• Laser & Optoelectronics Progress
  • Vol. 53, Issue 10, 100501 (2016)
Du Hubing1、* and Ai Yongxu2
Author Affiliations
  • 1[in Chinese]
  • 2[in Chinese]
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    DOI: 10.3788/lop53.100501 Cite this Article Set citation alerts
    Du Hubing, Ai Yongxu. Phase Shift Shadow Moiré Demodulation Based on Normalized Principal Component Analysis[J]. Laser & Optoelectronics Progress, 2016, 53(10): 100501 Copy Citation Text show less
    References

    [1] D′Acquisto L, Fratini L, Siddiolo A M. A modified moiré technique for three-dimensional surface topography[J]. Measurement Science and Technology, 2002, 13(4): 613-622.

    [2] Servin M, Estrada J C, Quiroga J A . The general theory of phase shifting algorithms[J]. Optics Express, 2009, 17(24): 21867-21881.

    [3] Luo Zhiyong, Yang Lifeng, Chen Yunchang. Error evaluation of cosine dependent algoithm in precision interference measurement[J]. Acta Optica Sinica, 2005, 25(12): 1629-1633.

    [4] Guo H W, Chen M Y. Least-squares algorithm for phase-stepping interferometry with an unknown relative step[J]. Applied Optics, 2005, 44(23): 4854-4859.

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

    [6] Xu X F, Cai L Z, Wang Y R, et al. Simple direct extraction of unknown phase shift and wavefront reconstruction in generalized phase-shifting interferometry: Algorithm and experiments[J]. Optics Letters, 2008, 33(8): 776-778.

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

    [8] Vargas J, Quiroga J A, Sorzano C O S, et al. Two-step interferometry by a regularized optical flow algorithm[J]. Optics Letters, 2011, 36(17): 3485-3487.

    [9] Zeng F, Tan Q, Gu H, et al. Phase extraction from interferograms with unknown tilt phase shifts based on a regularized optical flow method[J]. Optics Express, 2013, 21(14): 17234-17248.

    [10] Deng J, Wang H, Zhang D, et al. Phase shift extraction algorithm based on Euclidean matrix norm[J]. Optics Letters, 2013, 38(9): 1506-1508.

    [11] Mavoisin G, Brémard F, Lagarde A. Three-dimensional phase reconstruction by phase-shifting shadow moiré[J]. Applied Optics, 1994, 33(11): 2163-2169.

    [12] Dirckx J J J, Decraemer W F, Dielis G. Phase shift method based on object translation for full field automatic 3-D surface reconstruction from moire topograms[J]. Applied Optics, 1988, 27(6): 1164-1169.

    [13] Du Hubing, Zhao Hong, Li Bing, et al. Phase shifting shadow moiré by iterative least squares fitting[J]. Acta Photonica Sinica, 2011, 40(7): 978-982.

    [14] Xie X, Atkinson J T, Lalor M J, et al. Three-map absolute moiré contouring[J]. Applied Optics, 1996, 35(35): 6990-6995.

    [15] Ladak H M, Decraemer W F, Dirckx J J J, et al. Systematic errors in small deformations measured by use of shadow-moiré topography[J]. Applied Optics, 2000, 39(19): 3266-3275.

    [16] Yoshiwaza T, Tomisawa T.Shadow moiré topography by means of the phase-shift method[J]. Optical Engineering, 1993, 32(7): 1668-1674.

    [17] Jin, L, Kodera Y, Yoshizawa, T, et al. Shadow moiré profilometry using the phase-shifting method[J]. Optical Engineering, 2000, 39(8): 2119-2123.

    [18] Arai Y, Yokozeki S, Yamada T. Fringe-scanning method using a general function for shadow moiré[J]. Applied Optics, 1995, 34(22): 4877-4882.

    [19] Degrieck J, van Paepegem W, Boone P. Application of digital phase-shift shadow moiré to micro deformation measurements of curved surfaces[J]. Optics and Lasers in Engineering, 2001, 36(1): 29-40.

    [20] Du H, Zhao H, Li B, et al. Algorithm for phase shifting shadow moiré with an unknown relative step[J]. Journal of Optics, 2011, 13(3): 035405.

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

    [22] Vargas J, Quiroga J A, Sorzano C O S, et al. Two-step demodulation based on the Gram-Schmidt orthonormalization method[J]. Optics Letters, 2012, 37(3): 443-445.

    [23] Li Xinghua, Qian Xiaofan, Lin Chao, et al. Application of phase unwrapping algorithm based on lateral shearing interferometry in three-dimensional measuring by lighting projection[J]. Acta Optica Sinica, 2012, 32(s1): s112005.

    [24] Qian Xiaofan, Zhang Yongan, Li Xinyu, et al. Phase unwrapping algorithm based on mask and least-squares iteration[J]. Acta Optica Sinica, 2010, 30(2): 440-444.

    [25] Ai Yongxu, Zhou Xiang, Du Hubing, et al. Shadow moiré using Talbot effect under point light illumination[J]. Acta Optica Sinica, 2016, 36(4): 0412003.

    [26] Harlharan P, Oreb B F, Eiju T, et al. Digital phase-shifting interferometry: A simple error-compensating phase calculation algorithm[J]. Applied Optics, 1987, 26(13): 2504-2506.

    CLP Journals

    [1] Yan Jingjing, Du Hubing. Real-Time Calibration Technique for Phase Shift Shadow Moiré[J]. Laser & Optoelectronics Progress, 2017, 54(9): 91202

    Du Hubing, Ai Yongxu. Phase Shift Shadow Moiré Demodulation Based on Normalized Principal Component Analysis[J]. Laser & Optoelectronics Progress, 2016, 53(10): 100501
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