Optimal Brightness Functions for Optical Flow Estimation of Deformable Motion

IEEE Transactions on Image Processing

Volumn 3, Issue 2, 1994, Pages 178-191

  Denney, Thomas S ^a   Prince, Jerry L ^a  

^a JOHNS HOPKINS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; ESTIMATION; LIGHT PROPAGATION; PERFORMANCE; SIMULATION;

BRIGHTNESS FUNCTIONS; DEFORMABLE MOTION; OPTICAL FLOW;

IMAGE PROCESSING;

EID: 0028396887     PISSN: 10577149     EISSN: 19410042     Source Type: Journal    
DOI: 10.1109/83.277899     Document Type: Article

References (41)

1. B. K. P. Horn and B. G. Schunck, “Determining optical flow,” Artificial Inteli, vol.17, pp. 185–203, 1981.
2. B. G. Schunck, “Image flow segmentation and estimation by constraint line clustering,” IEEE Trans. Pattern Anal. Machine Inteli, vol. 11, no. 10, pp. 1010–1027, Oct. 1989.
3. B. G. Schunck, “The image flow constraint equation,” CVGIP, vol. 35, pp. 20–46, 1986.
4. 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 Intell., vol. 11, no. 5, pp. 451—476, May 1989.
5. K. Y. Wohn, J. Wu, and R. W. Brockett, “A contour-based recovery of image flow: iterative transformation method,” IEEE Trans. Pattern Anal. Machine Intell., vol. 13, no. 8, pp. 746–760, Aug. 1991.
6. T. J. Broida and R. Chellappa. “Estimation of object motion parameters from noisy images.” IEEE Trans. Pattern Anal. Machine Intell., vol. PAMI-8, no. 1, pp. 90–99, Jan. 1986.
7. T. J. Broida and R. Chellappa, “Estimating the kinematics and structure of a rigid object from a sequence of monocular images.” IEEE Trans. Pattern Anal. Machine Intell., vol. 13, no. 6, pp. 168–176, June 1991.
8. M. Subbarao and A. M. Waxman, “Closed form solutions to image flow equations for planar surfaces in motion,” CVGIP, vol. 36, pp. 208–228, 1986.
9. A. M. Waxman and K. Wohn, “Contour evolution, neighborhood deformation and global image flow: planar surfaces in motion,” Int. J. Robotics Res., vol. 4, pp. 95–108, 1985.
10. J. K. Aggarwal and N. Nandhakumar, “On the computation of motion from sequences of images—a review,” Proc. IEEE, vol. 76, no. 8, pp. 917–935, Aug. 1988.
11. H.-H. Nagel, “Displacement vectors derived from second-order intensity variations in image sequences,” CVGIP, vol. 21, pp. 85–117, 1983.
12. H.-H. Nagel and W. Enkelmann, “An investigation of smoothness constraints for the estimation of displacement vector fields from image sequences,” IEEE Trans. Pattern Anal. Machine Intell., vol. PAMI-8, no. 5, pp. 565–593, Sept. 1986.
13. H.-H. Nagel, “On the estimation of optical flow: Relations between different approaches and some new results,” Artificial Intell., vol. 33, pp. 299–324, 1987.
14. H.-H. Nagel, “On a constraint equation for the estimation of displacement rates in image sequences,” IEEE Trans. Pattern Anal. Machine Intell., vol. 11, no. 1, pp. 13–30, Jan. 1989.
15. P. Werkhoven, A. Toet, and J. J. Koenderink, “Displacement estimates through adaptive affinities,” IEEE Trans. Pattern Anal. Machine Inteli, vol. 12, no. 7, no. 658–663, July 1990.
16. J. Aisbett, “Optical flow with an intensity-weighted smoothing,” IEEE Trans. Pattern Anal. Machine Intell., vol. 11, no. 5, pp. 512–522, May 1989.
17. E. A. Zerhouni, D. M. Parish, W. J. Rogers, A. Yangand, and E. P. Shapiro, “Human heart: tagging with MR imaging—a method for noninvasive assessment of myocardial motion,” Radiology, vol. 169, pp. 59–63, 1988.
18. L. Axel and L. Dougherty, “MR imaging of motion with spatial modulation of magnetization,” Radiology, vol. 171, pp. 841–845, 1989.
19. L. Axel and L. Dougherty, “Heart wall motion: improved method of spatial modulation of magnetizati on for MR imaging,” Radiology, vol. 172, pp. 349, 1989.
20. E. R. McVeigh and E. A. Zerhoauni, “Non-invasive measurement of transmural gradients in myocardial strain with magnetic resonance imaging,” Radiology, vol. 180, no. 3, pp. 677–683, 1991.
21. J. L. Prince. “Reducing the aperture effect by object tagging in MR imaging,” in Proc. 1990 Conf. Inform. Sci., Syst. (Princeton, NJ), 1990.
22. J. L. Prince, “Cardiac motion estimation for MR image sequences,” in Proc. SPIE Int. Symp. Opt. and Optoelect. Appl. Sci. Eng.: Mathematical Imaging (Bellingham, WA), 1990.
23. J. L. Prince and E. R. McVeigh, “Optical flow for tagged MR images,” in Proc. IEEE Int. Conf. Acoust., Speech, Signal Processing (Toronto, Ont.), May 1991, pp. 2441–2444.
24. J. L. Prince and E. R. McVeigh, “Motion estimation from tagged MR image sequences,” IEEE Trans. Medical Imaging, vol. 11, no. 2, June 1992.
25. E. C. Hildreth, Measurement of Visual Motion. Cambridge, MA: MIT Press, 1984.
26. T. J. Broida and R. Chellappa, “Performance bounds for estimating three-dimensional motion parameters from a sequence of noisy images,” J. Opt. Soc. Am., vol. 6, no. 6, pp. 879–889, June 1989.
27. J. K. Kearney and W. B. Thompson, “Gradient-based estimation of optical flow with global optimization.” in Proc. First Conf. Artificial Intell. Applicat., (Denver, CO), 1984, pp. 376–380.
28. 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. PAMI-9, no. 2, pp. 229–244, Mar. 1987.
29. E. P. Simoncelli, E. H. Adelson, and D. J. Heeger, “Probability distributions of optical flow,” in Proc. IEEE Conf. Comput. Vision, Pattern Recognition (Lahaina, Maui, Hawaii), vol. CVPR-91, June 1991, pp. 310–315.
30. T. M. Chin, “Dynamic estimation in computational vision,” Ph.D. dissertation, M.I.T., Cambridge, MA, 1991.
31. R. Rougee, B. C. Levy, and A. S. Willsky, “Optic flow estimation inside a bounded domain,” M.I.T. Laboratory for Information and Decision Systems, Cambridge, MA, Tech. Rep. LIDS-P-1589, 1986.
32. A. Rougee, B. C. Levy, and A. S. Willsky, “Reconstruction of two-dimensional velocity-fields as a linear-estimation problem,” in First Int. Conf. Comput. Vision (London, England), pp. 646–650, June 1987.
33. T. S. Denney Jr. and J. L. Prince, “On optimal brightness functions for optical flow,” in Proc. IEEE Int. Conf. Acoust., Speech, Signal Processing (San Francisco, CA), pp. 257–260, May 1992.
34. M. E. Gurtin, Intro. Continuum Mechanics. New York: Academic Press, 1981.
35. R. L. Burden and J. D. Faires, Numerical Analysis, 3rd ed. Boston, MA: PWS, 1985.
36. M. B. Adams, A. S. Willsky, and B. C. Levy, “Linear estimation of boundary value stochastic processes—pt. I: the role and construction of complementary models,” IEEE Trans. Automat. Contr., vol. AC-29, no. 9, pp. 803–810, Sept. 1984.
37. B. C. Levy, M. B. Adams, and A. S. Willsky, “Solution of linear estimation of 2-D nearest neighbor models,” Proc. IEEE, vol. 78, no. 4, Apr. 1990, pp. 627–641.
38. T. Kailath Lectures on Weiner and Kalman Filtering, 2nd ed. New York: Springer-Verlag, 1981.
39. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes in C. New York: Cambridge, 1988.
40. C.-C. J. Kuo, B. C. Levy, and B. R. Musicus, “A local relaxation method for solving elliptic PDEs on mesh-connected arrays,” SIAM J. Sci. Stat. Comput., vol. 8, no. 4, pp. 550–573, 1987.
41. R. A. Horn and C. R. Johnson, Matrix Analysis. New York: Cambridge, 1990.