径向畸变摄像机的标定

本文研究摄像机径向畸变的外部参数的标定问题。首先讨论摄像机畸变的类型，然后建立摄像机畸变的数学模型，给出畸变函数是一阶形式的模型，并且给出了适用于数学软件求解外部参数的模型。最后，通过平面薄板上五个圆在摄像机上的成像，提取图像上的数据，利用Lingo软件求出摄像机的外部参数。这种方法对实验条件要求低，求解速度快。不仅可以求解摄相机畸变的标定问题，而且可以求解变焦距的标定问题。

Camera Calibration With the Radial Distortion

In this paper, the problem of the external parameters of, the camera calibration with the radial distortion is discussed. First, the type of camera distortion is discuss, and then a mathematical model of camera distortion is established, as well as a model with the first-order distortion function is given. Second, a mathematical model which could be solved by some software is given. Finally, by the image of the five circle on a flat sheet, the extract image data is got and the external camera parameters are obtained by Lingo software. The experimental conditions of this method are less required and the speed of the calculation is fast. This methode not only solve the problem of zoom, but also solve the camera calibration problem with distortion.