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首页> 外文期刊>Optics Letters >Demodulation of a single-image interferogram using a Zernike-polynomial-based phase-fitting technique with a differential evolution algorithm
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Demodulation of a single-image interferogram using a Zernike-polynomial-based phase-fitting technique with a differential evolution algorithm

机译：使用基于Zernike多项式的相位拟合技术和差分演化算法对单图像干涉图进行解调

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摘要

We propose a simple and robust polynomial-based phase-fitting (PPF) technique for single interferogram demodulation. Based on the smoothness assumption, the method employs a set of Zernike polynomials (ZPs) to fit the phase and estimates the expansion coefficients using a global optimization algorithm, i.e., differential evolution. The fitting order of the ZPs and the bounds of the coefficients can be intuitively determined according to the shape and number of fringes of the interferogram. Different from classical methods that need predefined scanning paths to guide the phase estimator, the PPF demodulates an interferogram globally and is insensitive to local defects, which allows it to deal with very noisy interferograms. Moreover, as the PPF gives the reconstructed phase by use of the ZPs, no further phase-unwrapping or wavefront-fitting procedures are needed. Experimental results have demonstrated the robustness and effectiveness of the method.
机译：我们提出了一种简单而强大的基于多项式的相位拟合（PPF）技术来进行单干涉图解调。基于平滑度假设，该方法采用一组Zernike多项式（ZP）来拟合相位，并使用全局优化算法（即差分演化）来估计扩展系数。可以根据干涉图的条纹的形状和数量直观地确定ZP的拟合顺序和系数的边界。 PPF与需要预定义扫描路径以引导相位估计器的传统方法不同，PPF可以全局解调干涉图，并且对局部缺陷不敏感，因此可以处理非常嘈杂的干涉图。此外，由于PPF通过使用ZP给出了重建的相位，因此不需要进一步的相位展开或波前拟合程序。实验结果证明了该方法的鲁棒性和有效性。

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