Recovery of epipolar geometry as a manifold fitting problem

Proceedings of the IEEE International Conference on Computer Vision

Volumn 2, Issue , 2003, Pages 1321-1328

  Goshen, Liran ^a   Shimshoni, Ilan ^a   Anandan, P ^b   Keren, Daniel ^c  

^a TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^b MICROSOFT RESEARCH   (United States)

^c UNIVERSITY OF HAIFA   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; COMPUTER VISION; LINEAR ALGEBRA; MAXIMUM LIKELIHOOD ESTIMATION; STEREO VISION;

EPIPOLAR GEOMETRY; JOINT IMAGE MANIFOLD; JOINT IMAGE SPACE; MANIFOLD FITTING;

MOTION ESTIMATION;

EID: 0345414474     PISSN: 15505499     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/iccv.2003.1238643     Document Type: Conference Paper

References (17)

1. S.J. Ahn, W. Rauh, and H.J. Warnecke. Least-squares orthogonal distances fitting of circle, sphere, ellipse, hyperbola, and parabola. PR, 34(12):2283-2303, December 2001.
2. P. Anandan, and S. Avidan. Integrating local affine into global projective images in the joint image space. In European Conference on Computer Vision, 2000.
3. D.A. Forsyth, S. Ioffe, and J. Haddon. Bayesian structure from motion. In ICCV99, pages 660-665, 1999.
4. C. Harris and M.J. Stephens. A combined corner and edge detector. In Alvey88, pages 147-152, 1988.
5. R.I. Hartley and A. Zisserman. Multiple View Geometry in Computer Vision. Cambridge, 2000.
6. K. Kanatani. Geometric computation for machine vision. In Oxford University Press, 1993.
7. K. Kanatani. Statistical-analysis of geometric computation. CVGIP, 59(3):286-306, May 1994.
8. D. Keren, D.B. Cooper, and J. Subrahmonia. Describing complicated objects by implicit polynomials. IEEE Trans. on Pattern Analysis and Machine Intelligence, 16(1):38-53, January 1994.
9. H.C. Longuet-Higgins. A computer algorithm for reconstructing a scene from two projections. Nature, 293:133-135, September 1981.
10. W.H. Press, B.P. Flannery, S.A. Teukolsky, and W.T. Vetterling. Numerical Recipes. Cambridge University Press, 1986.
11. G.A.F. Seber and C.J. Wild. Nonlinear Regression. John Wiley and Sons, 1989.
12. G. Taubin, F. Cukierman, S. Sullivan, J. Ponce, and D.J. Kriegman. Parameterized families of polynomials for bounded algebraic curve and surface fitting. PAMI, 16(3 March 1994):287-303, March 1994.
13. P. H. S. Torr and A. Zisserman. Concerning Bayesian motion segmentation, model averaging, matching and the trifocal tensor. In H. Burkharddt and B. Neumann, editors, ECCV98 Vol 1, pages 511-528. Springer, 1998.
14. P.H.S. Torr. Bayesian model estimation and selection for epipolar geometry and generic manifold fitting. IJCV, 50(1):35-61, October 2002.
15. B. Triggs. Matching constraints and the joint image. In ICCV95, pages 338-343, 1995.
16. J. Weng, T.S. Huang, and N. Ahuja. Motion and structure from two perspective views: Algorithms, error analysis, and error estimation. IEEE Trans. on Pattern Analysis and Machine Intelligence, 11:451-476, 1989.
17. M. Werman, and D. Keren. A Bayesian method for fitting parametric and nonparametric models to noisy data. IEEE Trans. on Pattern Analysis and Machine Intelligence, 23(5):528-534, May 2001.