Faster Window Fourier Transform filters for fringe pattern analysis

Windowed Fourier Transform (WFT) filters, including Windowed Fourier Filtering (WFF) and Windowed Fourier Ridges (WFR), have recently been proven to be effective in analyzing fringes affected from speckle as well as various kinds of noise. These filters deliver high quality results since they process in the windowed Fourier domain which is more robust to noise than the spatial domain. However WFT is relatively slow because of convolution or Fourier transform needs to be executed for many times. In this paper, a revised version of WFT filters are proposed that reduces execution time yet offers almost the same result. Experiments are carried out to backup the theory.