基于数据插值预测路基沉降及误差分析  

Subgrade Settlement Prediction Based on Data Interpolation and Error Analysis

作　　者：宋光浩 SONG Guanghao(The eighth Geological Brigade of Hebei Bureau of Geology and Mineral Resources Exploration,Qinhuangdao 066000,China)

机构地区：[1]河北省地质矿产勘查开发局第八地质大队,河北秦皇岛066000

出　　处：《地理空间信息》2022年第4期175-177,共3页Geospatial Information

摘　　要：路基沉降通常选取拟合模型结合实测数据进行预测,但拟合模型不能完全符合实测数据的沉降分布,在各个已知点上均存在误差。选取多种插值模型对路基沉降数据进行内插预测,由于插值模型在已知点上不存在误差,一定程度上提高了内插预测的精度。结果表明,三次样条插值预测精度最高,平均相对误差仅为0.5461%,拉格朗日插值与牛顿插值精度相当,平均相对误差约为0.6114%。Fitting model is usually selected to predict the subgrade settlement in combination with measurement data,but the fitting model cannot fully meet the settlement distribution of measurement data.There are errors in each known point.In this paper,a variety of interpolation models were selected to predict the subgrade settlement data.Because there is no error in the interpolation model known points,the interpolation prediction accuracy is improved to a certain extent.The results show that cubic spline interpolation has the highest prediction accuracy,and the average relative error is only 0.5461%.Lagrange interpolation and Newton interpolation have the same accuracy,and the average relative error is about 0.6114%.

关 键 词：路基沉降 三次样条插值 拉格朗日插值 牛顿插值 分段三次Hermite插值 

分 类 号：P258[天文地球—测绘科学与技术]