Improved cubic Hermite interpolation method for settlement data in high-speed railway bridge pier
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.
data interpolationhigh-speed railway bridge pierimproved cubic Hermiteweighted least squaresinterpolation methods
万方数据
维普
