Phase shifts extraction algorithm based on Gram–Schmidt orthonormalization of two vectors
Phase shifts extraction algorithm based on Gram–Schmidt orthonormalization of two vectors
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DOI：
10.1007/s11082-015-0167-5
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发表时间：
2015-04
影响因子：
3
通讯作者：
Wenhu Niu;Liyun Zhong;Peng Sun;Xiaoxu Lu
中科院分区：
文献类型：
--
作者：
Wenhu Niu;Liyun Zhong;Peng Sun;Xiaoxu Lu
相移提取是相移干涉术的一个重要研究领域。本文基于两矢量的Gram-Schmidt正交化，提出了一种新的相移提取算法。该算法可以仅利用两帧相移干涉图来确定相移，也可以通过循环程序来确定干涉图序列之间的相移。为了验证该算法的性能，我们将该算法应用于仿真条纹图和实验干涉图中提取相移，结果表明该算法能够快速、高精度地提取相移。与其他算法的比较表明，该算法适用于相位偏移的提取，特别是在只有两帧干涉图的情况下。
Phase shifts extraction is an important research field of phase-shifting interferometry. In this paper, based on Gram–Schmidt orthonormalization of two vectors, a novel algorithm for phase shifts extraction is proposed. This algorithm can determine the phase shifts by using only two-frame phase-shifting interferograms, as well as the phase shifts among a sequence of interferograms by a loop program. To verify the performance of the proposed algorithm, we have employed this algorithm to the simulation fringe patterns and experimental interferograms to extract the phase shifts, both of the results prove that this algorithm can obtain the phase shifts with high precision rapidly. Comparing with other algorithms, it shows that the proposed algorithm is suitable for phase shifts extraction, especially in the situation of only two-frame interferograms.