Self-calibration of a 1D projective camera and its application to the self-calibration of a 2D projective camera

IEEE Transactions on Pattern Analysis and Machine Intelligence

Volumn 22, Issue 10, 2000, Pages 1179-1185

  Faugeras, Olivier ^a   Quan, Long ^b   Strum, Peter ^b  

^a INRIA   (France)

^b CNRS GRAVIR INRIA   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CAMERAS; COMPUTATIONAL GEOMETRY; CONSTRAINT THEORY; MATRIX ALGEBRA; MOTION COMPENSATION; PARAMETER ESTIMATION; POLYNOMIALS; TENSORS; VECTORS;

ONE DIMENSIONAL PROJECTIVE CAMERA; PLANAR MOTION; SELF CALIBRATION; VISION GEOMETRY;

COMPUTER VISION;

EID: 0034290895     PISSN: 01628828     EISSN: None     Source Type: Journal    
DOI: 10.1109/34.879801     Document Type: Article

References (29)

1. M. Armstrong, A. Zisserman, and R. Hartley, "Self-Calibration from Image Triplets," Proc. Fourth European Conf. Computer Vision, B. Buxton and R. Cipolla, eds., pp. 3-16, Apr. 1996.
2. M. Armstrong, "Self-Calibration from Image Sequences," PhD thesis, Univ. of Oxford, 1996.
3. K. Åström, "Invariancy Methods for Points, Curves, and Surfaces in Computational Vision," PhD thesis, Lund Univ., 1996.
4. P.A. Beardsley and A. Zisserman, "Affine Calibration of Mobile Vehicles," Proc. Europe-China Workshop Geometrical Modeling and Invariants for Computer Vision, R. Mohr and C. Wu, eds., pp. 214-221, Apr. 1995.
5. T. Buchanan, "The Twisted Cubic and Camera Calibration," Computer Vision, Graphics, and Image Processing, vol. 42, no. 1, pp. 130-132, Apr. 1988.
6. O. Faugeras and G. Toscani, "Camera Calibration for 3D Computer Vision," Proc. Int'l Workshop Machine Vision and Machine Intelligence, 1987.
7. O. Faugeras, "Stratification of Three-Dimensional Vision: Projective, Affine, and Metric Representations," J. Optical Soc. Am., vol. 12, pp. 465-484, 1995.
8. O. Faugeras and S. Maybank, "Motion from Point Matches: Multiplicity of Solutions," Int'l J. Computer Vision, vol. 3, no. 4, pp. 225-246, 1990.
9. O. Faugeras and B. Mourrain, "About the Correspondences of Points Between n Images," Proc. Workshop Representation of Visual Scenes, pp. 37-44, June 1995.
10. O. Faugeras, L. Quan, and P. Sturm, "Self-Calibration of a 1D Projective Camera and Its Application to the Self-Calibration of a 2D Projective Camera," Proc. European Conf. Computer Vision, June 1998.
11. R. Hartley, "In Defence of the 8-Point Algorithm," Proc. Fifth Int'l Conf. Computer Vision, pp. 1,064-1,070, June 1995.
12. R.I. Hartley, "Euclidean Reconstruction from Uncalibrated Views," Proc. Darpa-Esprit Workshop Applications of Invariants in Computer Vision, pp. 187-202, Oct. 1993.
13. R.I. Hartley, "A Linear Method for Reconstruction from Lines and Points," Proc. Fifth Int'l Conf. Computer Vision, E. Crimson, ed., pp. 882-887, June 1995.
14. A. Heyden, "Geometry and Algebra of Multiple Projective Transformations," PhD thesis, Lund Univ., 1995.
15. A. Heyden and K. Astrom, "Algebraic Properties of Multilinear Constraints," Proc. Fourth European Conf. Computer Vision, B. Buxton and R. Cipolla, eds., pp. 671-682, Apr. 1996.
16. A. Heyden, "A Common Framework for Multiple-View Tensors," Proc. Fifth European Conf. Computer Vision, pp. 3-19, June 1998.
17. Q.-T. Luong and O. Faugeras, "Self-Calibration of a Moving Camera from Point Correspondences and Fundamental Matrices," The Int'l J. Computer Vision, vol. 22, no. 3, pp. 261-289, 1997.
18. S.J. Maybank and O.D. Faugeras, "A Theory of Self Calibration of a Moving Camera," Int'l J. Computer Vision, vol. 8, no. 2, pp. 123-151, 1992.
19. M. Pollefeys, R. Koch, and L. Van Gool, "Self-Calibration and Metric Reconstruction in Spite of Varying and Unknown Internal Camera Parameters," Int'l Conf. Computer Vision, pp. 90-95, 1998.
20. L. Quan and T. Kanade, "Affine Structure from Line Correspondences with Uncalibrated Affine Cameras," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 19, no. 8, pp. 834-845, Aug. 1997.
21. J.G. Semple and G.T. Kneebone, Algebraic Projective Geometry. Oxford Science Publication, 1952.
22. A. Shashua, "Algebraic Functions for Recognition," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 17, no. 8, pp. 779-789, Aug. 1995.
23. M. Spetsakis and J. Aloimonos, "A Unified Theory of Structure from Motion," Proc. DARPA Image Understanding Workshop, pp. 271-283, 1990.
24. P. Sturm, "Vision 3D Non Calibrée: Contributions à la Reconstruction Projective et étude des Mouvements Critiques Pour L'Auto-Calibrage," PhD Thesis, INPG, Dec. 1997.
25. P.H.S. Torr and A. Zissermann, "Performance Characterization of Fundamental Matrix Estimation Under Image Degradation," Machine Vision and Applications, vol. 9, pp. 321-333, 1997.
26. B. Triggs, "Matching Constraints and the Joint Image," E. Crimson, ed., Proc. Fifth Int'l Conf. Computer Vision, pp. 338-343, June 1995.
27. B. Triggs, "Autocalibration and the Absolute Quadric," Proc. IEEE Conf. Computer Vision and Pattern Recognition, pp. 609-614, June 1997.
28. Cyril Zeller and Olivier Faugeras, "Camera Self-Calibration from Video Sequences: The Kruppa Equations revisited," Research report 2793, INRIA, Feb. 1996.
29. Z. Zhang, R. Deriche, O. Faugeras, and Q.T. Luong, "A Robust Technique for Matching Two Uncalibrated Images Through the Recovery of the Unknown Epipolar Geometry," Artificial Intelligence, vol. 78, pp. 87-119, 1995.