Applied Scientific Research

, Volume 49, Issue 3, pp 191–215 | Cite as

Theory of cross-correlation analysis of PIV images

  • Richard D. Keane
  • Ronald J. Adrian


To improve the performance of particle image velocimetry in measuring instantaneous velocity fields, direct cross-correlation of image fields can be used in place of auto-correlation methods of interrogation of double- or multiple-exposure recordings. With improved speed of photographic recording and increased resolution of video array detectors, cross-correlation methods of interrogation of successive single-exposure frames can be used to measure the separation of pairs of particle images between successive frames. By knowing the extent of image shifting used in a multiple-exposure and by a priori knowledge of the mean flow-field, the cross-correlation of different sized interrogation spots with known separation can be optimized in terms of spatial resolution, detection rate, accuracy and reliability.

For the direct cross-correlation method of single-exposure, double-frame systems which model video array detector interrogation and of double-exposure single-frame systems which generalize earlier direct auto-correlation methods of interrogation of photographic recordings, optimal system parameters are recommended for a range of velocity fields in order to eliminate signal bias and to minimize loss of signal strength. The signal bias resulting from velocity gradients in auto-correlation analysis can be eliminated in cross-correlation interrogation by appropriate choice of the optimal parameters. Resolution, detection rate, accuracy and reliability are compared with direct auto-correlation methods for double- and multiple-pulsed systems.

Key words

PIV cross-correlation auto-correlation 


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  1. 1.
    Adrian, R. J., Statistical properties of particle image velocimetry measurements in turbulent flow. Laser Anemometry in Fluid Mechanics, Vol. III. LADOAN Institute Superior Tecnico, Lisbon, Portugal (1988) pp. 115–129.Google Scholar
  2. 2.
    Adrian, R. J. and Zoltani, C., Measurement of particulate motion using a high resolution solid-state camera and high speed electro-optic double framing. Abstract ICALEO (1990).Google Scholar
  3. 3.
    Arroyo, M. P., Yonte, T., Quintanilla, M. and Savirón, J. M., Particle image velocimetry in Rayleigh-Bénard convection: Photographs with high number of exposures. Optics and Lasers in Engineering 9 (1988) 295–316.Google Scholar
  4. 4.
    Cenedese, A. and Paglialunga, A., Digital direct analysis of a multi-exposed photograph in PIV. Experiments in Fluids 8 (1990) 273–280.Google Scholar
  5. 5.
    Goss, L. P., Post, M. E., Trump, D. D. and Sarka, B., Two color particle velocimetry. Proc. ICALEO, LIA 68 (1989) pp. 101–111.Google Scholar
  6. 6.
    Keane, R. D. and Adrian, R. J., Optimization of particle image velocimeters. Part I: Double-pulsed systems. Measurement Science and Technology 1 (1990) 1202–1215.Google Scholar
  7. 7.
    Keane, R. D. and Adrian, R. J., Optimization of particle image velocimeters. Part II: Multiple-pulsed systems. Measurement Science and Technology 2 (1991) 963–974.Google Scholar
  8. 8.
    Keane, R. D., Adrian, R. J. and Ford, D. K., Single exposure double frame particle image velocimeters. Proc. ICALEO 72 (1990) 91–110.Google Scholar
  9. 9.
    Kimura, I. and Takamori, T., Image processing of flow around a circular cylinder by using correlation techniques. In: Veret, C. (ed.), Flow Visualization IV. Washington, D.C.: Hemisphere Publishing Corp (1986) pp. 221–226.Google Scholar
  10. 10.
    Lee, M. M., Hanratty, T. J. and Adrian, R. J., An axial viewing photographic technique to study turbulence characteristics of particles. Int. J. Multiphase Flow 15 (1989) 787–802.Google Scholar
  11. 11.
    Lourenco, L. M. and Krothapalli, A., The role of photographic parameters in laser speckle or particle image displacement velocimetry. Experiments in Fluids 5 (1987) 29–32.Google Scholar
  12. 12.
    Meynart, R., Simpkins, P. G. and Dudderar, T. D., Speckle measurements of convection in a liquid cooled from above. J. Fluid Mech 182 (1987) 235–254.Google Scholar
  13. 13.
    Prasad, A. K., Adrian, R. J., Landreth, C. C. and Offutt, P. W., Effect of resolution on the speed and accuracy of particle image velocimetry interrogation. Experiments in Fluids 13 (1992) 105–116.Google Scholar
  14. 14.
    Utami, T., Blackwelder, R. F. and Ueno, T., A cross-correlation technique for velocity field extraction from particulate visualization. Experiments in Fluids 10 (1991) 213–223.Google Scholar
  15. 15.
    Willert, C. E. and Gharib, M., Digital particle image velocimetry. Experiments in Fluids 10 (1991) 181–193.Google Scholar
  16. 16.
    Yao, C. S. and Adrian, R. J., Orthogonal compression and 1-D analysis technique for measurement of particle displacements in pulsed laser velocimetry. Applied Optics 23 (1984) 1687–1689.Google Scholar

Copyright information

© Kluwer Academic Publishers 1992

Authors and Affiliations

  • Richard D. Keane
    • 1
  • Ronald J. Adrian
    • 1
  1. 1.Department of Theoretical and Applied MechanicsUniversity of Illinois at Urbana-Champaign, 216 Talbot Lab.UrbanaUSA

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