What can two images tell us about a third one?

International Journal of Computer Vision

Volumn 18, Issue 1, 1996, Pages 5-19

  Faugeras, Olivier ^a   Robert, Luc ^a  

^a INRIA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; COMPUTATIONAL GEOMETRY; COMPUTER VISION; IMAGE RECONSTRUCTION; MATHEMATICAL MODELS; OBJECT RECOGNITION; PROBLEM SOLVING; STEREO VISION;

CAMERA GEOMETRIES; EPIPOLAR GEOMETRY; IMAGE FEATURES; IMAGE SET; MODEL BASED OBJECT RECOGNITION; TRANSFER METHODS;

IMAGE PROCESSING;

EID: 0030129696     PISSN: 09205691     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00126137     Document Type: Article

References (29)

1. Ayache, N. and Lustman, F. 1987. Fast and reliable passive trinocular Stereovision. In Proceedings ICCV '87, London, pages 422-427. IEEE.
2. Barrett, Eamon B., Brill, Michael H., Haag, Nils N. and Payton, Paul M. 1992. Invariant Linear Methods in Photogrammetry and Model-Matching. In Joseph L. Mundy and Andrew Zimmerman, editors, Geometric Invariance in Computer Vision, chapter 14. MIT Press.
3. Basri, Ronen. 1993. On the Uniqueness of Correspondence under Orthographic and Perspective Projections. In Proc. of the Image Understanding Workshop, pages 875-884.
4. Deriche, R. 1987. Using canny's criteria to derive an optimal edge detector recursively implemented. In The International Journal of Computer Vision, volume 2, pages 15-20.
5. Faugeras, Olivier D. 1992. What can be seen in three dimensions with an uncalibrated stereo rig. In Giulio Sandini, editor, Proceedings of the 2nd European Conference on Computer Vision, pages 563-578. Springer-Verlag, Lecture Notes in Computer Science 588.
6. Faugeras, Olivier D. 1993. Three-Dimensional Computer Vision: a Geometric Viewpoint. MIT Press.
7. Faugeras, Olivier D., Luong, Tuan and Maybank, Steven. 1992. Camera self-calibration: theory and experiments. In Giulio Sandini, editor, Proceedings of the 2nd European Conference on Computer Vision, pages 321-334. Springer-Verlag, Lecture Notes in Computer Science 588.
8. Hartley, Richard. 1994. Lines and points in three views-an integrated approach. In Proc. Image Understanding Workshop, Monterey, California.
9. Hartley, Richard, Gupta, Rajiv and Chang, Tom. 1992. Stereo from Uncalibrated Cameras. In Proceedings of CVPR92, Urbana-Champaign, Illinois, pages 761-764.
10. Ito. M. and Ishii, A. 1986 Three-View Stereo Analysis. IEEE Transactions on Pattern Analysis and Machine Intelligence, 8:524-532.
11. Kanatani, Kenichi. 1991. Computational Projective Geometry. CVGIP: Image Understanding, 54(3):333-348.
12. Kitamura, Yoshifumi and Yachida, Masahiko. 1990. Three-dimensional data acquisition by trinocular vision. Advanced Robotics, 4(1):29-42. Robotics Society of Japan.
13. Luong, Quang-Tuan, Deriche, Rachid, Faugeras, Olivier and Papadopoulo, Théodore. 1993. On Determining the Fundamental Matrix: Analysis of Different Methods and Experimental Results. Technical Report 1894, INRIA.
14. Milenkovic, V.J. and Kanade, T. 1985. Trinocular Vision Using Photometric and Edge Orientation Constraints. In Proceedings of DARPA Image Understanding Workshop, pages 163-175.
15. Mohr, R. and Arbogast, E. 1990. It can be done without camera calibration. Pattern Recognition Letters, 12:39-43.
16. Mohr, Roger, Morin, Luce and Grosso, Enrico. 1992. Relative positioning with uncalibrated cameras. In J.L. Mundy and A. Zisserman, editors, Proceedings of DARPA-ESPRIT Workshop on Applications of Invariance in Computer Vision, Artificial Intelligence Series, chapter 22, pages 440-460. MIT Press.
17. Mundy, Joseph L.and Zimmerman, Andrew editors. 1992. Geometric Invariance in Computer Vision. MIT Press.
18. Pietikainen, M. and Harwood, D. 1986. Depth from three-camera stereo. In Proc. International Conference on Computer Vision and Pattern Recognition, pages 2-8. IEEE. Miami Beach, Florida.
19. Pietikainen, M. and Harwood, D. Progress in trinocular stereo. In Proceedings NATO Advanced Workshop on Real-time Object and Environment Measurement and classification, Maratea, Italy, August 31 - September 3 1987.
20. Quan, L. 1994. Invariants of 6 points from 3 uncalibrated images. In J-O. Eklundh, editor, Proceedings of the 3 European Conference on Computer Vision, Stockholm, Sweden, pages 459-470, Berlin, Germany, Springer-Verlag.
21. Robert, L. 1993. Perception Stéréoscopique de Courbes et de Surfaces Tridimensionelles. Applications à la Robotique Mobile. PhD thesis, Ecole Polytechnique.
22. Robert, Luc and Faugeras, Olivier D. 1991. Curve-Based Stereo: Figurai Continuity and Curvature. In CVPR91, pages 57-62. IEEE. Maui, Hawai.
23. Semple, J.G. and Kneebone, G.T. 1952. Algebraic Protective Geometry. Oxford: Clarendon Press, Reprinted 1979.
24. Shashua, A. 1993. On geometric and algebraic aspects of 3d affine and projective structures from perspective 2d views. Technical Report A.I. Memo No. 1405, MIT.
25. Shashua, Amnon. 1993. Projective Depth: A Geometric Invariant for 3D Reconstruction from Two Perspective\Orthographic Views and for Visual Recognition. In Proc. Fourth International Conference on Computer Vision, pages 583-590.
26. Shashua, Amnon. Algebraic Functions for Recognition. IEEE Transactions on Pattern Analysis and Machine Intelligence, 1994. To appear.
27. Ullman, Shimon and Basri, Ronen. 1991. Recognition by Linear Combinations of Models. IEEE Transactions on Pattern Analysis and Machine Intelligence, 13(10):992-1006.
28. Yachida, M. 1986. 3D Data Acquisition by Multiple Views. In O.D. Faugeras and G. Giralt, editors, Robotics Research: the Third International Symposium, pages 11-18. MIT Press, Cambridge, Mass.
29. Yang, D. and Illingworth, J. 1992. Line based trinocular stereo. In Proceedings of the British Machine Vision Conference, Leeds, UK, pages 327-336.