基于虚拟立体靶标的线阵相机标定与分析

针对线阵相机的特点，论文提出了一种线阵相机标定方法。首先，利用设计的平面靶标与相机多次曝光巧妙地构建了虚拟立体标定靶标，通过分析与数学建模得到靶标上标定特征点空间位置与像点的对应关系；其次，分别使用最小二乘法与迭代求解的方法对多个特征点的线性参数超定方程与镜头的非线性畸变参数进行求解，讨论了标定过程中相机与靶标非严格平行时对标定结果的影响；最后，实验室条件下使用论文设计的靶标与方法对线阵相机标定进行实验验证。理论分析与实验结果表明此线阵相机标定方法简单灵活，标定特征点个数不拘泥于靶标的制作，相机与靶标的位置无需严格平行，标定精度高，且具有较好良好的实用工程应用价值。

Calibration and analysis of line-scan camera based on virtual stereo pattern

A novel method that can be used for improving line-scan camera calibration according to its features was proposed. Firstly, the designed planar pattern and multiple exposures of line-scan camera were used to produce a virtual stereo calibration pattern. Secondly, a mathematical model was analyzed and established to seize the relation between the coordinates of calibration points on the pattern and those of their images. Then, the technique of least mean square and iterative optimization were employed to solve both the over-determined equations for multiple feature pointsand nonlinear parameters of lens. The impact to the calibration result that was caused by the non-parallel nature between the camera and calibration pattern was also analyzed. Finally, both the analysis and experimental results reveal that this proposed calibration method is not only convenient and flexible, but the calibration points are also independent of calibration pattern and that the condition of parallelism is not required. All these features make the devised method accurate and practical.