Abstract
Epipolar geometry is the relationship between two images of the same scene. It describes how the projections of the same point in 3D space relate to each other in the two images. Epipolar geometry is fundamental to any computer vision technique that uses multiple images.
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Notes
- 1.
There must not be three aligned.
References
Sameer Agarwal, Hon-Leung Lee, Bernd Sturmfels, and Rekha R. Thomas. On the existence of epipolar matrices. International Journal of Computer Vision, 121 (3): 403–415, Feb 2017.
R. I. Hartley. In defence of the 8-point algorithm. In Proceedings of the International Conference on Computer Vision, pages 1064–1071, Washington, DC, USA, 1995. IEEE Computer Society.
Richard Hartley and Fredrik Kahl. Critical configurations for projective reconstruction from multiple views. International Journal of Computer Vision, 71 (1): 5–47, Jan 2007.
Q.-T. Luong and O. D. Faugeras. The fundamental matrix: Theory, algorithms, and stability analysis. International Journal of Computer Vision, 17: 43–75, 1996.
A. Shashua and N. Navab. Relative affine structure: Canonical model for 3D from 2D geometry and applications. IEEE Transactions on Pattern Analysis and Machine Intelligence, 18 (9): 873–883, September 1996.
Z. Zhang. Determining the epipolar geometry and its uncertainty: A review. International Journal of Computer Vision, 27 (2): 161–195, March/April 1998.
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Fusiello, A. (2024). Two-View Geometry. In: Computer Vision: Three-dimensional Reconstruction Techniques. Springer, Cham. https://doi.org/10.1007/978-3-031-34507-4_6
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DOI: https://doi.org/10.1007/978-3-031-34507-4_6
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