多面函数法与移动法的加权综合模型在GPS水准中的应用

Application of combining multisurface function andmovement method in GPS leveling

由于GPS水准的多种函数逼近模型有其使用的条件和范围,但在使用单一拟合模型逼近高程异常曲面时,不可避免会顾此失彼,使计算结果的精度和可靠性降低。为了提高似大地水准面的精度,本文提出了应用多面函数法与移动法的综合模型来逼近高程异常曲面的方法,其基本思想是:用相同的已测点的原始数据,分别采用多面函数法和移动法来逼近GPS网中未测点的高程异常值,然后在单一模型逼近结果的基础上进行加权综合。通过对实测数据的计算分析可发现,多面函数法与移动法的加权综合模型的逼近结果比单一模型的逼近结果有了较大的提高,因此可见综合模型对于局部平原地区解决GPS高程转化为正常高是有使用价值的。

Since various function model of GPS leveling has specified applied conditions and bound in approximating abnormal height curved surface,but, a simple imitated mode is used in approximating abnormal height curved surface, ineluctable is sure to attend to one thing and lose another,employ bate of calculative product precision and credibility,it advanced a method that Combining Model on the basis of Multisurface Function and Method of movement to improve precision of quasi geoid. By means of counted and analyzed to the practical surveying datum,that basic idea is:use same known point of original data,leave each other adopt a method that Combining Model on the basis of Multisurface Function approach GPS leveling in approximating abnormal height curved surface of the unknown point,next,that carry out Combining Model in imminent a result of simple imitated mode,it was made out that Combining Model was considerable improvement than other simple models in approximating abnormal height curved surface. So it has use value in solving transform GPS height in part plain areas into normal height.