中文摘要：

针对传统的三维坐标转换模型局限于求解小旋转角的三维坐标转换参数的缺点,以及没有同时顾及观测向量和系数矩阵的随机误差,该文提出了一种新的三维坐标转换参数求解模型。基于非线性Gauss-Helmert模型,建立了三维坐标转换的Bursa-Wolf模型,采用Newton-Gauss迭代算法,构建了加权整体最小二乘问题的拉格朗日函数,并给出了该算法的具体推导过程及其精度评定公式。实测数据和仿真数据结果表明：新算法在无须假设条件的前提下,可以获得任意旋转角下的坐标转换参数,且待估参数数目大大降低,易于程序实现。

英文摘要：

In view of the traditional three dimensional coordinate transformation model limited to solve the small rotation angle of the three dimensional coordinate conversion parameters without considering the random errors and gross errors in the observation vector and the coefficient matrix. A three dimensional coordinate transformation method of Bursa-Wolf model on the nonlinear Gauss-Helmert model was proposed in the paper. Then, a Lagrange function of weight total least squares by using Newton Gauss iterative al gorithm was constructed, the detailed derivation process and its precision evaluation formula were put for ward for the proposed method simultaneously. Experiment results showed that the proposed method can obtain the coordinate transformation parameters conditions. Meanwhile, the number of the estimated od can be programmed easily. on any rotation angles without any assumed parameters reduced significantly, and the new meth