多面函数法在确定局部似大地水准面中的应用研究

摘要

At the local regional geoid determination, the application of mathematical model to compute abnormal height is a method commonly used in engineering. This paper focuses on the double-curved, inverted double-curved surface, cubic surface of three different kernel functions fitting the multi-faceted function to compare and research the issue about how to select the best smoothing factor. The results show that the three methods is feasibility in determining more complex terrain regional geoid.%在局部区域似大地水准面的确定中，应用数学模型来求取高程异常，是工程中常用的方法。对正双曲面、倒双曲面、三次曲面三种不同核函数的多面函数拟合法最佳光滑因子的选取问题进行了比较研究。通过对地形复杂矿区工程实例分析，表明了三种方法在地形较复杂区域似大地水准面确定中的可行性。