Analysis of weighting windows for image deformation methods in PIV

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.

[1]  J. Nogueira,et al.  Local field correction PIV, implemented by means of simple algorithms, and multigrid versions , 2001 .

[2]  A. Nuttall Some windows with very good sidelobe behavior , 1981 .

[3]  J. Nogueira,et al.  Local field correction PIV: on the increase of accuracy of digital PIV systems , 1999 .

[4]  F. Di Felice,et al.  Windowing, re-shaping and re-orientation interrogation windows in particle image velocimetry for the investigation of shear flows , 2002 .

[5]  Ferry Schrijer,et al.  Effect of predictor–corrector filtering on the stability and spatial resolution of iterative PIV interrogation , 2008 .

[6]  F. Harris On the use of windows for harmonic analysis with the discrete Fourier transform , 1978, Proceedings of the IEEE.

[7]  Giovanni Maria Carlomagno,et al.  Thermo-fluid-dynamics of a complex fluid flow , 2004 .

[8]  J. Nogueira,et al.  Limits on the resolution of correlation PIV iterative methods. Practical implementation and design of weighting functions , 2005 .

[9]  W. Merzkirch,et al.  A digital mask technique for reducing the bias error of the correlation-based PIV interrogation algorithm , 2000 .

[10]  Fulvio Scarano,et al.  Theory of non-isotropic spatial resolution in PIV , 2003 .

[11]  J. Nogueira,et al.  Analysis and alternatives in two-dimensional multigrid particle image velocimetry methods: application of a dedicated weighting function and symmetric direct correlation , 2002 .

[12]  Tommaso Astarita,et al.  Analysis of interpolation schemes for image deformation methods in PIV , 2005 .

[13]  Milton Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .

[14]  Tommaso Astarita,et al.  Analysis of interpolation schemes for image deformation methods in PIV: effect of noise on the accuracy and spatial resolution , 2006 .

[15]  J. Nogueira,et al.  Limits on the resolution of correlation PIV iterative methods. Fundamentals , 2005 .

[16]  Domingo Santana,et al.  Accuracy and time performance of different schemes of the local field correction PIV technique , 2002 .