Homography tensors: On algebraic entities that represent three views of static or moving planar points

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 1842, Issue , 2000, Pages 507-521

  Shashua, Amnon ^a   Wolf, Lior ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER VISION; MAPPING; TENSORS;

COLLINEATION; HOMOGRAPHIES; HOMOGRAPHY MATRICES; JOINT MAPPING; LINE-OF-SIGHT MEASUREMENTS; STRAIGHT-LINE PATHS; THREE VIEWS;

MATRIX ALGEBRA;

EID: 84944268940     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-45054-8_33     Document Type: Conference Paper

References (12)

1. S. Avidan and A. Shashua. Trajectory triangulation of lines: Reconstruction of a 3d point moving along a line from a monocular image sequence. In Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, June 1999.
2. A. Criminisi, I. Reid, and A. Zisserman. Duality, rigidity and planar parallax. In Proceedings of the European Conference on Computer Vision, Frieburg, Germany, 1998. Springer, LNCS 1407.
3. R.I. Hartley. Lines and points in three views and the trifocal tensor. International Journal of Computer Vision, 22(2):125-140, 1997.
4. M. Irani and P. Anandan. Parallax geometry of pairs of points for 3D scene analysis. In Proceedings of the European Conference on Computer Vision, LNCS 1064, pages 17-30, Cambridge, UK, April 1996. Springer-Verlag.
5. M. Irani, P. Anandan, and D. Weinshall. From reference frames to reference planes: Multiview parallax geometry and applications. In Proceedings of the European Conference on Computer Vision, Frieburg, Germany, 1998. Springer, LNCS 1407.
6. M. Irani, B. Rousso, and S. Peleg. Recovery of ego-motion using image stabilization'. In Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pages 454-460, Seattle, Washington, June 1994.
7. A. Shashua and N. Navab. Relative affine structure: Canonical model for 3D from 2D geometry and applications. IEEE Transactions on Pattern Analysis and Machine Intelligence, 18(9):873-883, 1996.
8. A. Shashua and M. Werman. Trilinearity of three perspective views and its associated tensor. In Proceedings of the International Conference on Computer Vision, June 1995.
9. A. Shashua and Lior Wolf. Homography tensors: On algebraic entities that represent three views of static or moving planar points. Technical Report CSE99-34, School of CSE, Hebrew University of Jerusalem, December 1999.
10. A. Shashua and Lior Wolf. On the structure and properties of the quadrifocal tensor. In Proceedings of the European Conference on Computer Vision, Dublin, Ireland, June 2000.
11. Lior Wolf, A. Shashua, and Y. Wexler. Join tensors: on 3d-to-3d alignment of dynamic sets. In Proceedings of the International Conference on Pattern Recognition, Barcelona, Spain, September 2000.
12. L. Zelnik-Manor and M. Irani. Multi-frame alignment of planes. In Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, June 1999.