Abstract
For computation of the epipolar geometry from central- omni-directional images, the use of the spherical camera model is essential. This is because the central-omnidirectional cameras are universally expressed as the spherical camera model when the intrinsic parameters of the cameras are calibrated. Geometrically, for corresponding points between two spherical images, there exists the same epipolar constraint as the conventional pinhole-camera model. Therefore, it is possible to use the conventional eight-point algorithm for recovering camera motion and 3D objects from two spherical images. In this paper, using the geometric properties on rotation of the spheres, we propose a method of the accurate computation based on the rectification of the spherical-camera images via the conventional eight-point algorithm.
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References
Baker, S., Nayar, S.K.: A theory of single-viewpoint catadioptric image formation. International Journal of Computer Vision 35(2), 175–196 (1999)
Barreto, J.P., Daniilidis, K.: Unifying image plane liftings for central catadioptric and dioptric cameras. In: OMNIVIS ’04, pp. 151–162 (2004)
Benosman, R., Kang, S.B. (eds.): Panoramic Vision: Sensors, Theory, Applications. Springer, Heidelberg (2001)
Chang, P., Hebert, M.: Omni-directional structure from motion. In: OMNIVIS ’00, pp. 127–133 (2000)
Faugeras, O., Luong, Q.T., Papadopoulou, T.: The Geometry of Multiple Images: The Laws That Govern The Formation of Images of A Scene and Some of Their Applications. MIT Press, Cambridge (2001)
Geyer, C., Daniilidis, K.: Catadioptric projective geometry. International Journal of Computer Vision 45(3), 223–243 (2001)
Geyer, C., Daniilidis, K.: Properties of the catadioptric fundamental matrix. In: Heyden, A., et al. (eds.) ECCV 2002. LNCS, vol. 2351, pp. 140–154. Springer, Heidelberg (2002)
Hartley, R., Zisserman, A.: Multiple view geometry in computer vision, 2nd edn. Cambridge University, Cambridge (2003)
Svoboda, T., Pajdla, T.: Epipolar Geometry for Central Catadioptric Cameras. International Journal of Computer Vision 49(1), 23–37 (2002)
Ying, X., Hu, Z.: Can we consider central catadioptric cameras and fisheye cameras within a unified imaging model. In: Pajdla, T., Matas, J(G.) (eds.) ECCV 2004. LNCS, vol. 3021, pp. 442–455. Springer, Heidelberg (2004)
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Fujiki, J., Torii, A., Akaho, S. (2007). Epipolar Geometry Via Rectification of Spherical Images. In: Gagalowicz, A., Philips, W. (eds) Computer Vision/Computer Graphics Collaboration Techniques. MIRAGE 2007. Lecture Notes in Computer Science, vol 4418. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71457-6_42
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DOI: https://doi.org/10.1007/978-3-540-71457-6_42
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71456-9
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