薄板样条与大区域高程异常插值

精确确定高程异常是将大地高转换成正常高的基础,也是制约GPS应用于高程测量的关键。目前诸多高程异常的内插或拟合方法都有其局限性与适用条件,尤其对于大区域范围内的高程异常插值没有一个好的办法。本文利用薄板样条在二维曲面插值中的优越性,提出了大区域高程异常插值的薄板样条法,简要介绍了薄板样条理论,给出了薄板样条的实用计算方法,并用模拟算例与样条法进行对比,表明了该方法的可行性与优越性。

Thin plate spline interpolation and modeling of height anomaly of large area

Precise height anomaly measuring is not only the basis for transforming Geoid height into normal height,but also is the key to GPS application in leveling.Many existing methods of height anomaly interpolation have their own disadvantage and their special applicability.Especially there is no a good method for height anomaly interpolation in large area.In this paper,a new method,TPS is proposed to interpolate height anomaly interpolation in large area.The TPS theory is given in brief and the computing method is developed.Finally,an example is given and the result indicates that TPS method is feasible.