Skip to main content
Log in

Particle displacement tracking technique and Cramer-Rao lower bound error in centroid estimates from CCD imagery

  • Originals
  • Published:
Experiments in Fluids Aims and scope Submit manuscript

Abstract

An efficient video based, multi-frame particle displacement tracking technique is presented. The technique is demonstrated on a thermocapillary flow. The Cramer-Rao lower bound centroid measurement uncertainty is derived for Gaussian particle images with Poisson noise recorded on a CCD array. The optimal particle image diameter is determined to be approximately 11/2 pixels. The centroid error increases for particle image diameters larger or smaller than the optimal value. The particle centroid results are carried over to the case of a cross-correlation peak centroid estimate. Particle tracking techniques are shown to have higher accuracy than auto or cross-correlation techniques when the individual velocity measurements are averaged over a comparable correlation subregion.

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.

Similar content being viewed by others

References

  • Adrian, R. J.; Yao, C. S. 1985: Pulsed laser technique application to liquid and gaseous flows and the scattering power of seed materials. Appl. Opt. 24, 44–52

    Google Scholar 

  • Adrian, R. J. 1986: Multipoint optical measurements of simultaneous vectors in unsteady flow- a review. Int. J. Heat and Fluid Flow 7, 127–145

    Google Scholar 

  • Adrian, R. J. 1992: Parallel digital processor system for particle image velocimetry. Proc. 6th Int. Symposium on Applications of Laser Anemometry to Fluid Mechanics. Lisbon, 30.1

  • Blackwelder, R. F.; Utami, T.; Ueno, T. 1988: A novel technique for velocity field extraction from particulate visualization. Paper presented at the American Physical Society's 41st Annual Meeting of the Division of Fluid Dynamics, Buffalo, New York

  • Bobroff, N. 1986: Position measurement with a resolution and noise-limited instrument. Rev. Sci. Instrum. 57, 1152–1157

    Google Scholar 

  • Burle 1989: Photomultiplier handbook. 32–33

  • Hassan, Y.; Cannan, R. E. 1991: Full-field bubbly flow velocity measurements using a multiframe particle tracking technique. Exp. Fluids 12, 49–60

    Google Scholar 

  • Haynes, I. D.; Turner, J. T. 1992: High speed on-line whole field processing of complex flows. Proc. 6th Int. Symposium on Applications of Laser Anemometry to Fluid Mechanics. Lisbon, 3.3

  • Lading, L.; Jensen, A. S. 1980: Estimating the spectral width of a narrowband optical signal. Appl. Opt. 19, 2750–2756

    Google Scholar 

  • Lourenco, L.; Krothapalli, A. 1988: Particle image displacement velocimetry measurements of a three dimensional jet. Phys. Fluids 31, 1835–1837

    Google Scholar 

  • Meynart, R. 1983: Instantaneous velocity field measurements in unsteady gas flow by speckle velocimetry. Appl. Opt. 22, 535–540

    Google Scholar 

  • Morgan, J. S.; Slater, D. C; Timothy, J. G.; Jenkins, E. B. 1989: Centroid position measurements and subpixel sensitivity variations with the MAMA detector. Appl. Opt. 28, 1178–1192

    Google Scholar 

  • Pline, A. D.; Wernet, M. P.; Hsieh, K. C. 1991: Ground-based PIV and numerical flow visualization results from the surface tension driven convection experiment. Proceedings from SPIE Conference on Crystal Growth in Space and Related Optical Diagnostics 1557, 222–234

    Google Scholar 

  • Pline, A. D.; Jacobson, T. P.; Wanhainen J. S.; Petrarca, D. A. 1990: Hardware development for the surface tension driven convection experiment. J. Spacecraft and Rockets 27, 312–317

    Google Scholar 

  • Prasad, A. K.; Adrian, R. J.; Landreth, C. C; Offutt, P. W. 1992: Effect of resolution on the speed and accuracy of particle image velocimetry interrogation. Exp. Fluids 13, 105–116

    Google Scholar 

  • Sturz, R. 1992: Personal communication

  • Wernet, M. P. 1989: A new data reduction technique for pulsed laser velocimetry. Ph.D. Thesis, Case Western Reserve University, Cleveland, Ohio

    Google Scholar 

  • Wernet, M. P.; Edwards, R. V. 1989: A vector scanning processing technique for pulsed laser velocimetry. 13th Int. Congress on Instrumentation in Aerospace Simulation Facilities (ICIASF), Göttingen, Germany

  • Wernet, M. P. 1991a: Two dimensional particle displacement tracking in particle image velocimetry. Appl. Opt. 30, 1839–1846

    Google Scholar 

  • Wernet, M. P. 1991b: Particle displacement tracking applied to air flows. Proc. 4th Int. Conference on Laser Anemometry Advances and Applications, Cleveland, Ohio, 326–335

  • Wernet, M. P. 1991c: A software manual for operating particle displacement tracking data acquisition and reduction system. NASA TM-103720

  • Wernet, M. P.; Pline, A. D. 1991: Particle image velocimetry for the surface tension driven convection experiment using a particle displacement tracking technique. Proc. 4th Int. Conference on Laser Anemometry Advances and Applications, Cleveland, Ohio, 315–325

  • Westerweel, J.; Nieuwstadt, F. T. M. 1990: Measurement of dynamics of coherent flow structures using particle image velocimetry. Proc. 5th Int. Symposium on Applications of Laser Anemometry to Fluid Mechanics. Lisbon, 18.3

  • Whalen, A. D. 1971: Detection of signals in noise. Academic Press, New York, 337–339

    Google Scholar 

  • Willert, C. E; Gharib, M. 1991: Digital particle image velocimetry. Exp. Fluids 10, 181–193

    Google Scholar 

  • Wolberg, J. R. 1967: Prediction analysis. Van Nostrand Co., New Jersey, 254–266

    Google Scholar 

  • Xybion; 1989: ISG-250 Camera operators manual

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wernet, M.P., Pline, A. Particle displacement tracking technique and Cramer-Rao lower bound error in centroid estimates from CCD imagery. Experiments in Fluids 15, 295–307 (1993). https://doi.org/10.1007/BF00223407

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00223407

Keywords

Navigation