| 圆心不对称投影修正的相机标定 |
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| 引用本文： | 刘泉,苏杭.圆心不对称投影修正的相机标定[J].光学精密工程,2009,17(12). |
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| 作者姓名： | 刘泉 苏杭 |
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| 作者单位： | 武汉理工大学,信息工程学院,湖北,武汉,430070 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 采用圆心作控制点的相机标定方法需要修正由不对称投影引起的投影误差,以提高标定精度.本文根据成像模型推导了基于直接线性变换法的投影误差计算公式.提出了先估计投影变换矩阵,直接用其元素计算空间圆在图像平面上的投影,对圆心的图像坐标进行修正后,再次计算投影变换矩阵.该方法无需矩阵分解,避免了不同坐标系的转换.模拟实验结果证明了投影误差计算公式的正确性.实际实验表明,在相机分辨率为780 pixel×582 pixel,空间圆半径为20 mm时,修正误差后的标定误差为0.19 pixel,优于未修正时的误差0.20 pixel,结果表明该方法可行有效.
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| 关 键 词： | 相机标定 直接线性变换 投影转换矩阵 不对称投影 畸变修正 |
Camera calibration based on correction of asymmetric circle center projection |
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| LIU Quan,SU Hang.Camera calibration based on correction of asymmetric circle center projection[J].Optics and Precision Engineering,2009,17(12). |
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| Authors: | LIU Quan SU Hang |
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| Affiliation: | LIU Quan,SU Hang (School of Information Engineering,Wuhan University of Technology,Wuhan 430070,China) |
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| Abstract: | In order to improve the calibration accuracy,the camera calibration method using a circular center as the control point needs to correct bias errors caused by the asymmetric projection. This paper deduces the mathematical formulations of correction terms based on the Direct Linear Transform(DLT) to calculate projection errors. The perspective transform matrix is firstly estimated by using DLT method, and then the projection of the circle is obtained directly by the elements of perspective transform matrix. ... |
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| Keywords: | camera calibration Direct Linear Transform(DLT) perspective transformation matrix asymmetric projection bias correction |
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