针对多芯光纤三维位型重构问题,提出了一种基于螺旋多芯光纤和Bishop标架的三维位形重构方法。分析了基于螺旋多芯光纤和Bishop标架的三维位形重构算法原理,实验采用了螺旋多芯光纤布拉格光栅(Fiber Bragg gating,FBG)阵列传感,通过光谱漂移计算各个纤芯的应变值,并根据节点截面应变关系模型实现了纤芯曲率和扭转角解算,最后,结合Bishop迭代计算得到光纤整体位形,实现了形状重构。进行了4种形状的重构实验,最大三维重构绝对误差为3.11mm。实验结果表明,基于Bishop-HMCF的形状重构方法能够实现三维位形重构,在柔性机构末端定位和导航上具有重要的研究意义与应用价值。

Aiming at the problem of three-dimensional shape reconstruction of multi-core optical fiber, a three-dimensional shape reconstruction method based on helical multi-core optical fiber and Bishop frame is proposed. The principle of 3D position reconstruction method based on HMCF and Bishop frame was analyzed. The Fiber Bragg grating (FBG) array sensing was used to calculate the strain of each fiber core through spectral drift. The core curvature and torsion angle solution were calculated according to the node section strain relationship model. Four shape reconstruction experiments were carried out, and the maximum absolute error of 3D reconstruction was 3.11mm. The experimental results show that the shape reconstruction method based on Bishop-HMCF can realize 3D shape reconstruction, which has important research significance and application value in the end positioning and navigation of flexible mechanism.