Comparative study of sampling moire and windowed Fourier transform techniques for demodulation of a single-fringe pattern

Ri Shien; Agarwal Nimisha; Wang Qinghua; Kemao Qian

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Comparative study of sampling moire and windowed Fourier transform techniques for demodulation of a single-fringe pattern

机译：采样莫尔和窗玻璃傅立叶变换技术解调单条纹图案的比较研究

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Phase measurement techniques using a single-shot carrier fringe pattern play an important role in optical science and technology and have been widely used for various applications. In this paper, we focus on the comparative study of two major fringe analysis techniques, the sampling moire (SM) and the windowed Fourier transform (WFT). While SM converts a single-fringe pattern to multiple phase-shifted moire fringe patterns to extract the phase information in the spatial domain, WFT obtains the phase information in the windowed Fourier domain; thus, the two methods look entirely different. We evaluate the phase extraction errors of SM and windowed Fourier ridges (WFRs) as a typical WFT method for both linear and nonlinear phases with/without noise against the reference Fourier transform (FT) technique. For the simulated fringe patterns with linear or nonlinear phase and different random noise level, all the methods have high phase extraction accuracies. For a real experiment with more complicated phase and discontinuities, SM and WFR, both local methods, yield quite similar results and outperfOrm FT. (C) 2018 Optical Society of America

机译：使用单次载体边缘图案的相位测量技术在光学科学和技术中发挥着重要作用，并且已广泛用于各种应用。在本文中，我们专注于两个主要边缘分析技术的比较研究，采样莫尔（SM）和窗帘傅里叶变换（WFT）。虽然SM将单条纹图案转换为多个相移莫尔条纹图案以提取空间域中的相位信息，WFT在窗口傅立叶域中获得相位信息;因此，这两种方法看起来完全不同。我们将SM和窗口傅立叶脊（WFR）的相位提取误差作为典型的WFT方法作为线性和非线性相对于参考傅里叶变换（FT）技术的线性和非线性相位的典型WFT方法。对于具有线性或非线性相位和不同随机噪声水平的模拟条纹图案，所有方法都具有高相提取精度。对于具有更复杂相和不连续，SM和WFR的真实实验，局部方法，产生相似的结果和胜过FT。（c）2018年光学学会

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《Applied optics》 |2018年第36期|共10页
作者
Ri Shien; Agarwal Nimisha; Wang Qinghua; Kemao Qian;
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作者单位

Natl Metrol Inst Japan Natl Inst Adv Ind Sci &

Technol Tsukuba Ibaraki Japan;

Nanyang Technol Univ Sch Comp Sci &

Engn Singapore Singapore;

Natl Metrol Inst Japan Natl Inst Adv Ind Sci &

Technol Tsukuba Ibaraki Japan;

Nanyang Technol Univ Sch Comp Sci &

Engn Singapore Singapore;

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Comparative study of sampling moire and windowed Fourier transform techniques for demodulation of a single-fringe pattern

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