Skip to main content

Stereoscopic PIV

  • Chapter
  • First Online:
Book cover Particle Image Velocimetry

Abstract

By extending the “classical” single camera PIV implementation with a second camera the planar light sheet can be imaged stereoscopically from two directions allowing the recovery of the velocity vector normal to the light sheet. This chapter on stereo-PIV introduces two primary implementations of stereoscopic imaging along with the concept of Scheimpflug imaging of obliquely viewed light sheet planes. The stereoscopic reconstruction can follow a variety of approaches but collectively rely on some sort of calibration to recover 3-C velocity data from two separate 2-C vector maps. The error introduced through camera misalignment is discussed along with possible mitigation strategies. The application of the stereo-PIV technique in environments with index-of-refraction changes such as in water facilities requires specific imaging arrangements. The chapter closes with a list of recommendations for successful implementation of the stereo-PIV technique.

An overview of the Digital Content to this chapter can be found at [DC8.1].

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 149.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 329.99
Price excludes VAT (USA)
  • Durable hardcover 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

References

  1. Abdel-Aziz, Y.I., Karara, H.M.: Direct linear transformation from comparator coordinates into object space coordinates in close-range photogrammetry. In: Symposium on Close-Range Photogrammetry. Falls Church, VA (U.S.A.), pp. 1–18. American Society for Photogrammetry and Remote Sensing (1971). DOI 10.14358/PERS.81.2.103. URL https://doi.org/10.14358/PERS.81.2.103

  2. Arroyo, M.P., Greated, C.A.: Stereoscopic particle image velocimetry. Meas. Sci. Technol. 2(12), 1181 (1991). DOI 10.1088/0957-0233/2/12/012. URL http://stacks.iop.org/0957-0233/2/i=12/a=012

  3. Coudert, S.J.M., Schon, J.P.: Back-projection algorithm with misalignment corrections for 2D3C stereoscopic PIV. Meas. Sci. Technol. 12(9), 1371 (2001). DOI 10.1088/0957-0233/12/9/301. URL http://stacks.iop.org/0957-0233/12/i=9/a=301

  4. Ehrenfried, K.: Processing calibration-grid images using the Hough transformation. Meas. Sci. Technol. 13(7), 975 (2002). DOI 10.1088/0957-0233/13/7/303. URL http://stacks.iop.org/0957-0233/13/i=7/a=303

  5. Elsinga, G.E., Scarano, F., Wieneke, B., van Oudheusden, B.W.: Tomographic particle image velocimetry. Exp. Fluids 41(6), 933–947 (2006). DOI 10.1007/s00348-006-0212-z. URL http://dx.doi.org/10.1007/s00348-006-0212-z

  6. Faugeras, O.D., Toscani, G.: Camera calibration for 3D computer vision. In: Proceedings of International Workshop on Machine Vision and Machine Intelligence, Tokyo, Japan (1987)

    Google Scholar 

  7. Fournel, T., Lavest, J.M., Coudert, S., Collange, F.: Self-calibration of PIV video-cameras in Scheimpflug condition. In: Stanislas, M., Westerweel, J., Kompenhans, J. (eds.) Particle Image Velocimetry: Recent Improvements, pp. 391–405. Springer, Berlin (2004). DOI 10.1007/978-3-642-18795-7_28. URL https://doi.org/10.1007/978-3-642-18795-7_28

  8. Gauthier, V., Riethmuller, M.L.: Application of PIDV to complex flows: Measurement of the third component. In: Particle Image Displacement Velocimetry, von Karman Institute for Fluid Dynamics Lecture Series 1988-06. Von Karman Institute, Rhode-Saint-Genèse, Belgium (1988)

    Google Scholar 

  9. Gaydon, M., Raffel, M., Willert, C.E., Rosengarten, M., Kompenhans, J.: Hybrid stereoscopic particle image velocimetry. Exp. Fluids 23(4), 331–334 (1997). DOI 10.1007/s003480050118. URL http://dx.doi.org/10.1007/s003480050118

  10. Hartley, R., Zisserman, A.: Multiple View Geometry in Computer Vision, 2nd edn. Cambridge University Press, UK (2004). DOI 10.1017/CBO9780511811685. URL https://doi.org/10.1017/CBO9780511811685

  11. Hinsch, K.D.: Three-dimensional particle velocimetry. Meas. Sci. Technol. 6(6), 742 (1995). DOI 10.1088/0957-0233/6/6/012. URL https://dx.doi.org/10.1088/0957-0233/6/6/012

  12. Jähne, B.: Digital Image Processing and Image Formation, 7th edn. Springer, Berlin (2018). URL http://www.springer.com/us/book/9783642049491

  13. Kähler, C.J.: The significance of coherent flow structures for the turbulent mixing in wall-bounded flows. Ph.D. thesis, Georg-August-University zu Göttingen (Germany) (2004). URL http://hdl.handle.net/11858/00-1735-0000-0006-B4C8-8. DLR-FB-2004-24

  14. Kähler, C.J., Kompenhans, J.: Fundamentals of multiple plane stereo particle image velocimetry. Exp. Fluids 29(1), S070–S077 (2000). DOI 10.1007/s003480070009. URL http://dx.doi.org/10.1007/s003480070009

  15. Kähler, C.J., Adrian, R.J., Willert, C.E.: Turbulent boundary layer investigations with conventional and stereoscopic particle image velocimetry. In: 9th International Symposium on Applications of Laser Techniques to Fluid Mechanics, Lisbon. Portugal (1998)

    Google Scholar 

  16. Kent, J.C., Eaton, A.R.: Stereo photography of neutral density He-filled bubbles for 3-D fluid motion studies in an engine cylinder. Appl. Opt. 21(5), 904–912 (1982). DOI 10.1364/AO.21.000904. URL http://ao.osa.org/abstract.cfm?URI=ao-21-5-904

  17. Klein, F.: Elementarmathematik vom höheren Standpunkt aus, Zweiter Band: Geometrie. Springer, Berlin (1968)

    Book  Google Scholar 

  18. Lindken, R., Westerweel, J., Wieneke, B.: Stereoscopic micro particle image velocimetry. Exp. Fluids 41(2), 161–171 (2006). DOI 10.1007/s00348-006-0154-5. URL http://dx.doi.org/10.1007/s00348-006-0154-5

  19. Prasad, A.K.: Stereoscopic particle image velocimetry. Exp. Fluids 29(2), 103–116 (2000). DOI 10.1007/s003480000143. URL http://dx.doi.org/10.1007/s003480000143

  20. Prasad, A.K., Adrian, R.J.: Stereoscopic particle image velocimetry applied to liquid flows. Exp. Fluids 15(1), 49–60 (1993). DOI 10.1007/BF00195595. URL http://dx.doi.org/10.1007/BF00195595

  21. Prasad, A.K., Jensen, K.: Scheimpflug stereocamera for particle image velocimetry in liquid flows. Appl. Opt. 34(30), 7092–7099 (1995). DOI 10.1364/AO.34.007092. URL http://ao.osa.org/abstract.cfm?URI=ao-34-30-7092

  22. Pratt, W.: Digital Image Processing: PIKS Scientific Inside, 4th edn. Wiley-Interscience, Wiley, New York (2007). DOI 10.1002/0470097434. URL https://doi.org/10.1002/0470097434

  23. Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P.: Numerical Recipes: The Art of Scientific Computing, 3rd edn. Cambridge University Press, New York, USA (2007). URL http://numerical.recipes/

  24. Royer, H., Stanislas, M.: Stereoscopic and holographic approaches to get the third velocity component in PIV. Particle Image Velocimetry. von Karman Institute for Fluid Dynamics Lecture Series 1996–03, pp. I1–I56. Von Karman Institute, Rhode-Saint-Genèse, Belgium (1996)

    Google Scholar 

  25. Scheimpflug, T.: Improved method and apparatus for the systematic alteration or distortion of plane pictures and images by means of lenses and mirrors for photography and for other purposes (1904). British Patent No. 1196

    Google Scholar 

  26. Sinha, S.K.: Improving the accuracy and resolution of particle image or laser speckle velocimetry. Exp. Fluids 6(1), 67–68 (1988). DOI 10.1007/BF00226137. URL http://dx.doi.org/10.1007/BF00226137

  27. Soloff, S.M., Adrian, R.J., Liu, Z.C.: Distortion compensation for generalized stereoscopic particle image velocimetry. Meas. Sci. Technol. 8(12), 1441 (1997). DOI 10.1088/0957-0233/8/12/008. URL http://dx.doi.org/10.1088/0957-0233/8/12/008

  28. Tsai, R.Y.: A versatile camera calibration technique for high-accuracy 3D machine vision metrology using off-the-shelf TV cameras and lenses. IEEE J. Robot. Autom. 3(4), 323–344 (1987). DOI 10.1109/JRA.1987.1087109. URL http://dx.doi.org/10.1109/JRA.1987.1087109

  29. van Doorne, C.W.H.: Stereoscopic PIV on transition in pipe flow. Ph.D. thesis, Delft University of Technology (2004)

    Google Scholar 

  30. van Doorne, C.W.H., Westerweel, J.: Measurement of laminar, transitional and turbulent pipe flow using stereoscopic-PIV. Exp. Fluids 42(2), 259–279 (2007). DOI 10.1007/s00348-006-0235-5. URL http://dx.doi.org/10.1007/s00348-006-0235-5

  31. van Oord, J.: The design of a stereoscopic DPIV-system. Delft University of Technology, Delft (the Netherlands), Technical report (1997)

    Google Scholar 

  32. Wieneke, B.: Stereo-PIV using self-calibration on particle images. Exp. Fluids 39(2), 267–280 (2005). DOI 10.1007/s00348-005-0962-z. URL https://dx.doi.org/10.1007/s00348-005-0962-z

  33. Westerweel, J., Nieuwstadt, F.T.M.: Performance tests on 3-dimensional velocity measurements with a two-camera digital particle-image velocimeter. In: Dybbs, A., Ghorashi, B. (eds.) Laser Anemometry - Advances and Applications 1991, vol. 1, pp. 349–355 (1991)

    Google Scholar 

  34. Willert, C.E.: Stereoscopic digital particle image velocimetry for application in wind-tunnel flows. Meas. Sci. Technol. 8, 1465–1479 (1997). DOI 10.1088/0957-0233/8/12/010. URL http://stacks.iop.org/0957-0233/8/i=12/a=010

  35. Willert, C.E.: Assessment of camera models for use in planar velocimetry calibration. Exp. Fluids 41(1), 135–143 (2006). DOI 10.1007/s00348-006-0165-2. URL https://dx.doi.org/10.1007/s00348-006-0165-2

  36. Zhang, Z.: A flexible new technique for camera calibration. IEEE Trans. Pattern Anal. Mach. Intell. 22(11), 1330–1334 (2000). DOI 10.1109/34.888718. URL http://dx.doi.org/10.1109/34.888718

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Markus Raffel .

Rights and permissions

Reprints and permissions

Copyright information

© 2018 Springer International Publishing AG, part of Springer Nature

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Raffel, M., Willert, C.E., Scarano, F., Kähler, C.J., Wereley, S.T., Kompenhans, J. (2018). Stereoscopic PIV. In: Particle Image Velocimetry. Springer, Cham. https://doi.org/10.1007/978-3-319-68852-7_8

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-68852-7_8

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-68851-0

  • Online ISBN: 978-3-319-68852-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics