基于整体最小二乘法的GPS地质高程拟合研究

在测绘领域，关于整体最小二乘法的应用研究刚刚开始，受到众多学者的关注，如何提高测量数据处理的精确度与稳定性是目前面临的根本任务，将整体最小二乘法应用于GPS高程的拟合中，对拟合函数进行参数求解，并且该方法解算结果与传统最小二乘法解算结果进行对比分析，研究得出:模型以二次曲面模型为依据，对测量数据进行计算，计算结果与传统的最小二乘法相比，整体最小二乘法建立的模型更加合理、更加严密；对具体数据进行算例解算分析，并应用于平面模型与曲面模型中，然后通过整体最小二乘法与传统最小二乘法进行对比分析，采用整体最小二乘法进行GPS高程拟合得到的拟合结果更加贴近实际情况、更加准确。

Study on GPS geopotential fitting based on global least square method

In the field of surveying and mapping，the application research on the global least squares method has just begun，and it has attracted the attention of many scholars.How to improve the accuracy and stability of measurement data processing was the fundamental task at present，and the application of the global least squares method to GPS elevation In the middle，the fitting function was solved，and the solution result was compared with the traditional least squares solution.The research results showed that the model was based on the quadric model and the measurement data was calculated.Compared with the traditional least squares method，the model established by the global least squares method was more reasonable and more rigorous；the specific data was solved and analyzed in the plane model and the surface model，and then the whole least squares method and the tradition were adopted.The least squares method was used for comparative analysis.The fitting result obtained by GPS elevation fitting using the overall least squares is closer to the actual situation and more accurate.