Direct discrete variational curve reconstruction from derivatives and its application to track subsidence measurements
Direct discrete variational curve reconstruction from derivatives and its application to track subsidence measurements
复制标题
从导数直接离散变分曲线重建及其在跟踪沉降测量中的应用
DOI：
10.1109/imtc.2011.5944013
复制
发表时间：
2011
期刊：
影响因子：
--
通讯作者：
J. Golser
中科院分区：
文献类型：
--
作者：
Paul OaLeary;M. Harker;J. Golser
本文提出了一种新的由导数重构曲线的直接离散变分方法。矩阵代数中的基函数和变分问题的表述简化了许多证明；包括围绕重建曲线的χ2可信区间。实现了同时进行空间重建和时间滤波。通过蒙特卡罗仿真验证了该方法的有效性，并将其应用于轨道沉陷的实时监测。在该应用中，沿轨道延伸安装了一串倾斜仪，在那里将对其进行监测。根据测量的导数重建表示轨道形状的曲线。
This paper presents a new direct discrete variational solution to curve reconstruction from derivatives. The formulation of basis functions and the variational problem in terms of matrix algebra has simplified many proofs; including the χ2 confidence interval surrounding the reconstructed curve. Simultaneous spatial reconstruction and temporal filtering is implemented. The Method is verified via Monte-Carlo simulations and also applied to the real-time monitoring of rail-track subsidence. In this application a string of inclinometers are mounted along the stretch of track where it will be monitored. The curve representing the form of the track is reconstructed from the measured derivatives.