提出一种基于选权迭代的TLS算法,通过IGG I函数进行定权,降低含粗差观测值的权值,在进行三维坐标转换时能有效地处理观测值粗差。实例证明,该算法可以获取更高精度的三维坐标转换参数。
Users of the least squares algorithm (LS) coordinate transformation, usually focus on ob- servation errors, but errors of the model coefficient matrix are ignored. Although total least squares algorithm (TLS) could take into account the errors of observations and the coefficient matrix, it cannot solve the problem of gross errors effectively if we start with coordinate data and observations with gross error. Through the IGG I function, which gives the right of the observation to reduce the weights of the observation with gross errors, this article presents a kind of TLS algorithm based on reweighting iteration. During the three-dimensional coordinate conversion we can deal with the observations of gross errors effectively, and it is proven through example that the TLS algorithm based on reweighting iteration can get a more accurate three-dimensional coordinate conversion parameter.