Two-dimensional windowed Fourier frames for noise reduction in fringe pattern analysis

Qian Kemao; Seah Hock Soon

doi:10.1117/1.1948107

1 July 2005 Two-dimensional windowed Fourier frames for noise reduction in fringe pattern analysis

Qian Kemao, Seah Hock Soon

Author Affiliations +

Optical Engineering, Vol. 44, Issue 7, 075601 (July 2005). https://doi.org/10.1117/1.1948107

Abstract

The two-dimensional continuous windowed Fourier transform has been shown to be effective for fringe pattern analysis in our previous work. In this paper, we first estimate the sampling intervals, using frame theory, to discretize the transform. Suitable sampling intervals are estimated as 1/σ_x and 1/σ_y, which is verified by simulations. Noise reduction using windowed Fourier frames is then investigated and compared with that using the orthogonal wavelet transform. Due to the coherence of its kernels and fringe patterns and its redundancy, windowed Fourier frames are able to reduce noise more effectively, which is verified by processing both simulated and experimental fringe patterns. The relative errors are reduced by half, in various simulations, from those with orthogonal wavelet filtering.

©(2005) Society of Photo-Optical Instrumentation Engineers (SPIE)

Citation Download Citation

Qian Kemao and Seah Hock Soon "Two-dimensional windowed Fourier frames for noise reduction in fringe pattern analysis," Optical Engineering 44(7), 075601 (1 July 2005). https://doi.org/10.1117/1.1948107

Published: 1 July 2005

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