Acta Optica Sinica, Volume. 31, Issue 4, 412001(2011)

Research of phase demodulation technique based on S-Transform

Jiang Mohua*, Chen Wenjing, and Zheng Zhiping
Author Affiliations
  • [in Chinese]
  • show less

    S-transform is one of the time-frequency analysis techniques, which combines the advantage of windowed Fourier transforma and wavelet transform. Compared with the windowed Fourier transform, S-transform has the perfect time-frequency resolution because its window size is adjusted by the variation of the frequency. Compared with the wavelet transform, the frequency concept of S-transform is clear because it relates to Fourier frequency of the signal. The complete Fourier spectrum can be constituted by superimposing S-transform coefficients along the direction of space/time, while the wavelet transform just calculates the similitude between the local fringe and the stretched wavelet function instead of obtaining the frequency distribution. The paper focuses on the application of S-transform in three dimensional optical measurement based on the structured light projection, and S-transform profilometry (STP) based on the filtering way is studied. The "ridge" theory of S-transforma profilometry is completed. A strict expression of the S-transform of the deformed fringe pattern is given. The modulation map can be used to guide phase unwrapping algorithm, the application of which to S-transform profilometry is studied. We also discuss the effect of one-dimensional generalized S-transform on the fringe processing.

    Tools

    Get Citation

    Copy Citation Text

    Jiang Mohua, Chen Wenjing, Zheng Zhiping. Research of phase demodulation technique based on S-Transform[J]. Acta Optica Sinica, 2011, 31(4): 412001

    Download Citation

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

    Category: Instrumentation, Measurement and Metrology

    Received: Aug. 28, 2010

    Accepted: --

    Published Online: Mar. 24, 2011

    The Author Email: Mohua Jiang (jmhkevin@163.com)

    DOI:10.3788/aos201131.0412001

    Topics