A stability analysis of the fundamental matrix

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

Volumn 800 LNCS, Issue , 1994, Pages 577-588

  Luong, Q T ^a,b   Faugeras, O D ^a  

^a INRIA   (France)

^b UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTIFICIAL INTELLIGENCE; COMPUTER SCIENCE; COMPUTERS;

CRITICAL SURFACES; FUNDAMENTAL MATRIX; GEOMETRIC INFORMATION; IMAGE MEASUREMENTS; MULTIPLE VIEWPOINTS; PROBABILISTIC APPROACHES; THREE-DIMENSIONAL STRUCTURE; UNCALIBRATED IMAGES;

COMPUTER VISION;

EID: 77951454517     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-57956-7_65     Document Type: Conference Paper

References (17)

1. O.D. Faugeras. Three-dimensional computer vision: a geometric viewpoint. MIT Press, 1993. To appear.
2. B.K.P. Horn. Relative orientation. The International Journal of Computer Vision, 4(1):59-78, Jan. 1990.
3. H.C. Longuet-Higgins. A Computer Algorithm for Reconstructing a Scene from Two Projections. Nature, 293:133-135, 1981.
4. H.C. Longuet-Higgins. Multiple interpretations of a pair of images of a surface. Proc. Of the Royal Society London A, 418:1-15, 1988.
5. Q.-T. Luong. Matrice fondamentale et auto-calibration en vision par ordiuateur. PhD thesis, Universite de Paris-Sud, Orsay, Dec. 1992.
6. Q.-T. Luong, R. Deriche, O.D. Faugeras, and T. Papadopoulo. On determining the Fundamental matrix: analysis of different methods and experimental results. Technical Report RR-1894, INRIA, 1993. A shorter version appeared in the Israelian Conf. on Artificial Intelligence and Computer Vision.
7. Q.-T. Luong and O.D. Faugeras. Determining the Fundamental matrix with planes: unstability and new algorithms. In Proc. Conference on Computer Vision and Pattern Recognition, pages 489-494, New-York, 1993.
8. Q.-T. Luong and T. Viéville. Canonic representations for the geometries of multiple projective views. Technical Report UCB/CSD-93-772, University of California at Berkeley, Sept 1993. Accepted at ECCV'94.
9. S.J. Maybank. The angular velocity associated with the optical flow field arising from motion through a rigid environment. Proc. of the Royal Society London A, 401:317-326, 1985.
10. S.J. Maybank. The projective geometry of ambiguous surfaces. Proc. of the Royal Society London A, 332:1-47, 1990.
11. S.J. Maybank. Properties of essential matrices. International journal of imaging systems and technology, 2:380-384, 1990.
12. J. L. Mundy and A. Zisserman, editors. Geometric invariance in computer vision. MIT Press, 1992.
13. J. Philip. Estimation of three-dimensional motion of rigid objects from noisy observations. IEEE Transactions on Pattern Analysis and Machine Intelligence, 13(1):61-66, 1991.
14. L. Quan. Affine stereo calibration for relative affine shape reconstruction. In Proc. British Machine Vision Conf., 1993.
15. J.G. Scruple and G.T. Kneebone. Algebraic Projective Geometry. Oxford: Clarendon Press, 1952. Reprinted 1979.
16. T. Viéville and P. Sander. Using pseudo kalman-filters in the presence of constraints. Technical Report RR-1669, INRIA, 1992.
17. J. Weng, T.S. Huang, and N. Ahuja. Motion and structure from two perspective views: algorithms, error analysis and error estimation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 11(5):451-476, 1989.