摘要
本文在详细阐述多面函数模型原理的基础上,以西秦岭地区近40年的精密水准数据计算得到的垂直速率作为研究对象,对该模型在地壳形变拟合中的应用进行了深入研究。通过多种核函数建模的比较分析,认为正双曲面模型能够得到最优的拟合效果;通过与二次多项式拟合模型的比较分析,发现多面函数拟合结果能够较好地反映地壳形变的趋势,但速率异常点的选取会对其拟合结果产生影响。
This paper analyzed on the application of the multiple-surface function model on crustal deformation fitting and took the vertical deformation rate calculated by precise leveling data of nearly forty years in western Qinling mountain area as the research object. Comparing with several models on constructing the multiple-surface function model, it was shown that hypoid model would be the best choice as the kernel function. Through the comparison with the second polynomial fitting model, it was found that the fitting result of multiple-surface function model could reflect the tendency of the crustal deformation, but the choice of abnormal points would affect the fitting results.
出处
《测绘科学》
CSCD
北大核心
2014年第4期61-63,共3页
Science of Surveying and Mapping
关键词
垂直形变
拟合模型
多面函数
核函数
vertical deformation
fitting model
multiple-surface function
kernel function
