Abstract:Aiming at the long runtime of windowed Fourier filtering ( WFF) in the filtering of fringes of electronic speckle pattern interferometry, a faster Fourier filtering method based on a two-dimensional Kaiser-Hamming window (KH-WFF) is proposed. First, the Kaiser window and Hamming window are combined to design a two-dimensional Kaiser-Hamming window, and then the Gaussian window in WFF is replaced with the two-dimensional Kaiser-Hamming window. The time complexity is reduced due to the removal of redundant non-orthogonal basis functions. KH-WFF and WFF are applied to the simulated fringe and the experimental fringe, and the results show that the smoothness, detail protection, and fidelity of the filtered fringe are not much different. Moreover, both methods have obtained the unwrapping phase with good continuity, while the filtering speed of KH-WFF for a fringe in practical application is 12 times that of WFF. Finally, the time complexity analysis of KH-WFF and WFF under different image sizes, window sizes, and bandwidths proves that KH-WFF is faster. Experiments prove that the proposed method provides almost the same result while reducing the execution time.