Identification of Riccati dynamics under perspective and orthographic observations

IEEE Transactions on Automatic Control

Volumn 45, Issue 7, 2000, Pages 1267-1278

  Ghosh, Bijoy K ^a,b   Inaba, Hiroshi ^c   Takahashi, Satoru ^b  

^a IEEE   (United States)

^b WASHINGTON UNIVERSITY   (United States)

^c TOKYO DENKI UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

AFFINE FLOW; ORTHOGRAPHIC PROJECTION;

CAMERAS; CHARGE COUPLED DEVICES; MATHEMATICAL MODELS; OPTICAL FLOWS; RICCATI EQUATIONS;

PARAMETER ESTIMATION;

EID: 0034223857     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.867019     Document Type: Article

References (26)

1. K. Kanatani, Group Theoretical Methods in Image Understanding. New York: Springer Verlag, 1990.
2. B. K. Ghosh and E. P. Loucks, "A perspective theory for motion and shape estimation in machine vision," SIAM J. Contr. Optim., vol. 33, no. 5, pp. 1530-1559, 1995.
3. A. M. Waxman and U. Ullman, "Surface structure and 3-d motion from image flow: Kinematic analysis," Int. J. Robotics Res., vol. 4, pp. 72-94, 1985.
4. B. K. P. Horn, Robot Vision. Cambridge, MA: MIT Press, 1986.
5. B. K. P. Horn and M. J. Brooks, Shape From Shading. Cambridge, MA: The MIT Press, 1989.
6. B. K. Ghosh, M. Jankovic, and Y. T. Wu, "Perspective problems in system theory and its application to machine vision," J. Math. Syst., Estimation Contr., vol. 4, no. 1, pp. 3-38, 1994.
7. J. Feldmar and N. Ayache, "Rigid, Affine and locally affine registration of free form surfaces," INRIA, Rapport de recherche, RR-2220, 1994.
8. Z. Zhang, "Iterative point matching for registration of free-form curves and surfaces," Int. J. Comput. Vis., to be published.
9. B. K. Ghosh and E. P. Loucks, "A realization theory for perspective systems with applications to parameter estimation problems in machine vision," IEEE Trans. Automat. Contr., vol. 41, pp. 1706-1722, 1996.
10. S. Ullman, The Interpretation of Visual Motion. Cambridge, MA: MIT Press, 1979.
11. J. K. Aggarwal and N. Nandhakumar, "On the computation of motion from sequences of images - A review," Proc. IEEE, vol. 76, 1988.
12. S. Maybank, "Theory of reconstruction from image motion," in Springer Series in Information Sciences. New York: Springer Verlag, 1993, vol. 28.
13. J. W. Roach and J. K. Aggarwal, "Determining the movement of objects from a sequence of images," IEEE Trans. Pattern Anal. Mach. Intell., vol. 6, pp. 554-562, 1980.
14. T. Kanade, "Recovery of the three dimensional shape of an object from a single view," Artificial Intel., vol. 17, pp. 409-460, 1981.
15. R. Y. Tsai and T. S. Huang, "Estimating three dimensional motion parameters of a rigid planar patch," IEEE Trans. ASSP, vol. 29, pp. 1147-1152, 1981.
16. R. Y. Tsai, T. S. Huang, and W. L. Zhu, "Estimating three dimensional motion parameters of a rigid planar patch - II: Singular value decomposition," IEEE Trans. ASSP, vol. 30, pp. 525-534, 1982.
17. R. Y. Tsai and T. S. Huang, "Uniqueness and estimation of three dimensional motion parameters of rigid objects with curved surfaces," IEEE Trans. Pattern Anal. Mach. Intell., vol. 6, pp. 13-26, 1984.
18. _, "Estimating 3-dimensional motion parameters of a rigid planar patch - III: Finite point correspondences and three views problem," IEEE Trans. ASSP, vol. 32, pp. 213-220, 1984.
19. O. D. Faugeras and S. Maybank, "Motion from point matches Multiplicity of solutions," Int. J. Comput. Vision, vol. 4, pp. 225-245, 1990.
20. R. N. Nelson and T. Y. Young, "Determining three dimensional object shape and orientation from a single perspective view," Opt. Eng., vol. 25, pp. 394-401, 1986.
21. H. C. Longuet-Higgins, "A computer algorithm for reconstructing a scene from two projections," Nature, vol. 293, no. 10, pp. 133-135, 1981.
22. X. Zhuang, T. S. Huang, and R. M. Haralick, "Two-view motion analysis: A unified algorithm," J. Opt. Soc. Amer., vol. A-3, pp. 1492-1500, 1986.
23. X. Zhuang, "A simplification to linear two-view motion algorithm," Comput. Vision Graphics Image Process, vol. 46, pp. 175-178, 1989.
24. A. N. Netravali, T. S. Huang, A. S. Krishnakumar, and R. J. Holt, "Algebraic methods in 3-D motion estimation from two-view point correspondences," Int. J. Imaging Syst. Tech., vol. 1, pp. 78-99, 1989.
25. J. Weng, T. S. Huang, and N. Ahuja, "Motion and structure from two perspective views: Algorithms, error analysis and error estimation," IEEE Trans. Pattern Anal. Machine Intel., vol. 11, pp. 451-467, 1989.
26. R. Y. Tsai, T. S. Huang, and W. L. Zhu, "Estimating three dimensional motion parameters of a rigid planar patch - II: Singular value decomposition," IEEE Trans. Acoust., Speech, Signal Processing, vol. 31, p. 514, 1983.