基于似大地水准面格网的插值方法及精度分析

INTERPOLATION METHODS AND ACCURACY ANALYSIS BASED ON GRID QUASI-GEOID MODEL

影响由似大地水准面模型进行GPS高程转换的因素有两个:GPS点大地高的测量精度和该点内插高程异常的精度。利用模拟以及某一区域似大地水准面模型比较了反距离加权插值、线性插值、谢别德插值以及切比雪夫插值方法用于GPS点高程异常内插的精度,结果表明:对于分辨率较高的似大地水准面,切比雪夫插值具有很好的内插效果。

There are two factors： affecting the accuracy of GPS height transformation based on quasi-geoid model,the geodetic height accuracy and interpolated height anomaly accuracy.On the basis of the simulation and practical quasi-geoid models,the effect and accuracy of GPS height anomaly interpolation are analyzed with four methods,including inverse distance interpolation,linear interpolation,Shepard interpolation and Chebyshev interpolation,the results show that the Chebyshev interpolation method is accurate and stable for the high resolution quasi-geoid model.