In the digital speckle pattern interferometry (DSPI), accurate phase unwrapping is essential for quantitative phase measurement. In this paper, a novel adaptive mask generating algorithm based on the fuzzy set theory is proposed, which can automatically calculate an optimal threshold for the reliability masked weighted least-squares phase unwrapping. The reliability map of a wrapped phase map is firstly calculated based on the second differences of each pixel. Then, the fuzzy interval of the threshold is determined according to reliability values of the residues and standard deviation of the reliability map, and a membership function describing the fuzzy threshold is established to map the reliability values to the interval of [0, 1]. At last, the membership matrix is used to perform weighted average processing on the reliability map to automatically calculate the optimal threshold for generating a 0-1 mask. Two sets of simulated phase maps under different noise levels and fringe abnormal conditions are generated to evaluate and the accuracy of the adaptive threshold and the performance of the proposed algorithm. Experimental phase data of deformation dynamic measurement in DSPI is adopted to verify the effectiveness of the proposed algorithm. Simulation and experimental results show that the algorithm can adaptively calculate an optimal threshold of different wrapped phase maps, which is very close to the threshold elaborately selected by manual intervention, and can provide a reliable and accurate unwrapping phase for actual phase measurement.

在数字散斑干涉测量 (DSPI) 中，精确的相位展开对于定量相位测量至关重要。本文提出了一种基于模糊集理论的自适应掩模生成算法，该算法可以自动计算可靠性掩模加权最小二乘相位解缠的最佳阈值。包裹相位图的可靠性图首先根据每个像素的二阶差分计算。然后，根据残差的可靠性值和可靠性图的标准差确定阈值的模糊区间，并建立描述模糊阈值的隶属函数，将可靠性值映射到区间[0, 1]。最后，隶属矩阵用于对可靠性图进行加权平均处理，自动计算生成0-1掩码的最优阈值。生成两组不同噪声水平和条纹异常条件下的模拟相位图，以评估自适应阈值的准确性和所提出算法的性能。采用DSPI中变形动态测量的实验相位数据验证了所提算法的有效性。仿真和实验结果表明，该算法能够自适应计算出不同缠绕相位图的最优阈值，与人工干预精心选择的阈值非常接近，可为实际相位测量提供可靠、准确的展开相位。