超广角光学镜头畸变的约束最小二乘优化

Constraint least square optimization for distortion of an ultra-wide-angle optical lens

在普通最小二乘算法的基础上,根据短焦距、超广角光学镜头的实际特性,在线性回归方程组中添加约束条件,并借助 MATLAB Optimization 工具箱求得拟合的结果。计算结果表明, 该方法减小了测量误差对计算结果的影响,改善了畸变随视场的分布,使计算结果更加合理。

On the basis of common least square method, some constraint conditions are added in linear regression equation set and the fitting results have been obtained by means of MATLAB Optimization tool case according to the practical properties of a ultrawide-angle optical lens with short focal length. The calculation results show that the method reduces the effect of measurement error of calculation results and improves distortion distribution in field of view, thus the calculation results are more reasonable.