The optical lens distortion correction method used in shooting range treats Quasi systematic error as the accidental error, and can only fit distorted curve in the local region, can not use a curved surface function to describe the problems such as the whole change characteristics of distortion accurately. To solve this problem, a method of least square collocation based on polyhedral function was proposed. Firstly, the method used polyhedral function to fit the trend term of the least squares collocation. Then, the unknown parameters of the empirical covariance function were obtained through the fitted residuals, and the covariance matrix was obtained. Finally, the correction value of the points to be corrected was solved by the collocation method. By using this method and traditional method to do the distortion correction of optical theodolite in the burst point coordinate test system partly, the results prove the effectiveness and feasibility of this method. The experimental results show that, compared with the traditional method, the proposed method can reflect the overall continuous change trend of the distortion value by using polyhedral function on a whole. The correction accuracy is in creased by 19.6 '' and 10.9 '' in the horizontal and vertical directions, respectively, to 11.7 '' and 7.7 ''. Through the analysis and verification of the experimental data, which proved that this method can effectively improve the measurement accuracy of optical testing equipment, to provide reference for correcting the distortion of wide field optical lens in shooting range.
