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针对传统傅里叶变换法在提取条纹图相位中存在的能量泄漏问题,提出了条纹图整周期裁剪的方法,可有效抑制能量泄漏对检相精度的影响,提高傅里叶变换法相位计算的精度。在此基础上,提出了一种基于傅里叶变换时移特性的叠栅条纹细分新方法。与传统傅里叶变换法相比,该方法求取相邻两帧条纹图间的相移,只需经过两次傅里叶变换,不需要截取条纹图的基频再逆变换回空域,因此计算量至少减少了一倍,计算速度大大提高。数值计算结果表明,对两束单色平面波形成的条纹,理想条件下细分精度高达10-12量级;对高斯包络调制的条纹,细分精度至少可达10-3量级。
Aiming at the problem of energy leakage in extracting the fringe pattern of the traditional Fourier transform method, a method of full period cropping of the fringe pattern is proposed, which can effectively suppress the influence of energy leakage on the phase detection accuracy and improve the phase calculation of the Fourier transform method Accuracy. On the basis of this, a new method of moire segmentation based on time-varying characteristics of Fourier transform is proposed. Compared with the traditional Fourier transform method, this method obtains the phase shift between two adjacent fringe patterns, and only needs twice the Fourier transform, and does not need to intercept the fundamental frequency of the fringe pattern to transform back into the airspace again. Therefore, The amount of computation is at least doubled, and the computational speed is greatly increased. The numerical results show that the accuracy of the segmentation of two stripes of monochromatic plane wave is as high as 10-12 under the ideal conditions. The precision of the Gaussian envelope modulation is at least 10-3.