引入曲率与角度校正的柔性机构三维形状多芯光纤重构方法

为提高柔性机构三维位形参数光纤测量精度，提出了基于曲率与角度校正的多芯光纤三维形状重构方法。通过引入方向角和曲率校正系数，改进了柔性三维形变多芯光纤重构算法；利用准分子激光器和相位掩膜法制备了多芯光纤光栅传感阵列，建立了多芯光纤三维形状重构实验系统；实验测量了不同曲率比例因子下的形状重构误差，分析了曲率与角度校正前后形状重构误差；通过对应变进行了三次样条插值，并对方向角和曲率进行了校正，得到了形状重构误差平均值为0.74 mm、最大值为1.64 mm；利用校正后的多芯光纤传感系统进行三维螺旋形变重构实验，得出重构精度提高了10.2%。研究结果表明，基于曲率与角度校正的多芯光纤三维形状重构方法具有更高精度，在柔性机构三维位形实时监测中具有应用前景。

Three-dimensional shape multi-core fiber reconstruction method of flexible mechanism by introducing curvature and angle correction

In order to improve the measurement accuracy of the three-dimensional shape of the flexible mechanism, a multi-core optical fiber three-dimensional shape reconstruction method based on curvature and angle correction was proposed. By introducing directional angle and curvature correction coefficients, the flexible three-dimensional deformation multi-core fiber reconstruction algorithm was improved; the multi-core fiber grating sensing array was fabricated by using excimer laser and phase mask method, and the multi-core fiber three-dimensional shape reconstruction experiment system was established; the shape reconstruction error under different curvature scale factors was measured in the experiment, and the shape reconstruction error before and after the curvature and angle correction was analyzed; Through the cubic spline interpolation of the strain and the correction of the direction angle and curvature, the average value of shape reconstruction error was 0.74 mm and the maximum value was 1.64 mm; By using the calibrated multi-core optical fiber sensing system to carry out the three-dimensional helix deformation reconstruction experiment, the reconstruction accuracy was improved by 10.2%. The research results show that the multi-core optical fiber 3D shape reconstruction method based on curvature and angle correction has higher accuracy, showing important application prospects and values in real-time monitoring of the 3D shape of flexible mechanisms.