基于三次样条插值和遗传算法的光纤传感器的平面曲线重构

Plane Curve Reconstruction of Fiber Optic Sensors Based on Cubic Spline Interpolation and Genetic Algorithm

摘要: 随着我国光纤及光通信技术不断发展，光纤传感技术这种新型传感器技术也不断发展起来。本文通过分析处理固定间距传感器的波长测量数据，构建三次样条插值模型来估算平面光栅各个传感点的曲率，并在此基础上通过牛顿法和遗传算法进一步重构平面曲线并分析其特点以及重构曲线与原始曲线出现误差的原因。最后分别对模型进行了检验和灵敏度分析，验证了模型的合理性和有效性。

Abstract: With the continuous advancement of fiber and optical communication technologies in China, fiber optic sensing technology, a new type of sensor technology, is also developing rapidly. This paper constructs a cubic spline interpolation model by analyzing and processing the wavelength measurement data of sensors with fixed spacing to estimate the curvature at each sensing point on the plane grating. Based on this, the Newton method and genetic algorithm are used to further reconstruct the plane curve, and the characteristics of the curve, as well as the reasons for the errors between the reconstructed curve and the original curve, are analyzed. Finally, the model is tested and sensitivity analysis is conducted to validate the rationality and effectiveness of the model.