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Analysis of weighting windows for image deformation methods in PIV

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Abstract

The use of a weighting window (WW) in the evaluation of the cross-correlation coefficient and in the iterative procedure of image deformation method for particle image velocimetry (PIV) applications can be used to both stabilise the process and to increase the spatial resolution. The choice of the WW is a parameter that influences the complete PIV algorithm. Aim of this paper is to examine the influence of this aspect on both the accuracy and spatial resolution of the PIV algorithm. Results show an overall accordance between the theoretical approach and the simulation both with synthetic and real images. The choice of the combination of WW influences significantly the spatial resolution and accuracy of the PIV algorithm.

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Notes

  1. The triangular weighting window for W a odd is herein defined as w i  = 2i/(W a  + 1) for 1 ≤ i ≤ (W a  + 1)/2.

  2. In order to define with a short symbol the combination of weighting windows used in steps 4 and 5 of the algorithm, in the following, the symbology Wina#-Winb# will indicate an algorithm that use the Wina WW in step 4 and the Winb WW in step 5. The optional number indicates the dimension of the weighting window. As an example the acronym TH33-TR indicates the algorithm that uses a top hat weighting window with W a  = 33 for step 4 and a triangular weighting window with unspecified dimension for step 5 of the algorithm.

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  1. University of Naples Federico II, DETEC, P.le Tecchio 80, 80125, Naples, Italy

    T. Astarita

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  1. T. Astarita
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Astarita, T. Analysis of weighting windows for image deformation methods in PIV. Exp Fluids 43, 859–872 (2007). https://doi.org/10.1007/s00348-007-0314-2

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  • DOI: https://doi.org/10.1007/s00348-007-0314-2

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