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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 8 — Aug. 1, 2007
  • pp: 2372–2382

Blind color isolation for color-channel-based fringe pattern profilometry using digital projection

Yingsong Hu, Jiangtao Xi, Joe Chicharo, and Zongkai Yang  »View Author Affiliations

JOSA A, Vol. 24, Issue 8, pp. 2372-2382 (2007)

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We present an algorithm for estimating the color demixing matrix based on the color fringe patterns captured from the reference plane or the surface of the object. The advantage of this algorithm is that it is a blind approach to calculating the demixing matrix in the sense that no extra images are required for color calibration before performing profile measurement. Simulation and experimental results convince us that the proposed algorithm can significantly reduce the influence of the color cross talk and at the same time improve the measurement accuracy of the color-channel-based phase-shifting profilometry.

© 2007 Optical Society of America

OCIS Codes
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.6650) Instrumentation, measurement, and metrology : Surface measurements, figure
(150.6910) Machine vision : Three-dimensional sensing

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: June 1, 2006
Revised Manuscript: February 2, 2007
Manuscript Accepted: March 13, 2007
Published: July 11, 2007

Yingsong Hu, Jiangtao Xi, Joe Chicharo, and Zongkai Yang, "Blind color isolation for color-channel-based fringe pattern profilometry using digital projection," J. Opt. Soc. Am. A 24, 2372-2382 (2007)

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  1. M. Takeda and K. Mutoh, "Fourier transform profilometry for the automatic measurement of 3-D object shapes," Appl. Opt. 22, 3977-3982 (1983). [CrossRef] [PubMed]
  2. M. Takeda, H. Ina, and S. Kobayashi, "Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry," J. Opt. Soc. Am. 72, 156-160 (1982). [CrossRef]
  3. R. J. Green, J. G. Walker, and D. W. Robinson, "Investigation of the Fourier-transform method of fringe pattern analysis," Opt. Lasers Eng. 8, 29-44 (1988). [CrossRef]
  4. X. Su and W. Chen, "Fourier transform profilometry: a review," Opt. Lasers Eng. 35, 263-284 (2001). [CrossRef]
  5. J. Yi and S. Huang, "Modified Fourier transform profilometry for the measurement of 3-D steep shapes," Opt. Lasers Eng. 27, 493-505 (1997). [CrossRef]
  6. X. Su, W. Chen, Q. Zhang, and Y. Chao, "Dynamic 3-D shape measurement method based on ftp," Opt. Lasers Eng. 36, 49-64 (2001). [CrossRef]
  7. V. Srinivasan, H. Liu, and M. Halioua, "Automated phase-measuring profilometry of 3-D diffuse objects," Appl. Opt. 23, 3105-3108 (1984). [CrossRef] [PubMed]
  8. X. Su, W. Zhou, G. von Bally, and D. Vukicevic, "Automated phase-measuring profilometry using defocused projection of ronchi grating," Opt. Commun. 94, 561-573 (1992). [CrossRef]
  9. H. Su, J. Li, and X. Su, "Phase algorithm without the influence of carrier frequency," Opt. Eng. (Bellingham) 36, 1799-1805 (1997). [CrossRef]
  10. S. Toyooka and Y. Iwaasa, "Automatic profilometry of 3-D diffuse objects by spatial phase detection," Appl. Opt. 25, 1630-1633 (1986). [CrossRef] [PubMed]
  11. R. Rodriguez-Vera and M. Servin, "Phase locked loop profilometry," Opt. Laser Technol. 26, 393-398 (1994). [CrossRef]
  12. A. J. Moore and F. Mendoza-Santoyo, "Phase demodulation in the space domain without a fringe carrier," Opt. Lasers Eng. 23, 319-330 (1995). [CrossRef]
  13. J. Villa, M. Servin, and L. Castillo, "Profilometry for the measurement of 3-D object shapes based on regularized filters," Opt. Commun. 161, 13-18 (1999). [CrossRef]
  14. P. Huang, Q. Ho, F. Jin, and F. Chiang, "Colour-enhanced digitial fringe projection technique for high-speed 3-D surface contouring," Opt. Eng. (Bellingham) 38, 1065-1071 (1999). [CrossRef]
  15. L. Kinell, "Multichannel method for absolute shape measurement using projected fringes," Opt. Lasers Eng. 41, 57-71 (2004). [CrossRef]
  16. Y. Hu, J. Xi, E. Li, J. Chicharo, and Z. Yang, "A calibration approach for decoupling colour cross-talk using nonlinear blind signal separation network," in Proceedings of IEEE Conference on Optoelectronic and Microelectronic Materials and Devices (COMMAD) (IEEE, 2004), pp. 265-268. [PubMed]
  17. F. Berryman, P. Pynsent, and J. Cubillo, "A theoretical comparison of three fringe analysis method for determining the three dimensional shape of an object in the presence of noise," Opt. Lasers Eng. 39, 35-50 (2003). [CrossRef]
  18. K. Hibino, B. F. Oreb, and D. I. Farrant, "Phase shifting for nonsinusoidal waveforms with phase-shift errors," J. Opt. Soc. Am. A 12, 761-768 (1995). [CrossRef]
  19. J. E. Greivenkamp, "Generalized data reduction for heterodyne interferometry," Opt. Eng. (Bellingham) 23, 350-352 (1984).
  20. G. Stoilov and T. Dragostinov, "Phase-stepping interferometry: five-frame algorithm with an aribitrary step," Opt. Lasers Eng. 28, 61-69 (1997). [CrossRef]
  21. G.-S. Han and S.-W. Kim, "Numerical correction of reference phases in phase-shifting interferometry by iterative least-squares fitting," Appl. Opt. 33, 7321-7325 (1994). [CrossRef] [PubMed]
  22. G. Lai and T. Yatagai, "Generalized phase-shifting interferometry," J. Opt. Soc. Am. A 8, 822-827 (1991). [CrossRef]
  23. X. Chen, M. Gramaglia, and J. A. Yeazell, "Phase-shifting interferometry with uncalibrated phase shifts," Appl. Opt. 39, 585-591 (2000). [CrossRef]
  24. H. Kadono, Y. Bitoh, and S. Toyooka, "Statistical interferometry based on a fully developed speckle field: an experimental demonstration with noise analysis," J. Opt. Soc. Am. A 18, 1267-1274 (2001). [CrossRef]
  25. C. S. Guo and L. Zhang, "Phase-shifting error and its elimination in phase-shifting digital holography," Opt. Lett. 27, 1687-1689 (2002). [CrossRef]
  26. L. Z. Cai, Q. Liu, and X. L. Yang, "Phase-shift extraction and wave-front reconstruction in phase-shifting interferometry with arbitrary phase steps," Opt. Lett. 28, 1808-1810 (2003). [CrossRef]
  27. L. Z. Cai, Q. Liu, and X. L. Yang, "Generalized phase-shifting interferometry with arbitrary unknown phase steps for diffraction objects," Opt. Lett. 29, 183-185 (2004). [CrossRef]
  28. Y. Hu, J. Xi, E. Li, J. Chicharo, and Z. Yang, "Three-dimensional profilometry based on shift estimation of projected fringe patterns," Appl. Opt. 45, 678-687 (2006). [CrossRef]

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