GPS高程拟合方法的研究

本文在76个拥有GPS大地高和正常高的已知的公共点作为原始数据的基础上,采用二次曲面拟合法、二次曲面加权法、二次曲面多面函数法、二次曲面最小二乘法来建立研究区的似大地水准面,通过实例发现,二次曲面加权法、二次曲面多面函数法、二次曲面最小二乘配置法与二次曲面拟合法进行比较,外检验点中误差的精度得到提高,并且二次曲面拟合所得到的残差值比较大的点精度有明显的提高,同时改善了模型,证明这种组合方法在GPS水准拟合方面有效、可行。

Studying on GPS elevation fitting method

With 76 public points with data of geodetic height and normal height are known point,the paper used quadric surface fitting、quadric surface weighted methods、quadric surface multi-surface function method、quadric surface least square method to build the region quasi-geoid.Through the examples it was found that,comparing with quadric surface fitting,quadric surface weighted methods,quadric multi-faceted function method,and quadric surface least square method could make the accuracy of fitting mean square error of extra-checkpoint improved,and improve the accuracy of relatively large residual points.Meanwhile,the fitting model was improved.It was proved that this combination of methods in the GPS fitting was effective and feasible.