Abstract:When solving EIV model for the three-dimensional small-angle coordinates transformation, the weight matrix of observation vector and coefficient matrix may be inaccurate because of the difference between their unit weight variances. So, the Helmert variance components estimation method is applied to resolve the problem with posterior estimation in the weighted total least squares (WTLS). Thus, the weight matrix of observation vector and coefficient matrix should be redistributed, so that the calculation model will be more reasonable. The calculated example proves that the new method can improve the precision of the coordinate transformation parameters and the parameter estimations are closer to true values.
WANG Zhu’an,CHEN Yi,MAO Pengyu. The Application of the Posterior Estimation on Weighted Total Least-Squares to Three Dimensional-Datum Transformation[J]. jgg, 2018, 38(2): 216-220.