Resolving ambiguities in auto-calibration

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 356, Issue 1740, 1998, Pages 1193-1211

  Zisserman, Andrew ^a   Liebowitz, David ^a   Armstrong, Martin ^a  

^a UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Camera calibration; Projective geometry; Reconstruction ambiguity; Self calibration; Stereo

Indexed keywords

EID: 3242758857     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.1998.0217     Document Type: Article

References (30)

1. Armstrong, M. 1996 Self-calibration from image sequences. Ph.D. thesis, University of Oxford, UK.
2. Armstrong, M., Zisserman, A. & Beardsley, P. 1994 Euclidean reconstruction from uncalibrated images. In Proc. British Machine Vision Conf., pp. 509-518.
3. Armstrong, M., Zisserman, A. & Hartley, R. 1996 Self-calibration from image triplets. In Proc. European Conf. on Computer Vision. Lecture Notes in Computer Science, vol. 1064/1065, pp. 3-16. Springer.
4. Beardsley, P. & Zisserman, A. 1995 Affine calibration of mobile vehicles. In Europe-China workshop on Geometrical Modelling and Invariants for Computer Vision (ed. R. Mohr & W. Chengke), pp. 214-221. Xi'an, China: Xidan University Press.
5. Beardsley, P., Torr, P. & Zisserman, A. 1996 3D model acquisition from extended image sequences. In Proc. European Conf. on Computer Vision. Lecture Notes in Computer Science, vol. 1064/1065, pp. 683-695. Springer.
6. Bougnoux, S. 1998 From Projective to Euclidean space under any practical situation, a criticism of self-calibration. In Proc. 6th Int. Conf. on Computer Vision, Bombay, pp. 790-796.
7. Devernay, F. & Faugeras, O. 1996 From projective to Euclidean reconstruction. In Proc. Computer Vision and Pattern Recognition, pp. 264-269.
8. Faugeras, O. 1993 Three-dimensional computer vision: a geometric viewpoint. MIT Press.
9. Faugeras, O. 1995 Stratification of three-dimensional vision: projective, affine, and metric representation. J. Opt. Soc. Am. A 12, 465-484.
10. Faugeras, O., Luong, Q. & Maybank, S. 1992 Camera self-calibration: theory and experiments. In Proc. European Conf. on Computer Vision. Lecture Notes in Computer Science, vol. 588, pp. 321-334. Springer.
11. Hartley, R. 1992 Estimation of relative camera positions for uncalibrated cameras. In Proc. European Conf. on Computer Vision. Lecture Notes in Computer Science, vol. 588, pp. 579-587. Springer.
12. Hartley, R. 1994a Euclidean reconstruction from uncalibrated views. In Applications of invariance in computer vision (ed. J. Mundy, A. Zisserman & D. Forsyth), pp. 237-256. Lecture Notes in Computer Science, vol. 825. Springer.
13. Hartley, R. 1994b Self-calibration from multiple views with a rotating camera. In Proc. European Conf. on Computer Vision. Lecture Notes in Computer Science, vol. 800/801, pp. 471-478. Springer.
14. Hartley R. 1995 A linear method for reconstruction from lines and points. In Proc. Int. Conf. on Computer Vision, pp. 882-887.
15. Heyden, A. & Åström, K. 1997 Euclidean reconstruction from image sequences with varying and unknown focal length and principal point. In Proc. Computer Vision and Pattern Recognition.
16. Horaud, R. & Csurka, G. 1998 Self-calibration and Euclidean reconstruction using motions of a stereo rig. In Proc. 6th Int. Conf. on Computer Vision, Bombay, pp. 96-103.
17. Kanatani, K. 1992 Geometric computation for machine vision. Oxford University Press.
18. Laveau, S. 1996 Geometry of a system of N cameras. Theory, estimation, and applications. Ph.D. thesis, INRIA.
19. Luong, Q. 1992 Matrice fondamentale et autocalibration en vision par ordinateur. Ph.D. thesis, Université de Paris-Sud, France.
20. Luong, Q. & Viéville, T. 1994 Canonic representations for the geometries of multiple projective views. In Proc. 3rd European Conf. on Computer Vision, Stockholm, pp. 589-599.
21. Luong, Q. & Viéville, T. 1996 Canonical representations for the geometries of multiple projective views. Computer Vision Image Understanding 64, 193-229.
22. Mundy, J. & Zisserman, A. 1992 Geometric invariance in computer vision. MIT Press.
23. Pollefeys, M., Van Gool, L. & Proesmans, M. 1996 Euclidean 3D reconstruction from image sequences with variable focal lengths. In Proc. European Conf. on Computer Vision. Lecture Notes in Computer Science, vol. 1064/1065, pp. 31-42. Springer.
24. Pollefeys, M., Koch, R. & Van Gool, L. 1998 Self calibration and metric reconstruction in spite of varying and unknown internal camera parameters. In Proc. 6th Int. Conf. on Computer Vision, Bombay, pp. 90-95.
25. Semple, J. & Kneebone, G. 1979 Algebraic projective geometry. Oxford University Press.
26. Sturm, P. 1997 Critical motion sequences for monocular self-calibration and uncalibrated Euclidean reconstruction. In Proc. Conf. on Computer Vision and Pattern Recognition, Puerto Rico, pp. 1100-1105.
27. Tomasi, C. & Kanade, T. 1992 Shape and motion from image streams under orthography: a factorization approach. Int. J. Computer Vision 9, 137-154.
28. Triggs, B. 1997 Auto-calibration and the absolute quadric. In Proc. Conf. on Computer Vision and Pattern Recognition, Puerto Rico, pp. 609-614.
29. Zeller, C. 1996 Projective, affine and Euclidean calibration in computer vision and the application of three dimensional perception. Ph.D. thesis, Robot Vis Group, INRIA Sophia-Antipolis.
30. Zisserman, A., Beardsley, P. & Reid, I. 1995 Metric calibration of a stereo rig. In IEEE Workshop on Representation of Visual Scenes, Boston, pp. 93-100.