Fiber optic 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. 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.