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Optical Engineering

Two-dimensional windowed Fourier frames for noise reduction in fringe pattern analysis
Author(s): Qian Kemao; Seah Hock Soon
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Paper 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/σx and 1/σy, 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.

Paper Details

Date Published: 1 July 2005
PDF: 9 pages
Opt. Eng. 44(7) 075601 doi: 10.1117/1.1948107
Published in: Optical Engineering Volume 44, Issue 7
Show Author Affiliations
Qian Kemao, Nanyang Technological Univ. (Singapore)
Seah Hock Soon, Nanyang Technological Univ. (Singapore)

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