基于Bishop框架的曲线形状重构方法研究

Research on Curve Shape Reconstruction Method Based on the Bishop Framework

本文介绍了一种基于Bishop框架的分布式多芯光纤形状重构方法;设计了通过多芯光纤采集的应变数据获取光纤曲率信息的计算方法,并结合Bishop框架重建曲线方程;利用仿真,提取弯曲三芯光纤各纤芯轴向应变,并代入算法进行验证。结果表明:该方法最大重构位置误差出现在光纤末端,为2.574mm,最大单位长度误差为0.468%,能较好地对光纤形状进行重构。

This paper introduces a distributed multi-core fiber shape reconstruction method based on Bishop framework.The calculation method of fiber curvature information obtained from strain data collected by multi-core fiber is designed,and the curve equation is reconstructed with Bishop frame.Based on the simulation,the axial strain of the bent three-core fiber is extracted and verified by the algorithm.The results show that the maximum position error of the proposed method is 2.574mm at the end of the fiber,and the maximum unit length error is 0.468%,which can be used to reconstruct the shape of the fiber.