光学学报, 2021, 41 (3): 0312003, 网络出版: 2021-02-28
基于快速最小二乘法的两步随机相移算法研究 
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Two-Step Random Phase Shifting Algorithms Based on Fast Least-Squares Method
图 & 表
图 1. 模拟相位分布图和两幅相移干涉图。(a) 理论相位分布图;(b)第一幅和(c)第二幅干涉图
Fig. 1. Simulated phase distribution and two phase shifted interferograms. (a) Theoretical phase distribution; (b) first and (c) second interferograms
图 2. 不同相移算法在三种不同情况下提取的相位分布图
Fig. 2. Phase distributions extracted by different phase shifting algorithms in three different situations
图 3. 不同相移算法在三种不同情况下的相位误差分布图
Fig. 3. Phase error distributions of different phase shifting algorithms in three different situations
图 4. 三种不同情况下不同相移算法的迭代曲线图
Fig. 4. Iterative curves of different phase shifting algorithms in three different situations
图 5. 三种不同情况下不同算法的RMS相位误差和计算时间。(a) RMS相位误差;(b)计算时间
Fig. 5. RMS phase errors and computational time of different algorithms in three different situations. (a) RMS phase errors; (b) computational time
图 6. 干涉图尺寸为401 pixel×401 pixel时SD2&FLSA在不同选择像素数量下的仿真结果。(a)迭代次数;(b)计算时间;(c) RMS相位误差;(d)相移误差
Fig. 6. Simulation results of SD2&FLSA with different numbers of chosen pixels when size of interferogram is 401 pixel×401 pixel. (a) Number of iterations; (b) computational time; (c) RMS phase error; (c) phase shifting error
图 7. 干涉图尺寸为801 pixel×801 pixel时SD2&FLSA在不同选择像素数量下的模拟结果。(a)计算时间;(b) RMS相位误差
Fig. 7. Simulation results of SD2&FLSA with different numbers of chosen pixels when size of interferogram is 801 pixel×801 pixel. (a) Computational time; (b) RMS phase error
图 8. 六种不同情况下具有不同相移的SD2&FLSA的RMS相位误差
Fig. 8. RMS phase errors of SD2&FLSA with different phase shifts in six different situations
图 9. 实验相移干涉图与相位分布图。(a)第一和(b)第二幅干涉图;(c)四步相移算法提取的参考相位分布图
Fig. 9. Experimental phase shifted interferograms and phase distribution. (a) First and (b) second interferograms; (c) reference phase distribution extracted by four-step phase shifting algorithm
表 1不同算法提取的相位分布的PV值和RMS值及算法的RMS相位误差和计算时间
Table1. PV and RMS values of phase distributions extracted by different algorithms as well as RMS phase errors and computational time of different algorithms
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张宇. 基于快速最小二乘法的两步随机相移算法研究[J]. 光学学报, 2021, 41(3): 0312003. Yu Zhang. Two-Step Random Phase Shifting Algorithms Based on Fast Least-Squares Method[J]. Acta Optica Sinica, 2021, 41(3): 0312003.
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