ABSTRACT
Epipoles are important geometric entities of epipolar geometry, which are defined as the image of the camera center of one view in the other view. Many different algorithms in computer vision rely on the computation of epipoles, thereby giving rise to the need for efficient methods for computation of epipoles. In response to this need, different methods for either constraining or locating epipoles have been devised.
This paper exploits a special kind of correspondences across two views in order to propose a novel approach for both constraining and computation of epipoles depending on the number of correspondences. The most important property of this kind of correspondence, called point-line correspondence, is that it can be used directly for constraining the position of epipoles as soon as it is identified, eliminating the need for further processing. Unfortunately, this significant advantage has been obtained at a high cost: rarity of the desired correspondences. In order to dim this latter point, however, the paper also considers an important application of the proposed method, which is the generation of self-contained benchmarks for epipole computation. By self-contained it is meant that no information in addition to the images themselves, should be provided.
- Chen, Z., Pears, N., McDermid, J. and Heseltine, T. 2003. Epipole Estimation under Pure Camera Translation. In Proceedings of the 7th Digital Image Computing: Techniques and Applications, pp. 849--858, Sydney, Australia.Google Scholar
- Faugeras, O., Luong, Q.-T. and Papadopoulo, T. 2001. The Geometry of Multiple Images: The Laws That Govern the Formation of Multiple Images of a Scene and Some of Their Applications. The MIT Press, Cambridge, Massachusetts, London. Google ScholarDigital Library
- Hartley, R. I. and Zisserman, A. 2004. Multiple View Geometry in Computer Vision. Cambridge University Press. Google ScholarDigital Library
- Luong, Q.-T. and Faugeras, O. 1994. On the direct determination of epipoles: a case study in algebraic methods for geometric problems. In Proceedings of the 12th IAPR International Conference on Computer Vision and Image Processing, pp. 243--247. IEEE Press, Jerusalem.Google Scholar
- Migita, T. and Shakunaga, T. 2006. One-Dimensional Search for Reliable Epipole Estimation, In Chang, L.-W, Lie, W.-N., Chiang, R. (Eds.): Pacific Rim Symposium on Image and Video Technology 2006, LNCS, vol. 4319, pp. 1215--1224, Springer-Verlag, Berlin Heidelberg. Google ScholarDigital Library
- Nistér, D. and Schaffalitzky, F. 2004. What do four points in two calibrated images tell us about the epipoles?. In Proceedings of the 8th European Conference on Computer Vision, Volume 2, pp. 41--57, Prague, Czech Republic.Google Scholar
- Sagüés, C., Murillo, A. C., Escudero, F. and Guerrero, J. J. 2006. From lines to epipoles through planes in two views, Pattern Recognition, Vol. 39(3), pp. 384--393. Google ScholarDigital Library
- Real-world examples for constraining epipoles using point-line correspondences: self-contained benchmarks for epipole computation
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