边长变化反演应变参数的总体最小二乘方法

Inversion of Strain Parameter Using Distance Changes Based on Total Least Squares

根据总体最小二乘原则,推导了同时顾及边长变化及测线方位角量测误差的应变参数反演的总体最小二乘方法,并给出了精度评定公式。实际算例计算结果分析表明,应用总体最小二乘方法可以得到更合理的应变参数反演结果,特别是参数精度评定方面;对于系数矩阵中含有常数列时,必须将该常数列取出,否则得到的解是错误的。

Inversion of parameter based on total least squares（TLS） is investigated. Strain parameters TLS inversion method is deduced, and the errors of distance changes and azimuthal angles are considered. The method of precision evaluation is given. Through the examples, the strain parameters based on total least squares are more reasonable. If there are constant columns in the coefficient matrix, they must be removalled. Otherwise, the obtained parameters are wrong using the TLS. Because the errors are distributed to the con stant columns.