中文摘要：

为了进一步提高相机一维标定线性算法的精度,提出一种最优加权线性算法.首先对相对深度的约束方程进行一次最优加权得到其新的估计量,并指出一次最优加权具有与迭代最优加权相当的精度以及更少的计算量;然后对绝对二次曲线的像的约束方程也进行一次最优加权,并通过对最优权进行适当的近似以进一步减少计算量.实验结果表明,该算法的标定精度比现有的加权线性算法的精度更高,与光束法平差算法的精度相当.

英文摘要：

This paper proposes an optimally weighted linear algorithm to further improve the accuracy of linear algorithm for camera calibration with 1Dobjects.A new estimator for the relative depths are proposed by optimally weighting their constraint equations only once,and it is shown that noniterative optimal weighting can ensure similar accuracy to iterative weighting as well as reduced computational cost;The constraint equations on the image of the absolute conic are also optimally weighted only once,where the optimal weights are appropriately simplified to further reduce the computational cost.The experimental results demonstrate that the calibration accuracy of the proposed algorithm is higher than that of the existing weighted linear algorithm,and is comparable to the accuracy of the bundle adjustment algorithm.