Abstract: To efficiently obtain the corneal curvature center of the three-dimentional (3D) gaze tracking technology and make the system satisfy the requirements of real-time accuracy and stability, two kinds of corneal curvature center models and the solution method are proposed in this paper. Firstly, two models, nonlinear equations model and the improved model, are established to solve the center by using optic theory and the characteristics of eyeballs. Secondly, in order to quickly solve these two models, a new hybrid algorithm (GA-LM) based on genetic algorithm and LM algorithm is constructed. Finally, numerical experiments show that the proposed models and GA-LM are effective, which can quickly and accurately obtain the corneal curvature center in the 3D gaze tracking system.

Key words: the center of corneal curvature, nonlinear equations model, optimization model, GA-LM algorithm, robustness