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一种基于三正交约束的摄像机标定方法
引用本文:任亮,邱天爽.一种基于三正交约束的摄像机标定方法[J].电子学报,2014,42(10):2050-2054.
作者姓名:任亮  邱天爽
作者单位:大连理工大学电子信息与电气工程学部, 辽宁大连 116024
基金项目:国家自然科学基金(No .61172108,No .61139001);国家科技支撑计划
摘    要:提出一种基于三正交约束的摄像机标定方法.设定摄像机坐标系为世界坐标系,标定摄像机内参数中的5个未知量和1个投影缩放因子,设计一种由7个空间点组成的标定模板,在不需要已知标定模板线段长度的情况下,仅需要2幅以上不同姿态标定模板的图像即可根据三正交关系建立约束方程组,通过矩阵特征值分解,求得摄像机内参数的解析解.对同一个摄像机进行对比实验,本文标定结果与平面经典法标定结果的相对误差仅为1.3%左右,且仿真数据实验和真实图像实验的结果表明,该算法具有较高的标定精度和鲁棒性.

关 键 词:摄像机标定  投影方程  正交约束  封闭解  
收稿时间:2013-01-16

Camera Calibration Method Based on Three Orthogonal Constraints
REN Liang,QIU Tian-shuang.Camera Calibration Method Based on Three Orthogonal Constraints[J].Acta Electronica Sinica,2014,42(10):2050-2054.
Authors:REN Liang  QIU Tian-shuang
Affiliation:Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian, Liaoning 116024, China
Abstract:A camera calibration method based on three orthogonal constraints was presented for determining intrinsic parameters.Camera coordinate system was set as world coordinate system, so only 5 camera intrinsic parameters and 1 projection scale factor need to be solved.A calibration pattern containing 7 spatial points was developed which can be moved and rotated in the camera's field of view.At least 2 images were captured to set up constraint equations.Thus, camera intrinsic parameters can be solved in the closed-form solution based on matrix eigenvalue decomposition.In calibrating the same camera, the method performed the same as the classical plane-based calibration method, relative difference is about 1.3%.Experiments with both synthetic and real data show that our method has high accuracy and is robust.
Keywords:Camera calibration  projection equation  orthogonal constraint  closed-form solution
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