Sign Determination and Error Analysis of Phase Extraction Based on Principal Component Analysis

Chen Zhao; Hou Yuanyuan; Xu Jiancheng

doi:10.3788/cjl201643.0108002

[1] Deck L L. Suppressing phase errors from vibration in phase-shifting interferometry[J]. App Opt, 2009, 48(20): 3948–3960.

[2] Hibino K, Oreb B F, Farrant D I. Phase shifting algorithms for nonlinear and spatially nonuniform phase shifts[J]. J Opt Soc Am A, 1997, 14(4): 918–930.

[3] Wang Z Y, Han B. Advanced iterative algorithm for phase extraction of randomly phase-shifted interferograms[J]. Opt Lett, 2004, 29(14): 1671-1673.

[4] Guo H W, Yu Y J, Chen M Y. Blind phase shift estimation in phase-shifting interferometry[J]. J Opt Soc Am A, 2007, 24(1): 25-33.

[5] Cai L Z, Liu Q, Yang X L. Generalized phase-shifting interferometry with arbitrary unknown phase steps for diffraction objects[J]. Opt Lett, 2004, 29(2): 183-185.

[6] Xu X F, Cai L Z, Meng X F, et al.. Fast blind extraction of arbitrary unknown phase shifts by an iterative tangent approach in generalized phase-shifting interferometry[J]. Opt Lett, 2006, 31(13): 1966-1968.

[7] Gao P, Yao B L, Lindlein N, et al.. Phase-shift extraction for generalized phase-shifting interferometry[J]. Opt Lett, 2009, 34(22): 3553- 3555.

[8] Xu X E, Cai L Z, Wang Y R. Simple direct extraction of unknown phase shift and wavefront reconstruction in generalized phase-shifting interferometry: algorithm and experiments[J]. Opt Lett, 2008, 33(8): 776-778.

[9] Meng X F, Peng X, Cai L Z, et al.. Wavefront reconstruction and three-dimensional shape measurement by two-step dc-term-suppressed phase-shifted intensities[J]. Opt Lett, 2009, 34(8): 1210-1212.

[10] Li Jie, Wang Yurong, Meng Xiangfeng, et al.. Classification and comparison of phase shift extraction algorithms in generalized phaseshifting interferometry[J]. Chinese J Lasers, 2013, 40(12): 1208003.

[11] Vargas J, Quiroga J A, Belenguer T. Phase-shifting interferometry based on principal component analysis[J]. Opt Lett, 2011, 36(8): 1326- 1328.

[12] Vargas J, Quiroga J A. Belenguer T. Analysis of the principal component algorithm in phase-shifting interferometry[J]. Opt Lett, 2011, 36(12): 2215-2217.

[13] Xu J, Jin W, Chai L, et al.. Phase extraction from randomly phase-shifted interferograms by combining principal component analysis and least squares method[J]. Opt Express, 2011, 19(21): 20483-20492.

[14] Xu J C, Chen Z. Quadrature component analysis of interferograms with random phase shifts[J]. J Opt, 2014, 16(8): 085402.

[15] Jolliffe. Principal Component Analysis[M]. New York: Springer, 2002.

[16] Qian Xiaofan, Rao Fan, Li Xinghua, et al.. Accurate least-squares phase unwrapping algorithm[J]. Chinese J Lasers, 2012, 39(2): 0209001.

[17] Guo Yuan, Chen Xiaotian. Study of improved phase unwrapping algorithm based on least squares[J]. Chinese J Lasers, 2014, 41(5): 0508005.

[18] Wang Huaying, Liu Zuoqiang, Liao Wei, et al.. Comparison of four phases unwrapping algorithm based on method of minimum norm[J]. Chinese J Lasers, 2014, 41(2): 0209016.

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