Transformation

针对求解三维坐标转换参发中存在的问题,提出了一种在EIV模型下使用整体最小二乘迭代法求解三维坐标转换参数的新方法。该方法只对系数矩阵中含有误差的元素进行改正,也可使系数矩阵中不同位置的相同元素具有同样的改正数。给出了运用新方法求解三维坐标转换参数的实例,并验证了新方法的可行性。

Based on brief introduction of the current various kinds of methods for solving the parameters of three-dimensional coordinate transformation,the defects and shortcoming of these methods are delineated.Aimed at solving these existing problems,we came up with a new method to obtain the parameters for three-dimensional coordinate transformation using an iterative method of total least squares in the EIV model.The method only corrects elements which contain errors in the coefficient matrix.However,it also adjusts the same elements in different positions of coefficient matrix to the same correction,making the results conform more closely to the actual situation.Finally,an example was conducted using the new method to solve the parameters for three-dimensional coordinate transformation to verify the feasibility of new method.