| 一种基于Hough变换的对极几何稳健估计算法 |
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| 作者单位： | 信息工程大学测绘学院，信息工程大学测绘学院，信息工程大学测绘学院，信息工程大学测绘学院 河南郑州450052，61512部队，北京100088，河南郑州450052，河南郑州450052，河南郑州450052 |
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| 摘 要： | 从基本矩阵的性质和作用出发,首先从理论上证明了如果在一条2维直线上有多于给定的3个以上的匹配点,多余的点将被视为冗余点不能用作匹配点;然后针对该问题引入了Hough变换算法,在建立匹配点对应关系的同时剔除冗余的共线点。实验表明,用改进后的算法估计出的基本矩阵在平均余差和对极距离上都小于改进前的算法,提高了基本矩阵的估计精度和稳定性。
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| 关 键 词： | 基本矩阵 对极几何 共线点冗余 Hough变换 |
Robust Estimation Algorithm of Epipolar Geometry Through Hough Transform |
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| Authors: | SHAN Hai-tao MA Shu-yu HAO Xiang-yang LI Da-wei |
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| Institution: | SHAN Hai-tao1,2,MA Shu-yu1,HAO Xiang-yang1,LI Da-wei1 |
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| Abstract: | The paper begined with analyzing the characters and functions of the fundamental matrix,and firstly proved that if there was more than matching points three in a single two-dimension line,the extra points wouldl be regarded as redundant points in theory.Those points were not used as matching points.Then in order to eliminate those collinear redundant points at the same time of establishing the corresponding relationship among those matching points,especially on images which there were many line features,the author introduced the Hough transform algorithm.Finally,the experiments showed the average epipolar distance and residual errors of the fundamental matrix which was estimated with the improved algorithm in which the redundant points were eliminated was less than that of using the previous algorithm.The accuracy and robustness of estimation were improved evidently. |
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| Keywords: | fundamental matrix epipolar geometry collinear point redundancy Hough transform |
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