Accurate linear technique for camera calibration considering lens distortion by solving an eigenvalue problem
Accurate linear technique for camera calibration considering lens distortion by solving an eigenvalue problem
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DOI：
10.1117/12.60087
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发表时间：
1993
影响因子：
1.3
通讯作者：
S. Shih;Y. Hung;Wei-Song Lin
中科院分区：
文献类型：
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作者：
S. Shih;Y. Hung;Wei-Song Lin
提出了一种高精度、低计算成本的摄像机标定新方法。考虑的几何相机参数包括相机的位置，方向，焦距，径向透镜畸变，像素大小，光轴穿刺点。该方法将待估计的相机参数分为两部分：径向透镜畸变系数κ和由上述除κ以外的所有相机几何参数组成的复合参数向量c。而不是使用非线性优化技术，κ的估计被转换成一个8 × 8矩阵的特征值问题。该方法快速，因为它只需要线性计算；它是准确的，因为它考虑了透镜畸变的影响，因为它使用了所有包含在校准点中的信息。计算机仿真和实际实验表明，该标定方法在三维测量中可达到万分之一的精度，优于蔡r . Y.提出的著名方法。
A new technique for calibrating a camera with high accuracy and low computational cost is proposed. The geometric camera parameters considered include camera position, orientation, focal length, radial lens distortion, pixel size, and optical axis piercing point. With this method, the camera parameters to be estimated are divided into two parts: the radial lens distortion coefficient κ and a composite parameter vector c composed of all the above-mentioned geometric camera parameters other than κ. Instead of using nonlinear optimization techniques, the estimation of κ is transformed into an eigenvalue problem of an 8 x 8 matrix. The method is fast because it requires only linear computation; it is accurate because the effect of the lens distortion is considered and because all the information contained in the calibration points is used. Computer simulations and real experiments show that the calibration method can achieve an accuracy of 1 part in 10,000 in 3-D measurement, which is better than that of the well-known method proposed by R. Y. Tsai.