Skip to main content

Motion correspondence through energy minimization

  • Applications
  • Conference paper
  • First Online:
Energy Minimization Methods in Computer Vision and Pattern Recognition (EMMCVPR 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1223))

  • 140 Accesses

Abstract

The main aim of this work is to define a general algorithm to solve the well-known motion correspondence problem by minimizing an energy function where constraints leading to solution are defined. Starting from some approximated correspondences, estimated for features with high directional variance using radiometric similarity, optimal correspondence are obtained through an optimization technique. The new contribution of this work consists in the matching process based on refinement of raw measurements, in the energy function minimization technique converging to an optimal solution by taking advantage from some good initial guess, and in the applicability in a lot of contexts requiring motion correspondence just combining appropriate constraints functions. The approach has been tested in two common contexts: tracking of 3D coplanar points and passive navigation.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. L.Dreschler, H.Nagel ”Volumetric model and 3D trajectory of a moving car derived from monocular TV frame sequences of a street scene” Comput. Graphics Image Processing Vol 20 pp 199–228(1982).

    Google Scholar 

  2. F.Glazer, G.Reynolds, P.Anandan ”Scene matching by hierarchical correlation” Proc. IEEE Conf. Comput. Vision Patt. Recogn. (1983).

    Google Scholar 

  3. E.C.Hildreth The measurement of visual motion Cambridge MA:MIT Press (1983).

    Google Scholar 

  4. W.Hoff, N. Ahuja ”Surfaces from stereo: Integrating feature matching, disparity estimation, and contour detection” IEEE Transactions PAMI Vol 11 No 2 (1989).

    Google Scholar 

  5. J.Weng, N.Ahuja, T.S.Huang ”Matching two perspective views” IEEE Transaction PAMI Vol 14 No 8 (1992).

    Google Scholar 

  6. P.Fua, ”Combining Stereo and Monocular Information to Compute Dense Depth Maps that Preserve Depth Discontinuities”. In Proc. IJCAI91.

    Google Scholar 

  7. J.Martin and J.L.Crowley ”Comparison of Correlation techniques” Intelligent Autonomous Systems U.Rembold et al. (Eds.), IOS Press, 1995.

    Google Scholar 

  8. J.P.Pascual Starink, E. Backer Finding point correspondences using simulated annealing, Pattern Recognition, Vol.28,No.2,1995.

    Google Scholar 

  9. H.P.Moravec The Stanford Cart and the CMU Rover,Proc. IEEE,1983.

    Google Scholar 

  10. S. Ullman The Interpretation of Visual Motion, MIT Press,1979.

    Google Scholar 

  11. J. Clark and A. Yuille, Data Fusion for sensory information processing systems, Kluwer Academic Publishers, 1990

    Google Scholar 

  12. J.J.Lee,J.Chang,Y.Ho Ha, Stereo Correspondence using the Hopfield Neural Network of a new energy function, Pattern Recognition, Vol.27,No.11, 1994.

    Google Scholar 

  13. N. M. Nasrabadi, C.Y. Choo, Hopfield Network for Stereo Vision Correspondence, IEEE Trans. Neural Networks, Vol. 3, No. 1, pp. 5–13, 1992.

    Google Scholar 

  14. N.M. Nasrabadi and Y.Liu, ”Stereo vision correspondence using a multichannel graph matching technique” Image and Vision Computing vol. 7, no.4, pp. 237–245, Nov. 1989

    Google Scholar 

  15. N.M.Nasrabadi ”A stereo vision technique using curve-segments and relaxiation matching” IEEE Trans PAMI vol. 13, Nov. 1991.

    Google Scholar 

  16. A.Rosenfeld, R.Hummel, and S.Zucker ”Scene labeling by relaxtion operations” IEEE Trans. Syst., Man, Cybern. vol. SMC-6, pp 420–453, June 1976.

    Google Scholar 

  17. S.Barnard and W.Thompson ”Disparity analysis of images” IEEE trans. PAMI vol. 2, pp 333–340, July 1980.

    Google Scholar 

  18. J.Hopfield and D.W.Tank, ” Neural computation of decisions in the optimization problems” Biol Cybern. vol. 52, pp 141–152, 1985.

    PubMed  Google Scholar 

  19. S.Krikpatrick, C.D.Gellatt, Jr., and M.P.Vecchi, ”Optimization by simulated anealling” Science vol. 220, no.4598, pp. 671–680, May 1983.

    Google Scholar 

  20. O.Axelsson and V.A.Barker Finite Element Solution of Boundary Value Problems: Theory and Computation, Academic Press, 1984.

    Google Scholar 

  21. A.Blake and A.Zisserman Visual Reconstruction, MIT Press, 1987.

    Google Scholar 

  22. Y.T.Zhou, R. Chellappa, A Neural Network for Motion Processing, In Neural Network Perception, Vol. 1, Academic Press, 1992.

    Google Scholar 

  23. M.S.Mousavi, R. J. Schalkoff, ANN Implementation od Stereo Vision Using a Multi-layer Feedback Architecture, IEEE trans. on Neural Network, Vol.24,No.8,1994.

    Google Scholar 

  24. J.M.Cruz,G.Pajares,J.Aranda, A neural network Model in stereovision Matching, Neural Networks,Vol.8,No.5,1995.

    Google Scholar 

  25. B.W.Lee and B.J.Sheu ”Combinatorial Optimization Using Competitive-Hopfield Neural Network”

    Google Scholar 

  26. D.R.Uecker and H.Sakou ”Point pattern matching using a Hopfield-type Neural Network”

    Google Scholar 

  27. P.Gurdjos, P.Dalle, S.Castane ”Tracking 3D Coplanar Points in the Invariant Perspective Coordinates Plane” Proc. of ICPR '96 Vienna 1996.

    Google Scholar 

  28. O.Faugeras Three Dimensional Computer Vision MIT Press, Cambridge, MA, 1992.

    Google Scholar 

  29. A.Branca, E.Stella, A.Distante ”Feature Matching by Optimization using Environmental Constraints ” Proc. of Time Varying Image Processing and Object Recognition Firenze 1996.

    Google Scholar 

  30. A.Branca, E.Stella, G.Attolico, A.Distante ”Stereo Matching by optimization using weak environmental constraints” Proc. of SPIE96 Boston 1996.

    Google Scholar 

  31. A.Branca, E.Stella, A.Distante ”Passive Navigation using Focus of Expansion” Proc. of Workshop on applications of computer vision Sarasota 1996.

    Google Scholar 

  32. A.Branca, G.Cicirelli, E.Stella, A.Distante ”Mobile Vehicle's Egomotion Estimation from Time Varying Image Sequences ” Proc. of ICRA97 New Mexico 1996 (submitted).

    Google Scholar 

  33. R.C.Nelson, J.Aloimonos, Obstacle Avoidance Using Flow Field Divergence, IEEE Trans. on Patt. Anal. and Mach. Intell., VOL.11, NO. 10. Oct. '89.

    Google Scholar 

  34. C.Fermuller Passive Navigation Int. Journal of Computer Vision, 14(2):147–158, March 1995.

    Google Scholar 

  35. C.Fermuller Qualitative egomotion Int. Journal of Computer Vision, 15(1/2):7–29, 1995.

    Google Scholar 

  36. W.Burger, B.Bhanu, Estimating 3D Egomotion from Perspective Image Sequences, IEEE Trans. on PAMI, Vol. 12, No. 18,pp. 1040–1058, Nov. 1990.

    Google Scholar 

  37. E.De Micheli, V.Torre, S.Uras, The accuracy of the computation of optical flow and of the recovery of motion parameters, III Trans. on Patt. Anal. and Mach. Intell.,vol. 15, n.5, May '93.

    Google Scholar 

  38. R.Hummel, V.Sundareswaran Motion Parameter Estimation from Global Flow Field Data, IEEE Trans. on Patt. Anal. and Mach. Intell., vol.15, no.5, May '93.

    Google Scholar 

  39. F.G.Meyer, Time to collision from first-order models of the motion field, IEEE Trans. on Rob. and Autom., VOL.10, NO. 6, Dec. '94

    Google Scholar 

  40. K.Prazdny, Determining the Instantaneous Direction of Mo tion from Optical Flow Generated by a Curvilinearly Moving Observer, CGIP, Vol. 17, pp. 238–248, 1981.

    Google Scholar 

  41. Y.Ohta and T.Kanade, ”Stereo by Intr-and Inter-Scanline Search. IEEE Trans. on Pat. Anal, and Mach. Intell., 7, No.2:139–154, 1985.

    Google Scholar 

  42. A.Meygret, M.Thonnat, and M.Berthold, ”A pyramidal Stereovision Algorithm Based on Contour Chain points”. In Proc. European Conf. on Comp. Vision Antibes, France, April 1990. Springer-Verlag.

    Google Scholar 

  43. L.Robert and O.D.Faugeras ”Curve-based Stereo: Figural Continuity and Curvature” In CVPR91, 57–62.

    Google Scholar 

  44. N.Ayache and B.Faverjon, ”Efficient Registration of Stereo Images by Matching Graph. Descriptions of Edges Segments” The Int. Journal of Comp. Vision 1(2):107–131, April 1987.

    Article  Google Scholar 

  45. D.Marr, T.Poggio, ”A computational theory of human stereo vision”, Proc. of Royal Society of London B, Vol.204.

    Google Scholar 

  46. N.Ayache, ”Artificial Vision for Mobile Robots”,MIT Press, 1991

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Marcello Pelillo Edwin R. Hancock

Rights and permissions

Reprints and permissions

Copyright information

© 1997 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Branca, A., Stella, E., Distante, A. (1997). Motion correspondence through energy minimization. In: Pelillo, M., Hancock, E.R. (eds) Energy Minimization Methods in Computer Vision and Pattern Recognition. EMMCVPR 1997. Lecture Notes in Computer Science, vol 1223. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-62909-2_102

Download citation

  • DOI: https://doi.org/10.1007/3-540-62909-2_102

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62909-2

  • Online ISBN: 978-3-540-69042-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics