Skip to main content
Log in

An evaluation of optical flow algorithms for background oriented schlieren imaging

  • Research Article
  • Published:
Experiments in Fluids Aims and scope Submit manuscript

Abstract

The background oriented schlieren method (BOS) allows for accurate flow measurements with a simple experimental configuration. To estimate per-pixel displacement vectors between two images, BOS systems traditionally borrow window-based algorithms from particle image velocimetry. In this paper, we evaluate the performance of more recent optical flow methods in BOS settings. We also analyze the impact of different background patterns, suggesting the use of a pattern with detail at many scales. Experiments with both synthetic and real datasets show that the performance of BOS systems can be significantly improved through a combination of optical flow algorithms and multiscale background.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

References

  • Adelson E, Anderson C, Bergen J, Burt P, Ogden J (1984) Pyramid methods in image processing. RCA Eng 29(6):33–41

    Google Scholar 

  • Anandan P (1989) A computational framework and an algorithm for the measurement of visual motion. IJCV 2(3):283–310

    Article  Google Scholar 

  • Atcheson B, Ihrke I, Heidrich W, Tevs A, Bradley D, Magnor M, Seidel HP (2008) Time-resolved 3D capture of non-stationary gas flows. ACM Trans Graph 27(5):132:1–132:9

    Google Scholar 

  • Barron J, Fleet D, Beauchemin S (1994) Performance of optical flow techniques. IJCV 12(1):43–77

    Article  Google Scholar 

  • Bridson R, Houriham J, Nordenstam M (2007) Curl-noise for procedural fluid flow. ACM Trans Graph 26(3):46:1–3

    Article  Google Scholar 

  • Brox T, Bruhn A, Papenberg N, Weickert J (2004) High accuracy optical flow estimation based on a theory for warping. In: Proceedings of the 8th ECCV, Prague, Czech Republic, pp 25–36

  • Cabral B, Leedom LC (1993) Imaging vector fields using line integral convolution. In: SIGGRAPH ’93: Proceedings of the 20th annual conference on computer Graphics and Interactive Techniques, ACM, New York, pp 263–270

  • Cook R, DeRose T (2005) Wavelet noise. ACM Trans Graph 24(3):803–811

    Article  Google Scholar 

  • Corpetti T, Heitz D, Arroyo G, Mémin E, Santa-Cruz A (2006) Fluid experimental flow estimation based on an optical-flow scheme. Exp Fluids 40(1):80–97

    Article  Google Scholar 

  • Davies E (2004) Machine vision: theory, algorithms, practicalities, chap 18.2. Morgan Kaufmann, San Francisco, pp 505–509

  • Elsinga G, van Oudheusden B, Scarano F, Watt D (2004) Assessment and application of quantitative schlieren methods: calibrated color schlieren and background oriented schlieren. Exp Fluids 36(2):309–325

    Article  Google Scholar 

  • Goldhahn E, Seume J (2007) The background oriented schlieren technique: sensitivity, accuracy, resolution and application to a three-dimensional density field. Exp Fluids 43(2–3):241–249

    Article  Google Scholar 

  • Horn B, Schunck B (1981) Determining optical flow. Artif Intell 17:185–203

    Article  Google Scholar 

  • Jensen O, Kunsch J, Rösgen T (2005) Optical density and velocity measurements in cryogenic gas flows. Exp Fluids 39(1):48–55

    Article  Google Scholar 

  • Kindler K, Goldhahn E, Leopold F, Raffel M (2007) Recent developments in background oriented schlieren methods for rotor blade tip vortex measurements. Exp Fluids 43(2–3):233–240

    Article  Google Scholar 

  • Lucas B, Kanade T (1981) An iterative image registration technique with an application to stereo vision. In: Proceedings of the 7th international joint conference on artificial intelligence, Vancouver, Canada, pp 674–679

  • Meier G (2002) Computerized background-oriented schlieren. Exp Fluids 33(1):181–187

    Google Scholar 

  • Papenberg N, Bruhn A, Brox T, Didas S, Weickert J (2006) Highly accurate optic flow computation with theoretically justified warping. IJCV 67(2):141–158

    Article  Google Scholar 

  • Raffel M, Richard H, Meier G (2000) On the applicability of background oriented optical tomography for large scale aerodynamic investigations. Exp Fluids 28(5):477–481

    Article  Google Scholar 

  • Richard H, Raffel M (2001) Principle and applications of the background oriented schlieren (BOS) method. Meas Sci Technol 12(9):1576–1585

    Article  Google Scholar 

  • Ruhnau P, Schnörr C (2007) Optical stokes flow estimation: an imaging-based control approach. Exp Fluids 42(1):61–78

    Article  Google Scholar 

  • Ruhnau P, Kohlberger T, Schnörr C, Nobach H (2005) Variational optical flow estimation for particle image velocimetry. Exp Fluids 38(1):21–32

    Article  Google Scholar 

  • Scarano F (2002) Iterative image deformation methods in PIV. Meas Sci Tech 13(1):R1–R19

    Article  Google Scholar 

  • Scarano F, Riethmuller M (1999) Iterative multigrid approach in PIV processing with discrete window offset. Exp Fluids 26(6):513–523

    Article  Google Scholar 

  • Sveen J (2004) An introduction to MatPIV v.1.6.1. Eprint no. 2, ISSN 0809-4403, Department of Mathematics, University of Oslo, http://www.math.uio.no/~jks/matpiv

  • Venkatakrishnan L, Meier G (2004) Density measurements using the background oriented schlieren technique. Exp Fluids 37(2):237–247

    Article  Google Scholar 

  • Westerweel J (1997) Fundamentals of digital particle image velocimetry. Meas Sci Tech 8(12):1379–1392

    Article  Google Scholar 

  • Westerweel J (2000) Theoretical analysis of the measurement precision in particle image velocimetry. Exp Fluids 29(7):S003–S012

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bradley Atcheson.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Atcheson, B., Heidrich, W. & Ihrke, I. An evaluation of optical flow algorithms for background oriented schlieren imaging. Exp Fluids 46, 467–476 (2009). https://doi.org/10.1007/s00348-008-0572-7

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00348-008-0572-7

Keywords

Navigation