23 September 1999 Two-epipole constraints of estimating fundamental matrix and its analyzation
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Abstract
The new geometrical constraints, based on the geometrical analyzing of synthetic method, are developed to estimate Fundamental Matrix (F matrix). Firstly, applying the new constraints, the four parameters of Fundamental matrix could be estimated, and these four parameters are the coordinates of the two epipoles. Secondly the other four parameters of the fundamental matrix could be solved by solving the linear equations with the other new constraint, and these parameters represent the homography between the two pencils of epipolar lines. Experiments with the simulated and real data show that our algorithm performs very well in terms of robustness to outliers and noises, high accuracy of the fundamental matrix and high stability of the epipoles.
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Zezhi Chen, Peiyi Shen, Yong Liu, Chengke Wu, Long Quan, "Two-epipole constraints of estimating fundamental matrix and its analyzation", Proc. SPIE 3811, Vision Geometry VIII, (23 September 1999); doi: 10.1117/12.364110; https://doi.org/10.1117/12.364110
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