基于仿射近似的摄像机标定

Camera Calibration Based on Affine Approximation

针对直接基于透视投影模型的标定算法计算量大、结果不稳定的事实,提出一种基于仿射投影矩阵的标定算法。算法首先线性解算仿射投影矩阵,然后分解出部分参数。在假定主点坐标等于图像中心的前提下,解算出其余参数,再以重投影图像点残差和为目标函数,对所有参数进行优化,获得精确的摄像机模型参数,达到精确、快速、稳定的标定目的。大量的仿真和真实图像实验证明算法比传统算法更稳定。

Considering the fact that the camera calibration method based on perspective projection model yield intricate and unstable result, a new calibration algorithm based on affine approximation was presented. The affine projection matrix was led out and then some parameters were decomposed. Under the presumption of taking image center as principal point, other parameters were solved. At last, all the parameters＇ precision was improved on the basis of the cost function of re-projection error. Simulation and real image experiments show that the new method can produce more stable result than the usual one.