Computation of optical flow using basis functions

IEEE Transactions on Image Processing

Volumn 6, Issue 9, 1997, Pages 1246-1254

  Rakshit, Subrata ^a,b   Anderson, Charles H ^c  

^a IEEE   (India)

^b C V Raman Nagar   (India)

^c WASHINGTON UNIVERSITY SCHOOL OF MEDICINE   (United States)

Author keywords

Basis functions; Derivative estimation; Motion estimation; Multiresolution; Optical flow; Oversampling

Indexed keywords

BASIS FUNCTIONS; HORN'S ALGORITHM; MOTION ESTIMATION;

ALGORITHMS; APPROXIMATION THEORY; COMPUTATIONAL METHODS; ERROR ANALYSIS; FUNCTIONS; IMAGE CODING; OPTICAL FLOWS;

IMAGE ANALYSIS;

EID: 0031232739     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/83.623188     Document Type: Article

References (20)

1. P. Anandan, "A computational framework and an algorithm for the measurement of visual motion," Int. J. Comput. Vis., vol. 2, pp. 283-310, 1989.
2. C. H. Anderson, P. J. Burt, G. S. van der Wal, "Change detection and tracking using pyramid transform techniques," Intelligent Robots Comput. Vis., vol. 579, pp 72-78. 1985.
3. C. H. Anderson and S. Rakshit, "Interpolation in multiscale representations," in Shape in Picture: Mathematical Description of Shape in Grey Level Images, O. Ying-Lie et al., Eds. New York: Springer-Verlag, 1992.
4. J. Barron, D. Fleet, S. S. Beauchemin, and T. Burkitt, "Performance of optical flow techniques," in Proc. IEEE CVPR, Champaign, IL, 1992, pp. 236-242.
5. J. R. Bergen, P. J. Burt, R. Hingorani, S. Peleg, "A three-frame algorithm for estimating two-component image motion," IEEE Trans. Pattern Anal. Machine Intell., vol. 14, pp. 886-895, Sept. 1992.
6. P. J. Burt and E. H. Adelson, "The Laplacian pyramid as a compact image code," IEEE Trans. Commun., vol. COMM-31, pp. 532-540. Apr. 1983.
7. I. Daubechies, "The wavelet transform, time-frequency localization and signal analysis," IEEE Trans. Inform. Theory, vol. 36, pp. 961-1005, Sept. 1990.
8. W. T. Freeman and E. H. Adelson, "The design and use of steerable filters," IEEE Trans. Pattern Anal. Machine Intell., vol. 13, Sept 1991.
9. H. Greenspan et al., "Overcomplete steerable pyramid filters and rotation invariance," in IEEE Conf. Computer Vision and Pattern Recognition, Seattle, WA, June 1994.
10. R. M. Haralick and J. S. Lee, "The facet approach to optic flow," in Proc. Image Understanding Workshop, L. S. Baumann, Ed., 1983, pp. 84-93.
11. B. K. P. Horn, Robot Vision. New York: McGraw-Hill, 1986.
12. B. Horn and B. Schunck, "Determining optical flow," Artif. Intell., vol. 17, pp. 185-204, 1981.
13. J. K. Kearney, W. B. Thompson, and D. L. Boley, "Optical flow estimation: An error analysis of gradient-based methods with local optimization," IEEE Trans. Pattern Anal. Machine Intell., vol. 9, pp. 229-244. Mar. 1987.
14. S. G. Mallat, "A theory for multiresolution signal decomposition: The wavelet representation," IEEE Trans. Pattern Anal. Machine Intell., vol. 11, pp 674-693, July 1989.
15. H. Nagel, "On the estimation of optical flow: relations between different approaches and some new results," Artif. Intell., vol. 33, pp. 299-324, 1987.
16. B. Shahraray and M. K. Brown, "Robust depth estimation from optical flow," in Proc. Int. Conf. Computer Vision '89, pp. 641-650.
17. E. P. Simoncelli, "Distributed representation and analysis of visual motion," Ph.D. dissertation, Dept. Electr. Eng. Comput. Sci., Mass Inst. Technol., Cambridge, Jan. 1993.
18. E. P. Simoncelli, W. T. Freeman, E. H. Adelson, and D. J. Heeger, "Shiftable multiscale transforms," IEEE Trans. Inform. Theory, vol. 38, pp. 587-607, Mar. 1992.
19. O. Tretiak and L. Pastor, "Velocity estimation form image sequences with second order differential operators," in Proc. Int. Conf. Pattern Recognition, Montreal, P.Q., Canada, 1984, pp. 20-22.
20. J. Weber and J. Malik, "Robust computation of optical flow in a multiscale differential framework," Rep. UCB/CSD 92/709, Dept. Electr. Eng. Comput. Sci., Univ. Calif., Berkeley, Nov. 1992.