A general framework for trajectory triangulation

Journal of Mathematical Imaging and Vision

Volumn 21, Issue 1, 2004, Pages 27-41

  Kaminski, Jeremy Yirmeyahu ^a   Teicher, Mina ^a  

^a BAR ILAN UNIVERSITY   (Israel)

Author keywords

Mathematical methods in 3d reconstruction; Structure from motion; Trajectory triangulation

Indexed keywords

CAMERAS; CONSTRAINT THEORY; DATA ACQUISITION; IMAGE RECONSTRUCTION; MOTION ESTIMATION; SPURIOUS SIGNAL NOISE; TRACKING (POSITION); TRIANGULATION;

MATHEMATICAL METHODS IN 3D RECONSTRUCTION; STRUCTURE FROM MOTION; TRAJECTORY TRIANGULATION;

IMAGE ANALYSIS;

EID: 3543072904     PISSN: 09249907     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:JMIV.0000026555.79056.b8     Document Type: Review

References (24)

1. S. Avidan and A. Shashua, "Trajectory triangulation: 3D reconstruction of moving points from a monocular image sequence," IEEE Transactions on Pattern Analysis and Machine Intelligence, Vol. 22, No. 4, pp. 348-357, 2000.
2. M. Bamabei, A. Brini, and G.C. Rota, "On the exterior calculus of invariant theory," Journal of Algebra, Vol. 96, pp. 120-160, 1985.
3. B. Buchberger and F. Winkler, Gröbner Bases and Applications, Cambridge University Press, 1998.
4. D. Cox, J. Little, and D. O'Shea, Ideals, Varieties and Algorithms, 2nd., Springer-Verlag, 1996.
5. W. Chojnacki, M. Brooks, A. van den Hengel, and D. Gawley, "On the fitting of surfaces to data with covariances," PAMI, Vol. 22, 2000.
6. J. Costeira and T. Kanade, "A multibody factorization method for independent moving objects." International Journal of Computer Vision, Kluwer, Vol. 29, Sep. 1998.
7. D. Eisenbud, Commutative Algebra with a View Toward Algebraic Geometry, Springer-Verlag, 1995.
8. D. Eisenbud and J. Harris, The Geometry of Schemes, Springer-Verlag, 2000.
9. O.D. Faugeras and Q.T. Luong, The Geometry of Multiple Images, MIT Press, 2001.
10. W. Fulton, Algebraic Curves: An-Introduction to Algebraic Geometry, Addison-Wesley Publishing Company: The Advanced Book Program.
11. A.W. Fitzgibbon and A. Zisserman, "Multibody structure and motion: 3D reconstruction of independently moving objects," in Proceedings of European Conference on Computer Vision, June 2000, pp. 891-906.
12. M. Han and T. Kanade, "Reconstruction of a scene with multiple linearly moving points," in Proceedings of IEEE Conference on Computer Vision and Pattern recognition, June 2000.
13. J. Harris, Algebraic Geometry, A First Course, Springer-Verlag, 1992.
14. R.I. Hartley and A. Zisserman, Multiple View Geometry in Computer Vision, Cambridge University Press, 2000.
15. R. Hartshorne, Algebraic Geometry, Springer-Verlag, 1977.
16. J.Y. Kaminski, M. Fryers, A. Shashua, and M. Teicher, "Multiple view geometry of non-planar algebraic curves," in Proceedings of International Conference on Computer Vision, July 2001.
17. J.Y. Kaminski and M. Teicher, "General trajectory triangulation," in Proceedings of European Conference on Computer Vision, June 2002.
18. S. Lang, Algebra, 3rd edn., Springer-Verlag, 2002.
19. R.A. Manning and C.R. Dyer, "Interpolating view and scene motion by dynamic view morphing," in Proceedings of IEEE Conference on Computer Vision and Pattern Recognition, June 1999. pp. 388-394.
20. B. Matei and P. Meer, "A general method for errors-in-variables problems in computer vision," in Proceedings of IEEE Conference on Computer Vision and Pattern recognition, 2000.
21. D. Segal and A. Shashua, "3D reconstruction from tangent-of-sight measurements of a moving object seen from a moving camera," in Proceedings of European Conference on Computer Vision, June 2000, pp. 507-521.
22. A. Shashua and L. Wolf, "Homography tensors: On algebraic entities that represent three views of static or moving points," in Proceedings of European Conference on Computer Vision, June 2000. pp. 507-521.
23. Y. Wexler and A. Shashua, "On the synthesis of dynamic scenes from reference view," in Proceedings of IEEE Conference on Computer Vision and Pattern recognition, June 2000.
24. 2, k = 3, ..., 6, and their applications in computer vision," in Proceedings of IEEE International Conference on Computer Vision, July 2001.