Lyapunov-based range identification for paracatadioptric systems

IEEE Transactions on Automatic Control

Volumn 53, Issue 7, 2008, Pages 1775-1781

  Hu, Guoqiang ^a   Aiken, Darren ^a   Gupta, Sumit ^a   Dixon, Warren E ^a  

^a UNIVERSITY OF FLORIDA   (United States)

Author keywords

Lyapunov methods; Nonlinear observer; Paracatadioptric vision systems; Range identification; Vision based estimation

Indexed keywords

ASYMPTOTIC ANALYSIS; ASYMPTOTIC STABILITY; CAMERAS; IMAGING SYSTEMS; IMAGING TECHNIQUES; OPTICAL BISTABILITY; OPTOELECTRONIC DEVICES; THREE DIMENSIONAL;

2-D IMAGES; AFFINE MOTION; EUCLIDEAN COORDINATES; LYAPUNOV; LYAPUNOV METHODS; MOTION PARAMETERS; MOVING CAMERAS; NON-AFFINE SYSTEMS; NON-LINEAR OBSERVERS; NONLINEAR OBSERVER; PARACATADIOPTRIC; PARACATADIOPTRIC VISION SYSTEMS; RANGE IDENTIFICATION; RANGE INFORMATION; SIMULATION RESULTS; STABILITY ANALYSIS; STATE ESTIMATORS; VISION-BASED ESTIMATION;

TELECOMMUNICATION NETWORKS;

EID: 52249113751     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2008.928312     Document Type: Article

References (26)

1. Y. Xiong and K. Turkowski, "Creating image-based virtual reality using a self-calibrating fisheye lens," in Proc. IEEE Conf. Computer Vision and Pattern Recognition, 1997, pp. 237-243.
2. M. Aggarwal and N. Ahuja, "High dynamic range panoramic imaging," in Proc. IEEE Int. Conf. Computer Vision, 2001, pp. 2-9.
3. R. Swaminathan and S. Nayar, "Nonmetric calibration of wide-angle lenses and polycameras," IEEE Trans. Pattern Anal. Mach. Intell., vol. 22, no. 10, pp. 1172-1178, Oct. 2000.
4. S. Baker and S. Nayar, "A theory of single-viewpoint catadioptric image formation," Int. J. Comput. Vis., vol. 35, pp. 175-196, 1999.
5. E. Hecht and A. Zadac, Optics, 3rd ed. Reading, MA: Addison-Wesley, 1997.
6. C. Geyer and K. Daniilidis, "Catadioptric projective geometry," Int. J. Comput. Vis., vol. 45, no. 3, pp. 223-243, 2001.
7. S. Nayax, "Catadioptric omnidirectional camera," in Proc. IEEE Conf. Computer Vision Pattern Recognition, 1997, pp. 482-488.
8. W. E. Dixon, Y. Fang, D. M. Dawson, and T. J. Flynn, "Range identification for perspective vision systems," IEEE Trans. Autom. Control, vol. 48, no. 12, pp. 2232-2238, Dec. 2003.
9. X. Chen and H. Kano, "State observer for a class of nonlinear systems and its application to machine vision," IEEE Trans. Autom. Control vol. 49, no. 11, pp. 2085-2091, Nov. 2004.
10. S. Soatto, R. Frezza, and P. Perona, "Motion estimation via dynamic vision," IEEE Trans. Autom. Control, vol. 41, no. 3, pp. 393-413, Mar. 1996.
11. A. Chiuso, P. Favaro, H. Jin, and S. Soatto, "Structure from motion causally integrated over time," IEEE Trans. Pattern Anal. Mach. Intell., vol. 24, no. 4, pp. 523-535, Apr. 2002.
12. H. Kano, B. K. Ghosh, and H. Kanai, "Single camera based motion and shape estimation using extended Kalman filtering," Math. Comput. Model., vol. 34, pp. 511-525, 2001.
13. L. Matthies, T. Kanade, and R. Szeliski, "Kalman filter-based algorithm for estimating depth from image sequence," Int. J. Comput. Vis., vol. 3, pp. 209-236, 1989.
14. X. Chen and H. Kano, "A new state observer for perspective systems," IEEE Trans. Autom. Control, vol. 47, no. 4, pp. 658-663, Apr. 2002.
15. M. Jankovic and B. K. Ghosh, "Visually guided ranging from observations of points, lines and curves via an identifier based nonlinear observer," Syst. Control Lett., vol. 25, pp. 63-73, 1995.
16. D. Karagiannis and A. Astolfi, "A new solution to the problem of range identification in perspective vision systems," IEEE Trans. Autom. Control, vol. 50, no. 12, pp. 2074-2077, Dec. 2005.
17. L. Ma, Y. Chen, and K. L. Moore, "Range identification for perspective dynamic system with single homogeneous observation," in Proc. IEEE Int. Conf. Robotics and Automation, 2004, pp. 5207-5212.
18. L. Ma, Y. Chen, and K. L. Moore, "Range identification for perspective dynamic system using linear approximation," in Proc. IEEE Int. Conf. Robotics and Automation, 2004, pp. 1658-1663.
19. L. Ma, Y. Chen, and K. L. Moore, "Range identification for perspective dynamic systems with 3D imaging surfaces," in Proc. IEEE American Control Conf., 2005, pp. 3671-3675.
20. S. Gupta, D. Aiken, G. Hu, and W. E. Dixon, "Lyapunov-based range and motion identification for a nonaffine perspective dynamic system," in Proc. IEEE American Control Conf., 2006, pp. 4471-4476.
21. D. Aiken, S. Gupta, G. Hu, and W. E. Dixon, "Lyapunov-based range identification for a paracatadioptric system," in Proc. IEEE Conf. Decision Control, 2006, pp. 3879-3884.
22. S. Soatto and P. Perona, "Reducing structure from motion: A general framework for dynamic vision part 1: Modeling," IEEE Trans. Pattern Anal. Mach. Intell., vol. 20, no. 9, pp. 933-942, Sep. 1998.
23. S. Soatto and P. Perona, "Reducing structure from motion: A general framework for dynamic vision part 2: Implementation and experimental assessment," IEEE Trans. Pattern Anal. Mach. Intell., vol. 20, no. 9, pp. 943-960, Sep. 1998.
24. R. Y. Tsai and T. S. Huang, "Estimating three-dimensional motion parameters of a rigid planar patch," IEEE Trans. Acoust., Speech, Signal Process., vol. ASSP-29, no. 6, pp. 1147-1152, Dec. 1981.
25. C. Geyer and K. Danilidis, "A unifying theory for central panoramic systems and practical implications," in Proc. European Conf. Computer Vision, 2000, pp. 445-461.
26. J. J. Slotine and W. Li, Applied Nonlinear Control. Englewood Cliffs, NJ: Prentice-Hall, 1991.