Overall view regarding fundamental matrix estimation

Image and Vision Computing

Volumn 21, Issue 2, 2003, Pages 205-220

  Armangué, Xavier ^a   Salvi, Joaquim ^a  

^a UNIVERSITY OF GIRONA   (Spain)

Author keywords

Epipolar geometry; Fundamental matrix; Performance evaluation

Indexed keywords

ALGORITHMS; COMPUTATIONAL GEOMETRY; COMPUTER PROGRAMMING; ESTIMATION; IMAGE PROCESSING; INTERNET; ITERATIVE METHODS; LINEAR SYSTEMS;

FUNDAMENTAL MATRIX ESTIMATION;

COMPUTER VISION;

EID: 0037428975     PISSN: 02628856     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0262-8856(02)00154-3     Document Type: Review

References (47)

1. Ito M. Robot vision modelling - camera modelling and camera calibration. Advanced Robotics. 5:(3):1991;321-335.
2. Batlle P.I.J., Mouaddib E., Salvi J. A survey: recent progress in coded structured light as a technique to solve the correspondence problem. International Journal of Pattern Recognition. 31:(7):1998;963-982.
3. Hall E.L., Tio J.B.K., McPherson C.A., Sadjadi F.A. Measuring curved surfaces for robot vision. Computer Journal. 15:(12):1982;42-54.
4. Faugeras O.D., Toscani G. The Calibration Problem for Stereo, Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, Los Alamitos, CA. 1986;. pp. 15-20.
5. Tsai R.Y. A versatile camera calibration technique for high-accuracy 3D machine vision metrology using off-the-shelf TV cameras and lenses. IEEE International Journal on Robotics and Automation. RA-3:(4):1987;323-344.
6. Weng J., Cohen P., Herniou M. Camera calibration with distortion models and accuracy evaluation. IEEE Transactions on Pattern Analysis and Machine Intelligence. 14:(10):1992;965-980.
7. Salvi J., Armangué X., Batlle J. A comparative review of camera calibrating methods with accuracy evaluation. Pattern Recognition. 35:(7):2002;1617-1635.
8. Faugeras O.D. Three-Dimensional Computer Vision. 1993;The MIT Press, Cambridge, MA.
9. Hartley R.I. Euclidean reconstruction from uncalibrated views. Second European Workshop on Applications of Invariance in Computer Vision. 1993;237-257.
10. Mohr R., Arbogast E. It can be done without camera calibration. International Journal of Pattern Recognition Letters. 12:1991;39-43.
11. Longuet-Higgins H.C. A computer algorithm for reconstructing a scene from two projections. Nature. 293:1981;133-135.
12. Huang T.S., Faugeras O.D. Some proprieties of the E matrix in two-view motion estimation. IEEE Transactions on Pattern Analysis and Machine Intelligence. 11:(12):1989;1310-1312.
13. Faugeras O.D., Luong Q.T., Maybank S.J. Camera self-calibration: theory experiments. European Conference on Computer Vision. 1992;321-334.
14. Hartley R.I. Kruppa's equations derived from the fundamental matrix. Pattern Analysis and Machine Intelligence. 19:(2):1997;133-135.
15. Faugeras O.D. What can be seen in three dimensions with an uncalibrated stereo ring? European Conference on Computer Vision. 588:1992;563-578.
16. Hartley R., Gupta R., Chang T. Stereo from uncalibrated cameras. Computer Vision and Pattern Recognition. 1992;761-764.
17. Hartley R.I. Estimation of relative camera position for uncalibrated cameras. European Conference on Computer Vision. 1992;579-587.
18. Deriche R., Zhang Z., Luong Q.-T., Faugeras O. Robust recovery of the epipolar geometry for an uncalibrated stereo ring. European Conference on Computer Vision. 800:1994;567-576.
19. Hartley R.I. Self-calibration from multiple views with a rotating camera. European Conference on Computer Vision. 800:1994;471-478.
20. Li M. Camera calibration of a head-eye system for active vision. European Conference on Computer Vision. 800:1994;543-554.
21. Luong Q.-T., Viéville T. Canonic representation for geometries of multiple projective views. European Conference on Computer Vision. 800:1994;589-599.
22. Luong Q.-T., Faugeras O.D. A stability analysis of the fundamental matrix. European Conference on Computer Vision. 800:1994;577-588.
23. Brooks M.J., Agapito L., Huynh D.Q., Baumela L. Direct Methods for Self-Calibration of a Moving Stereo Head, Fourth European Conference on Computer Vision, vol. 2, Cambridge, UK. 1996;. pp. 415-426.
24. Jang J.-H., Ki-Sang H. Self-Calibration of a Stereo-Camera by Pure Translational Motion, IEEE International Conference on Image Processing, vol. 2, Laussane, Switzerland. 1996;. pp. 297-300.
25. Zhang Z., Luong Q.-T., Faugcras O. Motion of an uncalibrated stereo ring: self-calibration and metric reconstruction. IEEE Transactions on Robotics and Automation. 12:(1):1996;103-113.
26. Zhang Z. Determining the epipolar geometry and its uncertainty: a review. International Journal of Computer Vision. 27:(2):1998;161-198.
27. Torr P.H.S., Murray D.W. The development and comparison of robust methods for estimating the fundamental matrix. International Journal of Computer Vision. 24:(3):1997;271-300.
28. Li F., Brady M., Wiles C. Fast Computation to the Fundamental Matrix for Active Stereo Vision System, Fourth European Conference on Computer Vision, vol. 1, Cambridge, UK. 1996;. pp. 157-166.
29. Rousseeuw P.J., Leroy A.M. Robust Regression and Outlier Detection. 1987;Wiley, New York.
30. Bober M., Greorgis N., Kittler J. On accurate and robust estimation of fundamental matrix. Computer Vision and Image Understanding. 72:(1):1998;39-53.
31. Stewart C.V. MINPRAN: a new robust estimator from computer vision. IEEE Transactions on Pattern Analysis and Machine Intelligence. 17:(10):1995;925-938.
32. Torr P.H.S., Zisserman A. MLESAC: a new robust estimator with application to estimating image geometry. Computer Vision and Image Understanding. 78:2000;138-156.
33. Luong Q.-T., Faugeras O.D. The fundamental matrix: theory, algorithms, and stability analysis. Intemational Journal of Computer Vision. 17:(1):1996;43-75.
34. J. Salvi, An approach to coded structured light to obtain three dimensional information, PhD Thesis, Universitat de Girona, Departament d'Electrònica, Informàtica i Automàtica, 1997.
35. Hartley R., Zisserman A. Multiple View Geometry in Computer Vision. 2000;Cambridge University Press, London.
36. W. Chojnacki, M.J. Brooks, D. Galwey, A. van den Hengel, A new approach to constrained parameter estimation applicable to some computer vision problems, Statistical Methods in Video Processing Workshop held in conjunction with ECCV'02, Copenhagen, Denmark, June 1-2, 2002.
37. Brooks M.J., Chojnacki W., Gawley D., van den Hengel A. What value covariance information in estimating vision parameters? Society I.C. Proceedings of the Eighth IEEE International Conference on Computer Vision. vol. 1:2000;302-308.
38. Chojnacki W., Brooks M.J., van den Hengel A., Gawley D. On the fitting of surfaces to data with covariances. IEEE Transactions on Pattern Analysis and Machine Intelligence. 22:(11):2000;1294-1303.
39. Huber P.J. Robust Statistics. 1981;Wiley, New York.
40. Mosteller E., Turkey J. Data and Analysis and Regression. 1977;Addison-Wesley, Reading, MA.
41. Torr P.H.S. Bayesian model estimation and selection for epipolar geometry and generic manifold fitting. International Journal of Computer Vision. 50:(1):2002;35-61.
42. Hartley R. In defence of the 8-point algorithm. Proceedings of the Eighth International Conference on Computer Vision. 1995;IEEE Computer Society Press, Boston.
43. Z. Zhang, R. Deriche, O. Faugeras, Q.-T. Luong, A robust technique for matching two uncalibrated images through the recovery of the unknown epipolar geometry, Technical Report 2273, Institut National de Recherche en Informatique et Automatique, May 1994.
44. Z. Zhang, The matching problem: the state of the art, Technical Report 2146, Institut National de Recherche en Informatique et en Automatique, December 1993.
45. Csurka G., Zeller C., Zhang Z., Faugeras O.D. Characterizing the uncertainty of the fundamental matrix. Computer Vision and Image Understanding. 68:(1):1997;18-36.
46. Torr P.H.S., Zisserman A. Robust detection of degenerate configurations while estimating the fundamental matrix. Computer Vision and Image Understanding. 71:(3):1998;312-333.
47. Zhang Z. On the epipolar geometry between two images with lens distortion. International Conference on Pattern Recognition. 1:1996;407-411.