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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 22, Iss. 3 — Feb. 10, 2014
  • pp: 2695–2705

Spatial quasi-phase-shifting technique for single-frame dynamic fringe analysis

Zibang Zhang and Jingang Zhong  »View Author Affiliations

Optics Express, Vol. 22, Issue 3, pp. 2695-2705 (2014)

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Phase demodulation from carrier-frequency fringe patterns is the core of many optic measurements. We propose spatial quasi-phase-shifting technique by expressing the fringe signal in the frequency-modulated form, which requires only one frame fringe pattern for instantaneous and dynamic measurements. In an area smaller than a fringe period, there substantially exists an approximately constant phase shift between spatially adjacent sample points. The technique is capable of demodulating the phase with such intra-frame phase shifts, which makes the instantaneous and dynamic measurement possible. The technique implements demodulation within three spatially adjacent neighbors, achieving spatial localization as good as a several-point level. Both numerical simulation and experiment are presented to verify its performance.

© 2014 Optical Society of America

OCIS Codes
(100.5070) Image processing : Phase retrieval
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.3940) Instrumentation, measurement, and metrology : Metrology
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: November 14, 2013
Revised Manuscript: January 21, 2014
Manuscript Accepted: January 23, 2014
Published: January 30, 2014

Zibang Zhang and Jingang Zhong, "Spatial quasi-phase-shifting technique for single-frame dynamic fringe analysis," Opt. Express 22, 2695-2705 (2014)

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  1. M. Takeda, “Spatial-carrier fringe-pattern analysis and its applications to precision interferometry and profilometry: An overview,” Industrial Metrology 1(2), 79–99 (1990). [CrossRef]
  2. Q. Kemao, “Windowed Fourier Transform for Fringe Pattern Analysis,” Appl. Opt. 43(13), 2695–2702 (2004). [CrossRef] [PubMed]
  3. J. Zhong, J. Weng, “Phase retrieval of optical fringe patterns from the ridge of a wavelet transform,” Opt. Lett. 30(19), 2560–2562 (2005). [CrossRef] [PubMed]
  4. I. Yamaguchi, T. Zhang, “Phase-shifting digital holography,” Opt. Lett. 22(16), 1268–1270 (1997). [CrossRef] [PubMed]
  5. Z. Zhang, J. Zhong, “Applicability analysis of wavelet-transform profilometry,” Opt. Express 21(16), 18777–18796 (2013). [CrossRef] [PubMed]
  6. B. Li, Y. Wang, J. Dai, W. Lohry, S. Zhang, “Some recent advances on superfast 3D shape measurement with digital binary defocusing techniques,” Opt. Lasers Eng. 54, 236–246 (2014). [CrossRef]
  7. M. Kujawinska, J. Wojciak, “Spatial-carrier phase-shifting technique of fringe pattern analysis,” Proc. SPIE 1508, 61–67 (1991). [CrossRef]
  8. P. Chan, P. Bryanston-Cross, S. Parker, “Spatial phase stepping method of fringe-pattern analysis,” Opt. Lasers Eng. 23(5), 343–354 (1995). [CrossRef]
  9. Y. Du, G. Feng, H. Li, J. Vargas, S. Zhou, “Spatial carrier phase-shifting algorithm based on principal component analysis method,” Opt. Express 20(15), 16471–16479 (2012). [CrossRef]
  10. Y. Awatsuji, M. Sasada, T. Kubota, “Parallel quasi-phase-shifting digital holography,” Appl. Phys. Lett. 85(6), 1069 (2004). [CrossRef]
  11. J. Ville, “Theory and applications of the notion of complex signal,” RAND Corp., Santa Monica, CA, Tech. Rep. T-92 (1958).
  12. H. Kwok, D. Jones, “Improved instantaneous frequency estimation using an adaptive short-time Fourier transform,” IEEE Trans. Signal Process. 48(10), 2964–2972 (2000). [CrossRef]
  13. I. Daubechies, “The wavelet transform, time-frequency localization and signal analysis,” IEEE Trans. Inf. Theory 36(5), 961–1005 (1990). [CrossRef]
  14. Z. Peng, G. Meng, F. Chu, Z. Lang, W. Zhang, Y. Yang, “Polynomial chirplet transform with application to instantaneous frequency estimation,” IEEE Trans. Instrum. Meas. 60(9), 3222–3229 (2011). [CrossRef]
  15. P. O'Shea, B. Boashash, “Instantaneous frequency estimation using the cross Wigner-Ville distribution with application to nonstationary transient detection,” Acoustics, Speech, and Signal Processing 5, 2887–2890 (1990). [CrossRef]
  16. L. R. Watkins, S. M. Tan, T. H. Barnes, “Determination of interferometer phase distributions by use of wavelets,” Opt. Lett. 24(13), 905–907 (1999). [CrossRef] [PubMed]
  17. S. Gorthi, P. Rastogi, “Fringe projection techniques: Whither we are?” Opt. Lasers Eng. 48(2), 133–140 (2010). [CrossRef]
  18. A. Asundi, Z. Wensen, “Fast phase-unwrapping algorithm based on a gray-scale mask and flood fill,” Appl. Opt. 37(23), 5416–5420 (1998). [CrossRef] [PubMed]

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