The Application of the Weighted Total Least Squares in Frame Transformation
ITRF transformation is a small-angle rectangular coordinate transformation.Generally,the parameters are estimated with the Bursa seven-parameter model by the least square method.Aiming at the situation that the coefficient matrix has constant elements and repeat-ed elements in the transformation,a weighted total least squares(WTLS)method suitable for ITRF transformation is proposed.The method considers the prior accuracy of the coordinates and uses the structure matrix to ensure the repeated term in the coefficient matrix have the same correction.The algorithm is implemented by iterative method.The real data calculation verifies that more accurate and precise transformation parameters for the proposed method are obtained compared with the least squares and the total least squares method.
ITRF transformationweighted total least squaresBursa modeliterative methodstructure matrix
万方数据
维普
