中文摘要：

为了修正广角镜头的桶形畸变,提出了一种基于二元二次多项式的修正方法,阐述了其图像的像素坐标校正和像素灰度恢复方法。该方法首先用模板对广角镜头进行对准相对标定,然后用二元二次多项式拟合畸变图像与非畸变图像像素坐标之间的规律,最后把该方法应用于某广角镜头拍摄的图像,并采用最小二乘法对校正效果进行评价。结果表明：在不考虑视觉系统具体参数的情况下,该方法能够有效地对广角镜头桶形畸变进行修正。

英文摘要：

In order to correct the barrel distortion due to wide-angle lenses,a new correction method based on a duality quadratic polynomial is proposed,and the methods of pixel coordinate correction and gray scale restoration are clarified. Firstly,the wide-angle lens is relatively calibrated by a template. Secondly,the duality quadratic polynomial is used to fit the rules of pixel coordinate between distortion image and perfect image. Lastly,the method is used in the image shot by a wide-angle lenses,and the least squared method is used to evaluation of the correction result. The results show that the method can correct the barrel distortion of wide-angle lenses efficiently without taking into account the parameters of the vision system.