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为解决拓扑复杂物体三维数字化过程中的绝对相位测量及相位重建问题,提出了一种广义变频条纹图序列的相位展开算法。简要综述了现有的各种时间维相位展开算法并指出这些算法存在的问题,在此基础上,详细分析比较提出方法与正指数条纹序列算法的噪声免疫力和时间复杂度,证明该方法有更高的噪声免疫力和更低的时间复杂度。特别是,当相邻编码条纹图的条纹数之比不等于2时,正指数条纹序列算法出现严重噪声,而提出的方法依然能够正常工作。此外,该算法还能够根据实际情况决定需要投影的条纹频率,从而能够使用相对较少的条纹编码图像进行有效的相位展开,进而提高系统的实时性。理论分析和实验结果都证明了提出算法的有效性。
In order to solve the problem of absolute phase measurement and phase reconstruction in the 3D digitization of topological complex objects, a phase unwrapping algorithm of generalized frequency fringe sequence is proposed. In this paper, the existing algorithms for phase unwrapping in time dimension are briefly reviewed and the problems existing in these algorithms are pointed out. On the basis of this, the noise immunity and time complexity of proposed algorithm and the algorithm of positive exponential fringe sequence are analyzed in detail. Higher noise immunity and lower time complexity. In particular, when the ratio of the number of fringes in adjacent encoded fringe patterns is not equal to 2, the algorithm of the positive exponential fringe sequence produces serious noise, and the proposed method still works normally. In addition, the algorithm can also determine the stripe frequency to be projected according to the actual situation, so that relatively less stripe coding images can be used for effective phase unwrapping, thereby improving the real-time performance of the system. Both theoretical analysis and experimental results prove the effectiveness of the proposed algorithm.