基于本质矩阵的摄像机自标定方法

江泽涛; 吴文欢

doi:10.11834/jig.20100404

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基于本质矩阵的摄像机自标定方法
An Essential Matrixbased Camera Self Calibration Method
2010年15卷第4期页码：565
纸质出版：2010
DOI： 10.11834/jig.20100404
稿件说明：

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江泽涛, 吴文欢. 基于本质矩阵的摄像机自标定方法[J]. 中国图象图形学报, 2010,15(4):565. DOI： 10.11834/jig.20100404.

JIANG Zetao, WU Wenhuan. An Essential Matrixbased Camera Self Calibration Method[J]. Journal of Image and Graphics, 2010, 15(4): 565. DOI： 10.11834/jig.20100404.

摘要

本质矩阵描述了在摄像机内参数矩阵已知的条件下的对极几何关系，是归一化图像坐标下的基础矩阵。鉴于本质矩阵具有两相等的非零奇异值，提出了一种基于本质矩阵的自标定方法，该方法首先利用本质矩阵这个特性来构造目标函数，考虑到传统非线性优化算法的诸多不足，最后用粒子群优化算法来求解。实验结果表明，该方法精度较高、鲁棒性较强，是一种简单而有效的自标定方法。

Abstract

The essential matrix

which is a fundamental matrix described in the normalized image coordinate

represents the epipolar geometry relation under the condition of known camera intrinsic parameters It is well known

two non-zero singular values of the essential matrix must be equal. Therefore

according to the intrinsic property

an essential matrix-based self-calibration approach is for proposed the first time in this paper. First

the objective function is constructed by the intrinsic property of the essential matrix. Second

the particle swarm optimization is used to solve the objective function considering the drawbacks of traditional optimization algorithms. Analytical results show that the proposed method is not only highly accurate but also robust. Consequently

it is a simple but valid self-calibration method