Fitting and reconstruction of three-dimensional curve based on orthogonal curvature

Taking the active monitoring survey for the configuration of higher performance crafts as the research background and the flexible rod based on the fiber Bragg grating sensor Array as a model for the experiment, a fitting and reconstruction method for three dimensional space curve based on the orthogonal curvature is researched and analyzed in this paper. After giving a sketch of the curvature detection principle of the orthogonal distributed fiber Bragg grating as well as analyzing and constructing of the moving coordinate system for the space curve from the view of differential geometry, fitting and reconstruction method for three-dimensional curve is analyzed with detailed algorithm processes and implementation steps, meanwhile, approaches making discrete curvature continuous is presented and analyzed in this paper. With Visual C++ and OpenGL, a visual simulation platform for analyzing and verifying the method and processes of the algorithm is developed. In addition, effects comparison of the graphical reconstruction for the shape of space curves made up by different curvature simulation data is presented on the basis of three types of method making discrete curvature continuous. Simulation results not only verify the efficiency of the reconstruction method and the experimental processes, but also obtain the related beneficial results about discrete curvature continuous methods.