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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 17 — Aug. 16, 2010
  • pp: 17591–17596

Method of multiple references for 3D imaging with Fourier transform interferometry

Evan Lally, Jianmin Gong, and Anbo Wang  »View Author Affiliations

Optics Express, Vol. 18, Issue 17, pp. 17591-17596 (2010)

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This letter presents an improved phase referencing technique, called Method of Multiple References, for optical profilometry. Based on a lookup table, the method eliminates several major drawbacks of single-reference Fourier Transform Interferometry by enabling surface error correction for steep slopes and step discontinuities, and by allowing mapping of multiple discrete objects using a single image set. The algorithm is tested using a fiber optic coupler-based FTI system and shown to have RMS surface error less than 0.03mm.

© 2010 OSA

OCIS Codes
(110.2350) Imaging systems : Fiber optics imaging
(110.6880) Imaging systems : Three-dimensional image acquisition
(110.3175) Imaging systems : Interferometric imaging
(110.2650) Imaging systems : Fringe analysis

ToC Category:
Imaging Systems

Original Manuscript: March 25, 2010
Revised Manuscript: June 3, 2010
Manuscript Accepted: June 28, 2010
Published: August 2, 2010

Evan Lally, Jianmin Gong, and Anbo Wang, "Method of multiple references for 3D imaging with Fourier transform interferometry," Opt. Express 18, 17591-17596 (2010)

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  1. F. Chen, G. Brown, and M. M. Song, “Overview of three-dimensional shape measurement using optical methods,” Opt. Eng. 39(1), 10–22 (2000). [CrossRef]
  2. T. L. Pennington, H. Xiao, R. May, and A. Wang, “Miniaturized 3-D surface profilometer using a fiber optic coupler,” Opt. Laser Technol. 33(5), 313–320 (2001). [CrossRef]
  3. M. Takeda and K. Mutoh, “Fourier transform profilometry for the automatic measurement of 3-D object shapes,” Appl. Opt. 22(24), 3977–3982 (1983). [CrossRef] [PubMed]
  4. T. Judge, “A review of phase unwrapping techniques in fringe analysis,” Opt. Lasers Eng. 21(4), 199–239 (1994). [CrossRef]
  5. T. L. Pennington, “Miniaturized 3-D Mapping System Using a Fiber Optic Coupler as a Young's Double Pinhole Interferometer,” PhD, Electrical Engineering, Virginia Tech, Blacksburg (2000).
  6. D. C. Ghiglia, G. A. Mastin, and L. A. Romero, “Cellular-automata method for phase unwrapping,” J. Opt. Soc. Am. A 4(1), 267–280 (1987). [CrossRef]
  7. J. M. Huntley, “Noise-immune phase unwrapping algorithm,” Appl. Opt. 28(16), 3268–3270 (1989). [CrossRef] [PubMed]
  8. H. E. Cline, W. E. Lorensen, and A. S. Holik, “Automatic moire contouring,” Appl. Opt. 23(10), 1454–1459 (1984). [CrossRef] [PubMed]
  9. H. O. Saldner and J. M. Huntley, “Profilometry using temporal phase unwrapping and a spatial light modulator-based fringe projector,” Opt. Eng. 36(2), 610–615 (1997). [CrossRef]
  10. K. Itoh, “Analysis of the phase unwrapping algorithm,” Appl. Opt. 21(14), 2470 (1982). [CrossRef] [PubMed]
  11. W. W. Macy., “Two-dimensional fringe-pattern analysis,” Appl. Opt. 22(23), 3898–3901 (1983). [CrossRef] [PubMed]

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