The use of optical flow for the analysis of non-rigid motions

International Journal of Computer Vision

Volumn 18, Issue 3, 1996, Pages 255-279

  Giachetti, Andrea ^a   Torre, Vincent ^a  

^a UNIVERSITY OF GENOA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; OPTICAL FLOWS; THREE DIMENSIONAL; VECTORS;

IMAGE SEQUENCES; LINEAR DEFORMATION; NORMAL ROTOTRANSLATION; TWO DIMENSIONAL MOTION FIELD;

IMAGE ANALYSIS;

EID: 0030170440     PISSN: 09205691     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00123144     Document Type: Article

References (32)

1. Amartur, S.C. and Vesselle, H.J. 1993. A new approach to study cardiac motion: The optical flow of cine MR images. Nuclear Magnetic Resonance in Medicine, 12:59-67.
2. Aicardi, F. and Verri, A. 1990. Limit cycles of the two-dimensional motion field. Biol. Cybern, 64:141-144.
3. Barron, J.L., Fleet, D.J., and Beauchemin, S.S. 1994. Performance of optical flow techniques. Int. Journal of Computer Vision, 12(1):43-77.
4. Bergholm, F. and Carlsson, S. 1991. A "Theory" of optical flow. Comput. Vis. Graph. Image Proc.: Image Understanding, 53(2):171-188
5. Campani, M. and Verri, A. 1992. Motion analysis from first order properties of optical flow. Comput. Vis. Graph. Image Proc.: Image Understanding, 56(1):90-107.
6. De Micheli, E., Uras, S., and Torre, V. 1993. The accuracy of the computation of optical flow and of the recovery of motion parameters. IEEE Trans. Patt. Anal. Machine Intell., 15(5):434-447.
7. Fennema, C.L. and Thompson, W.B. 1979. Velocity determination in scenes containing several moving objects. Comput. Vis. Graph. Image Proc., vol. 9, pp. 301-315.
8. Ford, R.M., Strickland, R.N. and Thomas, B.A. 1994 Image models for 2-D flow visualization and compression. CVGIP: GMIP, 56(1):75-93
9. Francois, E. and Bouthemy, P. 1990. The derivation of qualitative information in motion analysis. Image Vis. Comput. J., 8:279-287.
10. Gallione, A., Mc Dougull, A., Busa, W.B., Willmott, N., Cillot, I., and Whitaker, M. 1993. Redundant mechanisms of calcium-induced calcium release underlying calcium waves during fertilization of sea urchin eggs. Science, 261:348-250.
11. Gibson, J.J. 1950. The Perception of the Visual World. Houghton Mifflin: Boston.
12. Helmholtz, H. 1858. Uber Integrale der hydrodynamischen Gleichungen welche den Wirbelwegungen entsprechen. Crelles J., 55:25.
13. Hildreth, E.C. 1984. The computation of the velocity field. Proc. R. Soc. London B, vol. 221, pp. 189-220.
14. Hirsch, M.W. and Smale, S. 1974. Differential Equations, Dynamical Systems, and Linear Algebra. Academic Press: New York.
15. Horn, B.K.P. and Schunck, B.G. 1981. Determining optical flow. Artif. Intell., 17:185-203.
16. Jasinschi, R. and Yuille, A. 1989. Nonrigid motion and Regge calculus. J. Opt. Soc. Amer. A, 6(7): 1085-1095.
17. Koenderink, J.J. and van Doom, A.J. 1986. Depth and shape from differential perspective in the presence of bending deformations. J. Opt. Soc. Amer. A, 3(2):242-249.
18. Lichtenberg, A.J. and Lieberman, M.A. 1992. Regular and Chaotic Dynamics. Springer Verlag.
19. Longuet-Higgins, H.C. 1984. The visual ambiguity of a moving plane. Proc. R. Soc. London B, Vol. 223, pp. 165-175.
20. Nagel, H.H. 1983. Displacement vectors derived from 2nd order intensity variations in image sequences. Comput. Vision Graph. Image Process, 21:85-117.
21. Otte, M. and Nagel, H.H. 1994. Optical flow estimation: Advances and comparisons. Proc. Third Europ. Conf. on Comp. Vision Stockholm, Sweden, Vol. 1, pp. 51-60.
22. Penna, M.A. 1992. Non-rigid motion analysis: Isometric motion. Comput. Vis. Graph. Image Proc.: Image Understanding, 56(3):366-381.
23. Rao, A. R. and Jain, R.C. 1992. Computer flow field analysis: Oriented texture fields. IEEE Trans. Pattern Anal. Machine Intell., 14(7):693-706.
24. Shu, C. and Jain, R.C. 1993. Direct estimation and error analysis for oriented patterns. CVGIP: Image Understanding, 58:383-398
25. Shulman, D. and Aloimonos, J.Y. 1988. (Non-)rigid motion interpretation: A regularized approach. Proc. Royal Soc. of London B, Vol. 233, pp. 217-234.
26. Sommerfeld, A. 1974. Mechanics of Deformable Bodies. Academic Press: New York, USA.
27. Subbarao, M. 1989. Interpretation of image flow: A spatio-temporal approach. IEEE Trans. Patt. Anal. Machine Intell., 3:266-278.
28. Ullman, S. 1984. Maximizing rigidity: The incremental recovery of 3D structure from rigid and nonrigid motion. Perception, 13:255-274.
29. Verri, A., Girosi, F., and Torre, V. 1989. Mathematical properties of the two-dimensional motion field: From singular points to motion parameters. J. Opt. Soc. Am. A, 6:698-712.
30. Verri, A. and Poggio, T. 1989. Motion field and optical flow: Qualitative properties. IEEE Trans. Pattern Anal. Machine Intell., 11:490-498.
31. Wohn, K. and Waxman, A.M. 1990. The analytic structure of image flows: Deformation and segmentation. CVGIP, 49:127-151.
32. Yakamoto, M., Boulanger, P., Beraldin, J.A., and Rioux, M. 1993. Direct estimation of range flow on deformable shape from a video rate range camera. IEEE Trans. on PAMI, 15(1):82-89.