In this paper, a rough sample tested interferometrically by intermediate and high coherent red light is demodulated by the wavelet transform (WT) and Fourier transform (FT). The demodulated phase map resulting from the WT is unwrapped by the graph cuts method. A generic equation is given to simulate any parabolic carrier for reference phase map extraction. The unwrapped reference phase map from the simulated parabolic carrier is subtracted from the unwrapped total phase map from the experimental deformed parabolic interferogram to extract the phase map of the object being tested. It is shown that the uncertainty estimation is reduced by a factor of nine times as compared with that estimated through the FT when the intermediate coherent red light is used. Moreover, we observed a substantial decrease in the uncertainty estimation by a factor of 20 times as compared with that estimated through the FT when the high coherent red light is used. We claim that the decrease in uncertainty estimation is likely due to the negligible side lobes effect in phase-contrast image.

中文翻译：

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用于粗糙表面表征的时域抛物线干涉图解调

在本文中，通过小波变换 (WT) 和傅立叶变换 (FT) 对通过中高相干红光进行干涉测试的粗糙样品进行解调。由 WT 产生的解调相位图通过图切割方法展开。给出了一个通用方程来模拟用于参考相位图提取的任何抛物线载波。从实验变形抛物线干涉图的展开总相位图中减去来自模拟抛物线载体的展开参考相位图，以提取被测物体的相位图。结果表明，当使用中间相干红光时，与通过 FT 估计的相比，不确定性估计降低了 9 倍。而且，与使用高相干红光时通过 FT 估计的相比，我们观察到不确定性估计显着降低了 20 倍。我们声称不确定性估计的减少可能是由于相衬图像中的旁瓣效应可以忽略不计。