Reconstruction of three-dimensional curve by discrete curvature based on B-spline

Three dimensional curve reconstruction of a fiber Bragg grating (FBG) intelligent smart rod is implemented using B-spline interpolated orthogonal curvatures. By introducing the sketch of curvature detection principle of the orthogonal distributed fiber Bragg grating, this paper proposed the detailed algorithm processes and implementation steps of the B-spline curve fitting algorithm for curvature continuity as well as the recursive algorithm for coordinate fitting. Finally, a visual simulation platform for analyzing and verifying the method and processes of the algorithm was developed with Visual Studio 2005 and OpenGL technology. Simulation results show that B-spline fitting algorithm has better graphical reconstruction effects comparing with the linear interpolation algorithm, with the characteristics of high precision and low error.