利用赫尔默特方差估计法精化三维基准转换参数

Refining the 3D Coordinate Transformation Parameters with Helmert Variance Estimation Method

摘要: 针对加权整体最小二乘(WTLS)在两套坐标获取方式不同时定权的不精确性，提出利用赫尔默特方差估计法确定两类坐标的权，并推导了用于坐标转换的赫尔默特方差估计法的具体公式。实验表明：利用赫尔默特方差估计方法能够得到更加精确、更为合理的参数解。 According to the inaccuracy existed in weight-determination when original and object coordinates’ acquisition methods are different with WTLS, Helmert Variance Estimation Method is employed to determine two kinds of coordinates’ weight. And then, the specific formula of Helmert Variance Estimation Method which is suitable for 3D coordinate transformation is deduced. The numerical test proved that more reasonable and more precision results can be obtained with our method.