To address the issue of Non-Equal Interval time settlement observations of high-speed railway bridge pier,this paper proposes an Improved cubic Hermite.Instead of using the conventional slope estimation method,this approach utilizes derivatives calculated from a weighted least squares fit of a third-degree polynomial to compute slopes,thereby considering the overall trend of observations and improving method performance.By comparing the Improved cubic Hermite with five traditional methods using both simulated and real-world settlement data from high-speed railway bridge pier,experimental results show that our proposed method uprates the average absolute error(MAE),root mean square error(RMSE),and mean absolute percentage error(MAPE)by an average of 8.802%,11.456%,and 6.972%across experiments of engineering examples compared to the best-performing linear interpolation method among the other five methods,indicating that our method yields more accurate interpolation results.
关键词
数据插值/高铁桥墩/改进三次Hermite/加权最小二乘/插值方法
Key words
data interpolation/high-speed railway bridge pier/improved cubic Hermite/weighted least squares/interpolation methods