Globally optimal affine epipolar geometry from apparent contours

Proceedings of the IEEE International Conference on Computer Vision

Volumn , Issue , 2009, Pages 96-103

  Li, Gang ^a   Tsin, Yanghai ^a  

^a SIEMENS CORPORATE RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

2-D SPACE; APPARENT CONTOUR; APRIORI; BRANCH AND BOUNDS; CAMERA MODEL; CURVED SURFACES; EPIPOLAR; EPIPOLAR GEOMETRY; FRONTIER POINT; GLOBAL OPTIMALITY; GREEDY SEARCH METHODS; IMAGE CORRESPONDENCE; INTERVAL MATRIX; LOCAL MINIMUMS; OPTIMAL SOLUTIONS; REAL SCENES; SURFACE POINTS; TANGENT PLANE;

COMPUTER VISION; OPTIMIZATION; TWO DIMENSIONAL;

COMPUTATIONAL GEOMETRY;

EID: 77953224229     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICCV.2009.5459147     Document Type: Conference Paper

References (29)

1. C. S. Adjiman and C. A. Floudas. Rigorous convex underestimators for general twice-differentiable problems. Journal of Global Optimization, 9(1):23-40, 1996. (Pubitemid 126713999)
2. K. Astrom, R. Cipolla, and P. Giblin. Generalised epipolar constraints. IJCV, 33(1):51-72, 1999.
3. S. Belongie, J. Malik, and J. Puzicha. Shape matching and object recognition using shape contexts. IEEE TPAMI, 24(4):509-522, 2002.
4. S. Boyd and L. Vandenberghe. Convex Optimization. Cambridge Univ. Press, 2004.
5. E. Boyer and M.-O. Berger. 3D surface reconstruction using occluding contours. IJCV, 22(3):219-233, 1997. (Pubitemid 127507397)
6. G. Chesi, A. Garulli, A. Vicino, and R. Cipolla. Estimating the fundamental matrix via constrained least-squares: A convex approach. IEEE TPAMI, 24(3):397-401, 2002.
7. R. Cipolla. The visual motion of curves and surfaces. Phil. Trans. R. Soc. Lond., A, 356(1740):1103-1121, 1998.
8. R. Cipolla and A. Blake. Surface shape from the deformation of apparent contours. IJCV, 9(2):83-112, 1992. (Pubitemid 23621945)
9. R. Cipolla and P. Giblin. Visual Motion of Curves and Surfaces. Cambridge Univ. Press, 2000.
10. M. P. do Carmo. Differential Geometry of Curves and Surfaces. Prentice-Hall, Inc., 1976.
11. O. Enqvist and F. Kahl. Robust optimal pose estimation. In Proc. ECCV, 2008.
12. O. Faugeras. Three-Dimensional Computer Vision. The MIT Press, 1993.
13. Y. Furukawa, A. Sethi, J. Ponce, and D. Kriegman. Robust structure and motion from outlines of smooth curved surfaces. IEEE TPAMI, 28(2):302-315, 2006.
14. G. H. Golub and C. F. V. Loan. Matrix Computations. THe Johns Hopkins Univ. Press, third edition, 1996.
15. R. Hartley. In defense of the eight-point algorithm. IEEE TPAMI, 19(6):580-593, 1997.
16. R. Hartley and F. Kahl. Global optimization through searching rotation space and optimal estimation of the essential matrix. In Proc. ICCV, 2007.
17. R. Hartley and A. Zisserman. Multiple View Geometry in Computer Vision. Cambridge Univ. Press, 2000.
18. D. Hertz. The extreme eigenvalues and stability of real symmetric interval matrices. IEEE Transactions on Automatic Control, 37(4):532-535, 1992.
19. F. Kahl, S. Agarwal, M. K. Chandraker, D. Kriegman, and S. Belongie. Practial global optimization for multiview geometry. IJCV, 79:271-284, 2008.
20. F. Kahl and D. Henrion. Globally optimal estimates for geometric reconstruction problems. IJCV, 74(1):3-15, 2007.
21. Q. Ke and T. Kanade. Quasiconvex optimization for robust geometric reconstruction. In Proc. ICCV, 2005.
22. G. Li, Y. Tsin, and Y. Genc. Exploiting occluding contours for real-time 3D tracking: A unified approach. In Proc. ICCV, 2007.
23. P. R. Mendonca and R. Cipolla. Estimation of epipolar geometry from apparent contours: Affine and circular motion cases. In Proc. CVPR, 1999.
24. P. R. Mendonca, K.-Y. K. Wong, and R. Cipolla. Epipolar geometry from profiles under circular motion. IEEE TPAMI, 23(6):604-616, 2001.
25. J. Sato and R. Cipolla. Affine reconstruction of curved surfaces from uncalibrated views of apparent contours. IEEE TPAMI, 21(11):1188-1198, 1999.
26. R. Szeliski and R. Weiss. Robust shape recovery from occluding contours using a linear smoother. IJCV, 28(1):27-44, 1998.
27. R. Vaillant and O. D. Faugeras. Using extremal boundaries for 3-D object modeling. IEEE TPAMI, 14(2):157-173, 1992.
28. K.-Y. K. Wong and R. Cipolla. Structure and motion from silhouettes. In Proc. ICCV, 2001.
29. Z. Zhang. Determining the epipolar geometry and its uncertainty: A review. IJCV, 27(2):161-195, 1998.