Spatial carrier phase-shifting algorithm based on least-squares iteration
Spatial carrier phase-shifting algorithm based on least-squares iteration
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DOI：
10.1364/ao.47.005446
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发表时间：
2008-10-10
期刊：
影响因子：
1.9
通讯作者：
Pen, Hansheng
中科院分区：
文献类型：
--
作者：
Xu, Jiancheng;Xu, Qiao;Pen, Hansheng
提出了一种基于最小二乘迭代的空间载波相移（SCPS）算法，用于从单个空间载波干涉图中提取相位分布。该算法将空间载波干涉图分解为四幅相移干涉图。该算法通过补偿像素间相移变化以及背景和对比度变化的影响，同时准确地确定了局部相移和相位分布。仿真结果表明，通过补偿背景和对比度变化的影响，该算法的精度得到了明显提高。当空间载波幅值在π/5 ~ π/2范围内，方向在25 ~ 65 °范围内时，残余相位误差的峰谷值小于0.002rad。数值模拟和实验表明，该算法具有更高的精度比现有的SCPS算法。该算法对随机噪声敏感，但如果取N个测量值并进行平均，则误差可以减小到原来的N倍。(C)2008年美国光学学会
An advanced spatial carrier phase-shifting (SCPS) algorithm based on least-squares iteration is proposed to extract the phase distribution from a single spatial carrier interferogram. The proposed algorithm divides the spatial carrier interferogram into four phase-shifted interferograms. By compensating for the effects of the variations of phase shifts between pixels and the variations of background and contrast, the proposed algorithm determines the local phase shifts and phase distribution simultaneously and accurately. Numerical simulations show that the accuracy of the proposed algorithm is obviously improved by compensating for the effects of background and contrast variations. The peak to valley of the residual phase error remains less than 0.002 rad when the magnitude of spatial carrier is in the range from pi/5 to pi/2 and the direction of the spatial carrier is in the range from 25 degrees to 65 degrees. Numerical simulations and experiments demonstrate that the proposed algorithm exhibits higher precision than the existing SCPS algorithms. The proposed algorithm is sensitive to random noise, but the error can be reduced by root N times if N measurements are taken and averaged. (C) 2008 Optical Society of America