基于稳健初值的抗差估计在公共点选取中的应用

摘要

在坐标转换中,由于环境或人为因素的影响,公共点坐标常含有粗差,导致转换较低。针对传统的最小二乘抗差估计对于较大粗差不够敏感的问题,提出了基于稳健初值的抗差估计法进行处理,并以实测数据为例研究了基于稳健初值的抗差估计的原理与应用。试验结果表明：基于稳健初值的抗差估计在含粗差公共点的定位方面具有较高的可靠性与准确性。%In the coordinate transformation,due to environmental or human factors,the public point coordinates would often contain gross errors,leading to lower conversion.As for the issue that traditional least square robust estimation to the gross errors is not sensitive enough,the robust estimation method based on robust initial value is presented here for processing,and the theory and application of the method are studied by using measured data.The results show that the robust estimation based on robust initial value has high reliability and accuracy in the positioning of the public points with gross errors.