A variational approach to problems in calibration of multiple cameras

IEEE Transactions on Pattern Analysis and Machine Intelligence

Volumn 29, Issue 8, 2007, Pages 1322-1338

  Unal, Gozde ^a   Yezzi, Anthony ^b   Soatto, Stefano ^c   Slabaugh, Greg ^a  

^a SIEMENS CORPORATE RESEARCH   (United States)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^c Department of Civil and Environmental Engineering   (United States)

Author keywords

Calibration; Camera parameters refinement; Color calibration; Lens distortion calibration; Variational methods

Indexed keywords

CAMERA PARAMETERS REFINEMENT; COLOR CALIBRATION; LENS DISTORTION CALIBRATION;

ALGORITHMS; COMPUTATIONAL COMPLEXITY; COMPUTER SIMULATION; COMPUTER VISION; IMAGE RECONSTRUCTION; OPTICAL INSTRUMENT LENSES; VARIATIONAL TECHNIQUES;

CAMERAS;

EID: 34447292569     PISSN: 01628828     EISSN: None     Source Type: Journal    
DOI: 10.1109/TPAMI.2007.1035     Document Type: Article

References (33)

1. O. Faugeras and R. Keriven, "Variational Principles, Surface Evolution PDES, Level Set Methods and the Stereo Problem," technical report, INRIA, 1996.
2. A. Yezzi and S. Soatto, "Stereoscopic Segmentation," Int'l J. Computer Vision, vol. 53, pp. 31-43, 2003.
3. A. Yezzi and S. Soatto, "Structure from Motion for Scenes without Features," Proc. IEEE Conf. Computer Vision and Pattern Recognition pp. 525-532, 2003.
4. I. Sobel, "On Calibrating Computer Controlled Cameras for Perceiving 3DScenes," Artifical Intellligence, vol. 5, pp. 185-198, 1974.
5. R.Y. Tsai, "A Versatile Camera Calibration Technique for High-Accuracy 3D Machine Vision Metrology Using Off-the-Shelf TV Cameras and Lenses," J. Robotics and Automation, vol. 3, pp. 323-344, 1987.
6. R. Hartley and A. Zisserman, Multiple View Geometry in Computer Vision. Cambridge Univ. Press, 2000.
7. B. Triggs, "Camera Pose and Calibration from 4 or 5 Known 3D Points," Proc. IEEE Conf. Computer Vision and Pattern Recognition, pp. 278-284, 1999.
8. P. Gurdjos and P. Sturm, "Methods and Geometry for Plane-Based Self-Calibration," Proc. IEEE Conf. Computer Vision and Pattern Recognition, pp. 491-496, 2003.
9. O.D. Faugeras, Q.T. Luong, and S.J. Maybank, "Camera Self-Calibration: Theory and Experiments," Proc. European Conf. Computer Vision, pp. 321-334, 1992.
10. Y. Seo, A. Heyden, and R. Cipolla, "A Linear Iterative Method for Auto-Calibration Using the DAC Equation," Proc. IEEE Conf. Computer Vision and Pattern Recognition, pp. 880-885, 2001.
11. J. Oliensis, "Fast and Accurate Self Calibration," Proc. Int'l Conf. Computer Vision, pp. 745-752, 1999.
12. M. Pollefeys, R. Koch, and L. Van Gool, "Self-Calibration and Metric Reconstruction in Spite of Varying and Unknown Intrinsic Camera Parameters," Int'l J. Computer Vision, vol. 32, no. 1, pp. 7-25, 1999.
13. T. Svoboda, D. Martinec, and T. Pajdla, "A Convenient Multi-Camera Self-Calibration for Virtual Environments," PRESENCE: Teleoperators and Virtual Environments, vol. 14, no. 4, 2005.
14. J. Heikkila and O. Silven, "A Four-Step Camera Calibration Procedure with Implicit Image Correction," Proc. IEEE Conf. Computer Vision and Pattern Recognition, pp. 1106-1112, 1997.
15. G. Unal and A. Yezzi, "A Variational Approach to Problems in Calibration of Multiple Cameras," Proc. IEEE Conf. Computer Vision and Pattern Recognition, pp. 172-178, 2004.
16. G. Unal, A. Yezzi, H. Baker, and B. Culbertson, "A Variational Approach to Calibration of Multiple Cameras," Technical Report HPL-TR-2004-219, HP Labs, Palo Alto, Calif., 2004.
17. F. Devernay and O. Faugeras, "Straight Lines Have to Be Straight," Machine Vision and Applications, vol. 13, pp. 14-24, 2001.
18. J. Weng, P. Cohen, and M. Herniou, "Camera Calibration with Distortion Models and Accuracy Evaluation," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 14, pp. 965-980, 1992.
19. Z. Zhang, "A Flexible New Technique for Camera Calibration," Technical Report MSR-TR-98-71, Microsoft Research, 1998.
20. D.C. Brown, "Decentering Distortion of Lenses," Photogrammetric Eng., vol. 32, 1966.
21. M.T. El-Melegy and A.A. Farag, "Nonmetric Lens Distortion Calibration: Closed-Form Solutions, Robust Estimation and Model Selection," Proc. Int'l Conf. Computer Vision, pp. 554-559, 2003.
22. S.B. Kang, "Semiautomatic Methods for Recovering Radial Distortion Parameters from a Single Image," Technical Report CRL 97/3, CRL, 1997.
23. R. Swaminathan and S.K. Nayar, "Nonmetric Calibration of Wide-Angle Lenses and Polycameras," Proc. IEEE Conf. Computer Vision and Pattern Recognition, pp. 2413-2418, 1999.
24. G.P. Stein, "Lens Distortion Calibration Using Point Correspondences," Proc. IEEE Conf. Computer Vision and Pattern Recognition, pp. 602-608, 1997.
25. A.W. Fitzgibbon, "Simultaneous Linear Estimation of Multiple View Geometry and Lens Distortion," Proc. IEEE Conf. Computer Vision and Pattern Recognition, 2001.
26. F. Du and M. Brady, "Self-Calibration of the Intrinsic Parameters of Cameras for Active Vision Systems," Proc. IEEE Conf. Computer Vision and Pattern Recognition, pp. 477-482, 1993.
27. H.S. Sawhney and R. Kumar, "True Multi-Image Alignment and Its Application to Mosaicing and Lens Distortion Correction," Proc. IEEE Conf. Computer Vision and Pattern Recognition, pp. 450-456, 1997.
28. H.H. Baker, D. Tanguay, I. Sobel, D. Gelb, M.E. Goss, B.W. Culbertson, and T. Malzbender, "The Coliseum Immersive Teleconferencing System," Technical Report HPL-2002-351, HP Labs, 2002.
29. E. Marszalec, "On-Line Color Camera Calibration," Proc. Int'l Conf. Pattern Recognition, pp. 232-237, 1994.
30. S. Osher and J.A. Sethian, "Fronts Propagating with Curvature Dependent Speed: Algorithms Based on the Hamilton-Jacobi Formulation," J. Computational Physics, vol. 49, pp. 12-49, 1988.
31. D. Adalsteinsson and J.A. Sethian, "A Fast Level Set Method for Propagating Interfaces," J. Computational Physics, vol. 118, pp. 269-277, 1995.
32. J. Sokolowski and J.P. Zolesio, Introduction to Shape Optimization, Shape Sensitivity Analysis. Springer, 1992.
33. R.M. Murray, Z. Li, and S. Sastry, A Mathematical Introduction to Robotic Manipulation. CRC Press, 1994.