An Application of Wavelet Analysis to PIV

Abstract

It is well known that PIV (Particle Imaging Velocimetry) is now firmly established as a powerful fluid dynamics tool to measure instantaneous flow velocity. This paper deals with a method for evaluation of image itself by analyzing the spatial frequency, and also for a high-speed analysis of the so-called correlation method as an application of the wavelet transform. Spatial frequency enables to evaluate the interrogation window size. The relationship between correlation function on the wavelet domain and on the normal image is clarified here. It gives a new algorithm for the PIV. The effectiveness of the present method is shown through the analysis of the Standard Image in Japan and other images.