提出了一种畸变中心未知的非量测摄像机畸变标定新方法，该方法无须求解摄像机内外线性参数即可标定摄像机二阶多项式径向畸变校正模型。该方法分两步实现：将直线畸变成像的曲线的两个端点用直线段连接以形成闭合曲线，得到其面积值及端点与畸变参数及中心的近似关系，以此完成近似标定；依据该闭合曲线端点和当前畸变标定值，由畸变模型生成参考值对近似关系进行修正，准确逼近实际的畸变参数与中心。另外，设计了一种畸变校正指标函数，利用局部非线性优化方法进一步抑制了噪声对标定结果的影响。仿真和实际图像实验均表明该方法收敛快速，标定精度高。

A new method of non-metric camera distortion calibration is proposed, independent of the known imaging center, which is fit for the second order polynomial distortion calibration model. This method is made up of the following two steps. First, the curves distorted from straight lines are closed by adding straight-line segments, and areas of those curves are computed. Sencond, the relationship between these areas with ends and the distortion parameters with center are elicited, thus the approximate values of parameters are resolved. The above relationship is iteratively modified by the reference values according to the distortion model, based on the endpoints of these curves and the current calibration. Therefore, the distortion parameters and center are iteratively approaching the real values. Moreover, a target function of distortion calibration is designed, with local nonlinear optimization method, so as to reduce the image noise′s effect on calibration. Both simulations and real image tests show that this method can implement exact calibration with fast convergence.