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2016 | OriginalPaper | Buchkapitel

5. 3D Reconstruction from Two Views

verfasst von : Kenichi Kanatani, Yasuyuki Sugaya, Yasushi Kanazawa

Erschienen in: Guide to 3D Vision Computation

Verlag: Springer International Publishing

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Abstract

This chapter describes a method for 3D reconstruction from two views, that is, computing the 3D positions of corresponding point pairs. To do this, we need to know the camera matrices that specify the positions, orientations, and internal parameters, such as focal lengths, of the two cameras. We estimate them from the fundamental matrix computed from the two images; this process is called self-calibration. We first express the fundamental matrix in terms of the positions, orientations, and focal lengths of the two cameras. Then we show that the focal lengths of the two cameras are computed from the fundamental matrix by an analytical formula. Using them, we can compute the positions and orientations of the two cameras, which determine their camera matrices. Once the camera matrices are determined, the 3D positions of corresponding point pairs are computed by the triangulation computation described in the preceding chapter.

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Literatur
1.
Zurück zum Zitat S. Bougnoux, From projective to Euclidean space under any practical situation, a criticism of self calibration, in Proceedings of 6th International Conference on Computer Vision, Bombay, India (1998), pp. 790–796 S. Bougnoux, From projective to Euclidean space under any practical situation, a criticism of self calibration, in Proceedings of 6th International Conference on Computer Vision, Bombay, India (1998), pp. 790–796
2.
Zurück zum Zitat K. Kanatani, Geometric Computation for Machine Vision (Oxford University Press, Oxford, 1993)MATH K. Kanatani, Geometric Computation for Machine Vision (Oxford University Press, Oxford, 1993)MATH
3.
Zurück zum Zitat K. Kanatani, Statistical optimization for geometric fitting: theoretical accuracy bound and high order error analysis. Int. J. Comput. Vis. 80(2), 167–188 (2008)MathSciNetCrossRef K. Kanatani, Statistical optimization for geometric fitting: theoretical accuracy bound and high order error analysis. Int. J. Comput. Vis. 80(2), 167–188 (2008)MathSciNetCrossRef
4.
Zurück zum Zitat K. Kanatani, A. Nakatsuji, Y. Sugaya, Stabilizing the focal length computation for 3-D reconstruction from two uncalibrated views. Int. J. Comput. Vis. 66(2), 109–122 (2006)CrossRef K. Kanatani, A. Nakatsuji, Y. Sugaya, Stabilizing the focal length computation for 3-D reconstruction from two uncalibrated views. Int. J. Comput. Vis. 66(2), 109–122 (2006)CrossRef
5.
Zurück zum Zitat K. Kanatani, Y. Sugaya, Y. Kanazawa, Latest algorithms for 3-D reconstruction form two view, in Handbook of Pattern Recognition and Computer Vision, 4th edn., ed. by C.H. Chen (World Scientific Publishing, Singapore, 2009), pp. 201–234CrossRef K. Kanatani, Y. Sugaya, Y. Kanazawa, Latest algorithms for 3-D reconstruction form two view, in Handbook of Pattern Recognition and Computer Vision, 4th edn., ed. by C.H. Chen (World Scientific Publishing, Singapore, 2009), pp. 201–234CrossRef
6.
Zurück zum Zitat Y. Kanazawa, Y. Sugaya, K. Kanatani, Decomposing three fundamental matrices for initializing 3-D reconstruction from three views. IPSJ Trans. Comput. Vis. Appl. 6 (2014) Y. Kanazawa, Y. Sugaya, K. Kanatani, Decomposing three fundamental matrices for initializing 3-D reconstruction from three views. IPSJ Trans. Comput. Vis. Appl. 6 (2014)
7.
Zurück zum Zitat H.C. Longuet-Higgins, A computer algorithm for reconstructing a scene from two projections. Nature 293(10), 133–135 (1981)CrossRef H.C. Longuet-Higgins, A computer algorithm for reconstructing a scene from two projections. Nature 293(10), 133–135 (1981)CrossRef
8.
Zurück zum Zitat R.Y. Tsai, T.S. Huang, Uniqueness and estimation of three-dimensional motion parameters of rigid objects with curved surfaces. IEEE Trans. Pattern Anal. Mach. Intell. 6(1), 13–27 (1984)MathSciNetCrossRef R.Y. Tsai, T.S. Huang, Uniqueness and estimation of three-dimensional motion parameters of rigid objects with curved surfaces. IEEE Trans. Pattern Anal. Mach. Intell. 6(1), 13–27 (1984)MathSciNetCrossRef
Metadaten
Titel
3D Reconstruction from Two Views
verfasst von
Kenichi Kanatani
Yasuyuki Sugaya
Yasushi Kanazawa
Copyright-Jahr
2016
DOI
https://doi.org/10.1007/978-3-319-48493-8_5