非线性三维基准转换的稳健估计

ROBUST ESTIMATION OF THREE DIMENSIONAL NONLINEAR DATUM TRANSFORMATION

三维基准转换广泛应用于大地测量和摄影测量。因为处理非线性的三维基准转换较困难 ,大多数情况下 ,是用线性的三维基准转换来解决问题 ,为此 ,提出了一种新的简便方法来处理非线性三维基准转换问题。该方法应用了稳健估计原理 ,使解算得到的转换参数更加稳定和可靠。最后给出了一个算例 ,计算结果表明新方法非常有效。

Three dimensional nonlinear datum transformation is widely used in geodesy and photogrammetry.In most cases linear model is used to process three dimensional datum transformations,because the nonlinear datum transformation model is much more complicated and difficult to process.In this paper, a new simple method in which particular robust estimation is used for processing three dimensional nonlinear datum transformations is presented.It makes the estimation of transformation parameters be more reliable and stable.A numerical example given to illustrate this method is effective and easy to understand.