Acta Optica Sinica, Volume. 32, Issue 7, 712001(2012)

Phase Retrieval Method with Continuous Wavelet Transform Based on Exponent Spacing Scales

Cui Shilin1,2、*, Tian Fei2, and Li Dehua1
Author Affiliations
  • 1[in Chinese]
  • 2[in Chinese]
  • show less
    References(28)

    [1] [1] M. Takeda, K. Mutoh. Fourier transform profilometry for the automatic measurement of 3-D object shapes[J]. Appl. Opt., 1983, 22(24): 3977~3982

    [2] [2] S. S. Gorthi, P. Rastogi. Fringe projection techniques: Whither we are [J]. Opt. & Lasers in Engng., 2010, 48(2): 133~140

    [5] [5] Li Yanqiu, Liu Ke. Core techniques of phase-shifting point diffraction interferometer[J]. Laser & Optoelectronics Progress, 2010, 47(1): 011201

    [6] [6] K. Qian. Windowed Fourier transform for fringe pattern analysis[J]. Appl. Opt., 2004, 43(13): 2695~2702

    [7] [7] Jiang Mohua, Chen Wenjing, Zheng Zhiping. Research of phase demodulation technique based on S-transform[J]. Acta Optica Sinica, 2011, 31(4): 0412001

    [9] [9] K. Qian. On window size selection in the windowed Fourier ridges algorithm[J]. Opt. & Lasers in Engng., 2007, 45(12): 1186~1192

    [10] [10] J. Zhong, H. Zeng. Multiscale windowed Fourier transform for phase extraction of fringe patterns[J]. Appl. Opt., 2007, 46(14): 2670~2675

    [11] [11] K. Qian. Two-dimensional windowed Fourier transform for fringe pattern analysis: principles, applications and implementations[J]. Opt. & Lasers in Engng., 2007, 45(2): 304~317

    [12] [12] C. Quan, H. Niu, C. J. Tay. An improved windowed Fourier transform for fringe demodulation[J]. Opt. Laser Technol., 2010, 42(1): 126~131

    [13] [13] L. Huang, Q. Kemao, B. Pan et al.. Comparison of Fourier transform, windowed Fourier transform, and wavelet transform methods for phase extraction from a single fringe pattern in fringe projection profilometry[J]. Opt. & Lasers in Engng., 2010, 48(2): 141~148

    [14] [14] Q. Zhang, W. Chen, Y. Tang. Method of choosing the adaptive level of discrete wavelet decomposition to eliminate zero component[J]. Opt. Commun., 2009, 282(5): 778~785

    [15] [15] H. Niu, C. Quan, C. J. Tay. Phase retrieval of speckle fringe pattern with carriers using 2D wavelet transform[J]. Opt. & Lasers in Engng., 2009, 47(12): 1334~1339

    [16] [16] H Liu, A. N. Cartwright, C. Basaran. Moire. Interferogram phase extraction: a ridge detection algorithm for continuous wavelet transforms[J]. Appl. Opt., 2004, 43(4): 850~857

    [17] [17] C. J. Tay, C. Quan, W. Sun et al.. Demodulation of a single interferogram based on continuous wavelet transform and phase derivative[J]. Opt. Commun., 2007, 280(2): 327~336

    [18] [18] A. Z. Abid, M. A. Gdeisat, D. R. Burton et al.. Ridge extraction algorithms for one-dimensional continuous wavelet transform: a comparison[J]. Sensors and Their Applications XIV, 2007, 76(1): 012045

    [19] [19] A. Z. Abid, M. A. Gdeisat, D. R. Burton et al.. Spatial fringe pattern analysis using the two-dimensional continuous wavelet transform employing a cost function[J]. Appl. Opt., 2007, 46(24): 6120~6126

    [20] [20] Chen Wenjing, Su Xianyu, Cao Yiping et al.. Analysis on generalized measuring range of Fourier transform profilometry[J]. J. Optoelectronics·Laser, 2004, 15(5): 604~607

    [21] [21] L. C. Chen, H. W. Ho, X. L. Nguyen. Fourier transform profilometry (FTP) using an innovative band-pass filter for accurate 3-D surface reconstruction[J]. Opt. & Lasers in Engng., 2010, 48(2): 182~190

    [22] [22] W. Chen, X. Su, Y. Cao et al.. Method for eliminating zero spectrum in Fourier transform profilometry[J]. Opt. & Lasers in Engng., 2005, 43(11): 1267~1276

    [23] [23] M. A. Gdeisat, D. R. Burton, M. J. Lalor. Eliminating the zero spectrum in Fourier transform profilometry using a two-dimensional continuous wavelet transform[J]. Opt. Commun., 2006, 266(2): 482~489

    [24] [24] N. E. Huang, Z. Shen, S. R. Long et al.. The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis[C]. Proc. R.Soc. London, Ser. A, 1998, 454(1971): 903~995

    [25] [25] S. Li, X. Su, W. Chen et al.. Eliminating the zero spectrum in Fourier transform profilometry using empirical mode decomposition[J]. J. Opt. Soc. Am. A, 2009, 26(5): 1195~1201

    [26] [26] W. Sun. Convergence of Morlet's Reconstruction Formula[Z]. Preprint, 2010

    [27] [27] N. A. Otsu. Threshold selection method from gray-level histograms[J]. IEEE Trans. Syst. Man Cy. A, 1979, 9(1): 62~66

    [28] [28] K. Qian, W. Gao, H. Wang. Windowed Fourier-filtered and quality-guided phase-unwrapping algorithm[J]. Appl. Opt., 2008, 47(29): 5420~5428

    CLP Journals

    [1] Yu Cheng, Li Sikun, Wang Xiangzhao. Fast Three-Dimensional Shape Measurement Technique by Means of Wavelet Transform Based on Parallel Computing[J]. Acta Optica Sinica, 2014, 34(5): 512005

    Tools

    Get Citation

    Copy Citation Text

    Cui Shilin, Tian Fei, Li Dehua. Phase Retrieval Method with Continuous Wavelet Transform Based on Exponent Spacing Scales[J]. Acta Optica Sinica, 2012, 32(7): 712001

    Download Citation

    EndNote(RIS)BibTexPlain Text
    Save article for my favorites
    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Jan. 5, 2012

    Accepted: --

    Published Online: May. 31, 2012

    The Author Email: Shilin Cui (shilin.cui@gmail.com)

    DOI:10.3788/aos201232.0712001

    Topics