Skip to main content

A Higher-Order Model for Fluid Motion Estimation

  • Conference paper

Part of the book series: Lecture Notes in Computer Science ((LNIP,volume 6753))

Abstract

Image-based fluid motion estimation is of interest to science and engineering. Flow-estimation methods often rely on physics-based or spline-based parametric models, as well as on smoothing regularizers. The calculation of physics models can be involved, and commonly used 2nd-order regularizers can be biased towards lower-order flow fields. In this paper, we propose a local parametric model based on a linear combination of complex-domain basis flows, and a resulting global field that is produced by blending together local models using partition-of-unity. We show that the global field can be regularized to an arbitrary order without bias towards specific flows. Additionally, the blending approach to fluid-motion estimation is more flexible than competing spline-based methods. We obtained promising results on both synthetic and real fluid data.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Carlier, J.: Second set of fluid mechanics image sequences. European Project ’Fluid image analysis and description’, FLUID (2005), http://www.fluid.irisa.fr/

  2. Corpetti, T., Memin, E., Prez, P.: Dense estimation of fluid flows. IEEE Trans. Patt. Anal. and Mach. Intel. 24(3), 365–380 (2002)

    Article  Google Scholar 

  3. Cuzol, A., Hellier, P., Memin, E.: A low dimensional fluid motion estimator. International Journal of Computer Vision 75(3), 329–349 (2007)

    Article  Google Scholar 

  4. Davies, B.: Integral Transforms and Their Applications. Springer, Heidelberg (2002)

    Book  MATH  Google Scholar 

  5. Heitz, D., Memin, E., Schnorr, C.: Variational fluid flow measurements from image sequences: synopsis and perspectives. Experiments in Fluids 48(3), 369–393 (2009)

    Article  Google Scholar 

  6. Horn, B., Schunck, B.: Determining optical flow. Artificial Intelligence 17(1-3), 185–203 (1981)

    Article  Google Scholar 

  7. Isambert, T., Berroir, J.-P., Herlin, I.: A multi-scale vector spline method for estimating the fluids motion on satellite images. In: Forsyth, D., Torr, P., Zisserman, A. (eds.) ECCV 2008, Part IV. LNCS, vol. 5305, pp. 665–676. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  8. Liu, W., Ribeiro, E.: Scale and Rotation Invariant Detection of Singular Patterns in Vector Flow Fields. In: S-SSPR, pp. 522–531 (2010)

    Google Scholar 

  9. Lucas, B.D., Kanade, T.: An iterative image registration technique with an application to stereo vision. In: IJCAI, pp. 674–679 (1981)

    Google Scholar 

  10. Nir, T., Bruckstein, A.M., Kimmel, R.: Over-parameterized variational optical flow. Int. J. Comput. Vision 76(2), 205–216 (2008)

    Article  Google Scholar 

  11. Petrila, T., Trif, D.: Basics of fluid mechanics and introduction to computational fluid dynamics. Springer, Heidelberg (2005)

    MATH  Google Scholar 

  12. Suter, D.: Motion estimation and vector splines. In: CVPR, pp. 939–942 (2002)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Liu, W., Ribeiro, E. (2011). A Higher-Order Model for Fluid Motion Estimation. In: Kamel, M., Campilho, A. (eds) Image Analysis and Recognition. ICIAR 2011. Lecture Notes in Computer Science, vol 6753. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21593-3_33

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-21593-3_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21592-6

  • Online ISBN: 978-3-642-21593-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics