Two-dimensional Gaussian regression for sub-pixel displacement estimation in particle image velocimetry or particle position estimation in particle tracking velocimetry

An explicit solution of two-dimensional Gaussian regression for the estimation of particle displacement from the correlation function in particle image velocimetry (PIV) or particle position from the images in particle tracking velocimetry (PTV) with sub-pixel accuracy is introduced. The accuracy and the ability of the methods to avoid pixel locking due to non-axially orientated, elliptically shaped particle images or correlation peaks are investigated using simulated and experimentally obtained images.

[1]  M. Gharib,et al.  On errors of digital particle image velocimetry , 1997 .

[2]  W. Merzkirch,et al.  A novel PIV technique for measurements in multiphase flows and its application to two-phase bubbly flows , 2002 .

[3]  Brian F. Alexander,et al.  Elimination of systematic error in subpixel accuracy centroid estimation [also Letter 34(11)3347-3348(Nov1995)] , 1991 .

[4]  Christian Willert.  The fully digital evaluation of photographic PIV recordings , 1996 .

[5]  R. Adrian,et al.  Effect of resolution on the speed and accuracy of particle image velocimetry interrogation , 1992 .

[6]  R. Adrian,et al.  Pulsed laser technique application to liquid and gaseous flows and the scattering power of seed materials. , 1985, Applied optics.

[7]  J. Westerweel.  Fundamentals of digital particle image velocimetry , 1997 .

[8]  T. Roesgen,et al.  Optimal subpixel interpolation in particle image velocimetry , 2003 .

[9]  L. Lourenco,et al.  On the accuracy of velocity and vorticity measurements with PIV , 1995 .

[10]  C. Willert,et al.  Digital particle image velocimetry , 1991 .

[11]  J. G. Timothy,et al.  Centroid position measurements and subpixel sensitivity variations with the MAMA detector. , 1989, Applied optics.

[12]  Bernd Jähne,et al.  Comparison of Gaussian particle center estimators and the achievable measurement density for particle tracking velocimetry , 2000 .

[13]  Jürgen Kompenhans,et al.  Advanced evaluation algorithms for standard and dual plane particle image velocimetry. , 1998 .

[14]  Richard D. Keane,et al.  Theory of cross-correlation analysis of PIV images , 1992 .