Skip to main content

A Variational Approach for Multi-valued Velocity Field Estimation in Transparent Sequences

  • Conference paper
Scale Space and Variational Methods in Computer Vision (SSVM 2007)

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 4485))

Abstract

We propose a variational approach for multi-valued velocity field estimation in transparent sequences. Starting from existing local motion estimators, we show a variational model for integrating in space and time these local estimations to obtain a robust estimation of the multi-valued velocity field. With this approach, we can indeed estimate some multi-valued velocity fields which are not necessarily piecewise constant on a layer: Each layer can evolve according to non-parametric optical flow. We show how our approach outperforms some existing approaches, and we illustrate its capabilities on several challenging synthetic/real sequences.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Oppenheim, A.V.: Superpostion in a class of nonlinear systems. In: IEEE International Convention, New York, USA, pp. 171–177 (1964)

    Google Scholar 

  2. Bergen, J., et al.: Computing two motions from three frames. In: ICCV 90, Osaka, Japan, December 1990, pp. 27–32 (1990)

    Google Scholar 

  3. Burt, P., Hingorani, R., Kolczynski, R.: Mechanisms for isolating component patterns in the sequential analysis of multiple motion. In: IEEE Workshop on Visual Motion, Princeton, NJ, October 1991, pp. 187–193 (1991)

    Google Scholar 

  4. Irani, M., Peleg, S.: Motion analysis for image enhancement: resolution, occlusion, and transparency. Journal on Visual Communications and Image Representation 4(4), 324–335 (1993)

    Article  Google Scholar 

  5. Irani, M., Rousso, B., Peleg, S.: Computing occluding and transparent motions. IJCV 12(1), 5–16 (1994)

    Article  Google Scholar 

  6. Shizawa, M., Mase, K.: Simultaneous multiple optical flow estimation. In: ICPR 90, vol. 1, pp. 274–278 (1990)

    Google Scholar 

  7. Shizawa, M., Mase, K.: Principle of superposition: a common computational framework for analysis of multiple motion. In: IEEE Workshop on Visual Motion, pp. 164–172 (1991)

    Google Scholar 

  8. Shizawa, M., Mase, K.: A unified computational theory for motion transparency and motion boundaries based on eigenergy analysis. In: CVPR 91, pp. 289–295 (1991)

    Google Scholar 

  9. Liu, H., et al.: Spatio-temporal filters for transparent motion segmentation. In: ICIP 95, pp. 464–468 (1995)

    Google Scholar 

  10. Darrell, T., Simoncelli, E.: Separation of transparent motion into layers using velocity-tuned mechanisms. In: MIT Media Laboratory Vision and Modeling Group Technical Report. Number 244 (1993)

    Google Scholar 

  11. Mota, C., et al.: Divide-and-Conquer strategies for estimating multiple transparent motions. In: Jähne, B., et al. (eds.) IWCM 2004. LNCS, vol. 3417, pp. 66–78. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  12. Mühlich, M., Aach, T.: A Theory of Multiple Orientation Estimation. In: Leonardis, A., Bischof, H., Pinz, A. (eds.) ECCV 2006. LNCS, vol. 3952, pp. 69–82. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  13. Stuke, I., et al.: Estimation of multiple motions by block matching. In: 4th ACIS International Conference on Software Engineering, Artificial Intelligence, Networking and Parallel/Distributed Computing (SNPD 2003), pp. 358–362 (2003)

    Google Scholar 

  14. Stuke, I., et al.: Multiple-motion-estimation by block matching using MRF. ACIS, International Journal of Computer and Information Science (2004)

    Google Scholar 

  15. Auvray, V., Bouthemy, P., Lienard, J.: Motion estimation in x-ray image sequence with bi-distributed transparency. In: ICIP 06, Atlanta, USA (2006)

    Google Scholar 

  16. Fitzpatrick, J.: The existence of geometrical density-image transformations corresponding to object motion. CVGIP 44(2), 155–174 (1988)

    MathSciNet  Google Scholar 

  17. Black, M., Anandan, P.: The robust estimation of multiple motions: Parametric and piecewise-smooth flow fields. CVGIP: Image Understanding 63(1), 75–104 (1996)

    Google Scholar 

  18. Jepson, A., Black, M.: Mixture models for optical flow computation. In: CVPR 93, pp. 760–761 (1993)

    Google Scholar 

  19. Ju, S., Black, M., Jepson, A.: Skin and bones: Multi-layer, locally affine, optical flow and regularization with transparency. In: Proceedings of CVPR 96, San Francisco, CA, June 1996, pp. 307–314 (1996)

    Google Scholar 

  20. Black, M., Fleet, D., Yacoob, Y.: Robustly estimating changes in image appearance. Computer Vision and Image Understanding 78, 8–31 (2000)

    Article  Google Scholar 

  21. Weiss, Y., Adelson, E.: A unified mixture framework for motion segmentation: incorporating spatial coherence and estimating the number of models. In: CVPR 96, pp. 321–326 (1996)

    Google Scholar 

  22. Rivera, M., Ocegueda, O., Marroquin, J.L.: Entropy controlled gauss-markov random measure field models for early vision. In: Paragios, N., et al. (eds.) VLSM 2005. LNCS, vol. 3752, pp. 137–148. Springer, Heidelberg (2005)

    Chapter  Google Scholar 

  23. Ramirez-Manzanares, A., et al.: Multi-valued motion fields estimation for transparent sequences with a variational approach. Technical Report RR-5920, INRIA, (Also, Reporte Técnico CIMAT (CC)I-06-12) (June 2006)

    Google Scholar 

  24. Black, M., Rangarajan, P.: On the unification of line processes, outlier rejection, and robust statistics with applications in early vision. IJCV 19(1), 57–91 (1996)

    Article  Google Scholar 

  25. Ramirez-Manzanares, A., Rivera, M.: Brain nerve boundless estimation by restoring and filtering intra-voxel information in DT-MRI. In: VLSM 03, October 2003, pp. 71–80 (2003)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Fiorella Sgallari Almerico Murli Nikos Paragios

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer Berlin Heidelberg

About this paper

Cite this paper

Ramírez-Manzanares, A., Rivera, M., Kornprobst, P., Lauze, F. (2007). A Variational Approach for Multi-valued Velocity Field Estimation in Transparent Sequences. In: Sgallari, F., Murli, A., Paragios, N. (eds) Scale Space and Variational Methods in Computer Vision. SSVM 2007. Lecture Notes in Computer Science, vol 4485. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72823-8_20

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-72823-8_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72822-1

  • Online ISBN: 978-3-540-72823-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics