针对单幅载频变形条纹图的相位重构问题,提出了一种快速、高精度和免解包裹的相位恢复新算法。该算法利用两次希尔伯特(Hilbert)变换法从单幅条纹图中分离出正弦分量和余弦分量,然后由这两个分量计算出相位的斜率,对水平和垂直两个方向上的相位斜率进行积分,最后得到全场相位分布。计算机模拟和实验结果表明,该算法仅需一幅变形条纹图即可很好的恢复全场相位分布。与传统的傅里叶方法相比,该算法不需要解包裹处理,简化了计算量,避免了相位解包裹过程带来的误差,并且对阴影和相位不连续点不敏感。

A rapid and precise algorithm without phase unwrapping for phase retrieval from a single carrier-frequency fringe pattern is proposed. The algorithm first gains sinusoidal component and cosine component of the fringe pattern by Hilbert transform twice,and then phase is retrieved by the line integral of its gradient calculated by the sinusoidal and cosine components. The performance of the proposed method is evaluated by computer simulation and experiment. The phase error from phase unwrapped by Fourier transform is avoided. The algorithm is simple and insensitive to the shadow and discontinuous region.