Fiber Optical Shape Sensor based on Differential Geometry

Fiber optical shape sensor has been widely used in industry because of its high stability and compatibility, and its shape reconstruction algorithm has always been the focus of scientific research, but their effectiveness in practical applications has not been discussed in detail. The article investigated shape measurement method of sensing optical fiber based on differential geometry, and discusses the measurement principle of Frenet frame and Rotation Minimizing Frame(RMF) in optical fiber shape sensor, compares the application effects of the above two methods. Analysing the applicability of the two methods in practical engineering application when the sensing fiber is in different deformation forms. This article focuses on the practical application ability of two reconstruction algorithms based on differential geometry, hoping to play a reference role in the engineering application of optical fiber sensors.