中文摘要：

首先介绍了一维Vondrak滤波、二维Vondrak滤波以及他们的最小二乘解,并尝试将二维Vondrak滤波与多面函数拟合相结合应用到高程异常拟合中。最终实例证明了此种滤波方法在高程异常拟合的应用中是可行的,其与单纯的多面函数拟合法相比,精度都有很大的提高,最大的提高了88.2%,平均提高了32.9%,中误差提高了11.8%。

英文摘要：

The radical principle of 1-D Vondrak filter and 2-D Vondrak filter together with their least square solution was introduced first. The Vondrak filter can preserve the original attributes of the observational data while, at the same time, smooth out the noise. 2-D vondrak filter combined with the muhisurface function is proposed for the height anomaly fitting. The experimental result shows that it is a practicable method. Compared with the muhisurface function fitting method, the accuracy of the new method have been greatly improved up to 88.2% , while the mean accuracy improved to 32.9% , the standard error improved to 11.8%.