Abstract
In this paper, a new projective model for 3D information representation, termed relative affine depth (RAD), is derived for the solution to structure recovery of an object at arbitrary positions with respect to uncalibrated cameras. The RAD of a spatial point is proven inversely proportional (subject to a projective scale) to the Euclidean depth of a spatial point in a camera-centered coordinate frame, which is sequentially obtained in a straitforward way. The point matches are accomplished using a feature point tracking algorithm developed by us. Experiments with real objects show good results for shape recovery.
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References
O. Faugeras, “Stratification of three-dimensional vision: Projective, affine, and metric representations,” J. Opt. Soc. Am. A, Vol.12, No.3, 1995.
O. Faugeras, “What can two images tell us about a third one?” Int'l J. of Computer Vision, Vol.18, 1996.
R. Hartley, “Projective reconstruction and invariants from multiple images,” IEEE Trans. PAMI, Vol.16, No.10, 1994.
R. Hartley, “A linear method for reconstruction using multiple uncalibrated images,” Proc. Int'l Conf. Computer Vision, 1995.
R. Hartley, “In defense of the eight-point algorithm,” IEEE Trans. PAMI, Vol.19, No.6, 1997.
K. Kanatani, “Computational projective geometry,” CVGIP. Image Understanding, Vol. 54, No. 3, 1991.
J. Koenderink and A. Van Doorn, “Affine structure from motion,” J. Opt. Soc. Am. A, Vol.8, No.2, 1991.
R. Mohr, et al., “Relative 3D reconstruction using multiple uncalibrated images,” Proc. IEEE Conf. CVPR, New York, June 1993.
J. L. Mundy and A. P. Zisserman, Geometric Invariance in Computer Vision, MIT Press, Cambridge, MA, 1992.
L.S. Shapiro, A. Zisserman, and M. Drady, “3D motion recovery via affine epipolar geometry,” Int'l. J. Computer Vision, Vol. 16, 1995.
A. Shashua, “Projective structure from uncalibrated images: Structure from motion and recognition,” IEEE Trans. PAMI, Vol.16, No.8, 1994.
A. Shashua, “Relative affine structure: Canonical model for 3D from 2D geometry and application,” IEEE Trans. PAMI, Vol.18, No.9, 1996.
H. T. Tsui, Z. Y. Zhang, and S. H. Kong, “Feature tracking from an image sequence using geometric invariants,” Proc. IEEE Computer Society Conf. on Computer Vision and Pattern Recognition, San Juan, USA, June, 1997.
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© 1997 Springer-Verlag Berlin Heidelberg
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Zhang, ZY., Tsui, HT. (1997). Relative affine depth: Structure from motion by an uncalibrated camera. In: Chin, R., Pong, TC. (eds) Computer Vision — ACCV'98. ACCV 1998. Lecture Notes in Computer Science, vol 1352. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63931-4_240
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DOI: https://doi.org/10.1007/3-540-63931-4_240
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