• Laser & Optoelectronics Progress
  • Vol. 56, Issue 12, 121005 (2019)
Wei Zhang*, Shenghuai Wang, Aihua Ren, and Haiming Sun
Author Affiliations
  • Department of Mechanical Engineering, Hubei University of Automotive Technology, Shiyan, Hubei 442002, China
  • show less
    DOI: 10.3788/LOP56.121005 Cite this Article Set citation alerts
    Wei Zhang, Shenghuai Wang, Aihua Ren, Haiming Sun. Optimization of Paul Wavelet Parameters in Phase Extraction of Fringe Patterns with Large Phase Variation[J]. Laser & Optoelectronics Progress, 2019, 56(12): 121005 Copy Citation Text show less
    References

    [1] Zheng S Z, Chen W J, Su X Y. The contrast analysis between FTP and CWT in 3D measurement[J]. Laser Journal, 27, 48-50(2006).

    [2] Zheng Y, Chen W J, Zhong M et al. Study of profilometry measurement precision improvement based on Morlet wavelet transform[J]. Laser & Optoelectronics Progress, 51, 111203(2014).

    [3] Chen C, Gao N, Wang X J et al. Three-dimensional shape measurement of colored objects based on adaptive fringe projection[J]. Acta Optica Sinica, 38, 0815008(2018).

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

    [5] Qian K M, Wang H X, Gao W J. Windowed Fourier transform for fringe pattern analysis: theoretical analyses[J]. Applied Optics, 47, 5408-5419(2008). http://www.ncbi.nlm.nih.gov/pubmed/18846183

    [6] Watkins L R. Review of fringe pattern phase recovery using the 1-D and 2-D continuous wavelet transforms[J]. Optics and Lasers in Engineering, 50, 1015-1022(2012). http://www.sciencedirect.com/science/article/pii/S0143816612000024

    [7] Zhang C, Chen W J. Method for improving measurement accuracy of wavelet transform profilometry[J]. Acta Optica Sinica, 38, 0712002(2018).

    [8] Zhong M, Chen F, Xiao C. Research on thenonlinearity mitigation by wavelet transform method in modulation profilometry[J]. Laser & Optoelectronics Progress, 54, 071205(2017).

    [9] Li S K, Su X Y, Chen W J. Wavelet ridge techniques in optical fringe pattern analysis[J]. Journal of the Optical Society of America A, 27, 1245-1254(2010). http://europepmc.org/abstract/MED/20508693

    [10] Watkins L R. Phase recovery using the wavelet transform[J]. AIP Conference Proceedings, 1236, 101-105(2010). http://adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010AIPC.1236..101W&db_key=PHY&link_type=ABSTRACT

    [11] Zhong M, Chen F, Xiao C et al. 3-D surface profilometry based on modulation measurement by applying wavelet transform method[J]. Optics and Lasers in Engineering, 88, 243-254(2017). http://www.sciencedirect.com/science/article/pii/S0143816616301932

    [12] Da F P, Huang H. A fast, accurate phase unwrapping method for wavelet-transform profilometry[J]. Optics Communications, 285, 421-432(2012). http://www.sciencedirect.com/science/article/pii/S0030401811010911

    [13] Chen W J, Li S K, Cai Y X et al. Analysis on fringe pattern demodulation by use of 2-D CWT[J]. Optik, 122, 1739-1746(2011). http://www.sciencedirect.com/science/article/pii/S0030402610005231

    [14] Abid Z, Gdeisat A, Burton R et al. Ridge extraction algorithms for one-dimensional continuous wavelet transform: a comparison[J]. Journal of Physics: Conference Series, 76, 012045(2007). http://adsabs.harvard.edu/abs/2007JPhCS..76a2045A

    [15] Wang Z Y, Ma J, Vo M. Recent progress in two-dimensional continuous wavelet transform technique for fringe pattern analysis[J]. Optics and Lasers in Engineering, 50, 1052-1058(2012). http://www.sciencedirect.com/science/article/pii/S0143816612000437

    [16] Gdeisat M, Burton D, Lilley F et al. Spatial carrier fringe pattern demodulation by use of a two-dimensional continuous wavelet transform[J]. AIP Conference Proceedings, 1236, 112-117(2010). http://adsabs.harvard.edu/abs/2010AIPC.1236..112G

    [17] He B T, Wu S L. Research of 3D-Profilometry on the basis of two-dimensional wavelet transform analysis[J]. Mechanical & Electrical Engineering Magazine, 30, 1503-1505, 1519(2013).

    [18] Watkins L R. Phase recovery from fringe patterns using the continuous wavelet transform[J]. Optics and Lasers in Engineering, 45, 298-303(2007). http://www.sciencedirect.com/science/article/pii/S0143816606000443

    [19] Afifi M, Fassi-Fihri A, Marjane M et al. Paul wavelet-based algorithm for optical phase distribution evaluation[J]. Optics Communications, 211, 47-51(2002). http://www.sciencedirect.com/science/article/pii/S003040180201828X

    [20] Gdeisat M A, Burton D R, Lalor M J. Spatial carrier fringe pattern demodulation by use of a two-dimensional continuous wavelet transform[J]. Applied Optics, 45, 8722-8732(2006). http://www.ncbi.nlm.nih.gov/pubmed/17119568

    [21] Itoh K. Analysis of the phase unwrapping algorithm[J]. Applied Optics, 21, 2470(1982). http://www.opticsinfobase.org/ao/abstract.cfm?id=25943

    [22] Herráez M A, Burton D R, Lalor M J et al. Fast two-dimensional phase-unwrapping algorithm based on sorting by reliability following a noncontinuous path[J]. Applied Optics, 41, 7437-7444(2002). http://www.opticsinfobase.org/abstract.cfm?id=70728

    [23] Sun J, Chen W J, Su X N et al. Study the measurement range of wavelet transform profilometry[J]. Acta Optica Sinica, 27, 647-653(2007).

    [24] Conraria L A, Soares M J. The continuous wavelet transform: A primer[J]. NIPE Working Paper, 16, 1-43(2011).

    [25] Weng J W, Zhong J G. Scalevalue decision method for discrete grid Gabor wavelet transform[J]. Journal of Image and Graphics, 11, 1266-1270(2006).

    Wei Zhang, Shenghuai Wang, Aihua Ren, Haiming Sun. Optimization of Paul Wavelet Parameters in Phase Extraction of Fringe Patterns with Large Phase Variation[J]. Laser & Optoelectronics Progress, 2019, 56(12): 121005
    Download Citation