On least-squares solution to 3D similarity transformation problem under Gauss-Helmert model
On least-squares solution to 3D similarity transformation problem under Gauss-Helmert model
复制标题
高斯-赫尔默特模型下三维相似变换问题的最小二乘解
DOI：
10.1007/s00190-015-0799-z
复制
发表时间：
2015-06-01
影响因子：
4.4
通讯作者：
Chang, Guobin
中科院分区：
文献类型：
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作者：
Chang, Guobin
在本文中，研究了具有高斯 - 赫尔默特模型的三维相似基准转换问题，也称为三维对称赫尔默特转换。推导了该问题的闭式最小二乘解，即无需迭代的解。发现此解中的旋转参数与具有高斯 - 马尔可夫模型的转换中的旋转参数相同，而尺度和平移参数则彼此不同。
In this note, the 3D similarity datum transformation problem with Gauss-Helmert model, also known as the 3D symmetric Helmert transformation, is studied. The closed-form least-squares solution, i.e., without iteration, to this problem is derived. It is found that the rotation parameters in this solution are the same to that for the transformation with Gauss-Markov model, while the scale and translation parameters differ from each other.