基于主元分析的随机相移散斑图分析算法

剪切散斑相移干涉术需要提取物体加载后的动态相位变化，因此提出一种基于主元分析的随机相移散斑图分析算法。该算法采用相关计算法从随机相移散斑图中获得随机相移条纹图，然后利用主元分析算法（PCA）从一组随机相移条纹图中提取动态相位分布。实验结果表明，相关计算法处理散斑图所得的随机相移条纹图具有较高信噪比,PCA提取的相位具有较高的精度和效率。该算法无需迭代计算，对随机相移条纹图的空间载波频率没有严格的要求，适合动态剪切散斑干涉测量。

Abstract

Phase-shifting shearography interferometry needs to extract dynamic phase of the measured object after loading, so the random phase-shifting speckle patterns analysis algorithm based on principle component analysis (PCA) is proposed. By using the correlation method, the fringe patterns with random phase shifts are obtained from the speckle patterns with random phase shifts. Then the dynamic phase distributions are extracted from one set of random phase-shifting fringe patterns by PCA. Experimental results show that the obtained fringe patterns have high signal-to-noise ratio, and the extracted phases are accurate and efficient. The proposed method is non-iterative and has no strict requirement for the spatial-carrier frequency of fringe patterns, so it is suitable for dynamic shearing speckle interferometry.

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基于主元分析的随机相移散斑图分析算法

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