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- 2018
三维坐标转换的高斯-赫尔默特模型及其抗差解法
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Abstract:
对三维坐标转换的高斯-赫尔默特（Gauss-Helmert，GH）模型，采用牛顿-高斯（Newton-Gauss）迭代算法构建了该模型的拉格朗日目标函数，推导了其解算方法，并给出了具体的计算步骤。在此基础上，考虑到可能出现的粗差对观测空间与结构空间的综合影响，基于标准化残差构造权因子函数，推导了该模型的抗差解法。仿真实验结果表明，GH模型用于三维坐标转换时不受旋转角度大小和其他附加条件限制，解算结果与现有算法一致，且估计参数的维数大大降低，计算效率有一定程度的提高；所提出的抗差解法效果良好，与现有基于整体最小二乘的三维坐标转换的抗差解法相比，表现出了更好的稳健性
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