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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 45, Iss. 25 — Sep. 1, 2006
  • pp: 6381–6387

Three-dimensional surface contouring of macroscopic objects by means of phase-difference images

Daniel Velásquez Prieto and Jorge Garcia-Sucerquia  »View Author Affiliations


Applied Optics, Vol. 45, Issue 25, pp. 6381-6387 (2006)
http://dx.doi.org/10.1364/AO.45.006381


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Abstract

We report a technique to determine the 3D contour of objects with dimensions of at least 4 orders of magnitude larger than the illumination optical wavelength. Our proposal is based on the numerical reconstruction of the optical wave field of digitally recorded holograms. The required modulo 2 π phase map in any contouring process is obtained by means of the direct subtraction of two phase-contrast images under different illumination angles to create a phase-difference image of a still object. Obtaining the phase-difference images is only possible by using the capability of numerical reconstruction of the complex optical field provided by digital holography. This unique characteristic leads us to a robust, reliable, and fast procedure that requires only two images. A theoretical analysis of the contouring system is shown, with verification by means of numerical and experimental results.

© 2006 Optical Society of America

OCIS Codes
(090.0090) Holography : Holography
(100.5070) Image processing : Phase retrieval
(120.4290) Instrumentation, measurement, and metrology : Nondestructive testing
(120.6650) Instrumentation, measurement, and metrology : Surface measurements, figure

History
Original Manuscript: December 12, 2005
Manuscript Accepted: April 16, 2006

Citation
Daniel Velásquez Prieto and Jorge Garcia-Sucerquia, "Three-dimensional surface contouring of macroscopic objects by means of phase-difference images," Appl. Opt. 45, 6381-6387 (2006)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-45-25-6381


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References

  1. D. C. Williams, Optical Methods in Engineering Metrology (Chapman & Hall, 1993).
  2. L. Chen and C. Quan, "Fringe projection profilometry with nonparallel illumination: a least-squares approach," Opt. Lett. 30, 2101-2103 (2005). [CrossRef] [PubMed]
  3. H. Cline, W. Lorensen, and A. Holik, "Automatic moire contouring," Appl. Opt. 23, 1454-1459 (1984). [CrossRef] [PubMed]
  4. O. Kafri and I. Glatt, The Physics of Moire Metrology (Wiley, 1990).
  5. B. Hildebrand and K. Haines, "Multiple-wavelength and multiple-source holography applied to contour generation," J. Opt. Soc. Am 57, 155-162 (1967).
  6. J. Zelenka and J. Varner, "Multiple-index holographic contouring," Appl. Opt. 8, 1431-1434 (1969). [CrossRef] [PubMed]
  7. P. DeMattia and V. Fossati-Bellani, "Holographic contouring by displacing the object and the illumination beam," Opt. Commun. 26, 17-21 (1978).
  8. R. Jones and C. Wykes, Holographic and Speckle Interferometry (Cambridge U. Press, 1983).
  9. K. Creath and J. Wyant, "Absolute measurement of surface roughness," Appl. Opt. 29, 3823-3827 (1990). [CrossRef] [PubMed]
  10. D. Malacara, M. Servín, and Z. Malacara, Interferogram Analysis for Optical Testing (Marcel Dekker, 1998).
  11. L. P. Yaroslavskii and N. S. Merzlyakov, Methods of Digital Holography (Consultants Bureau, 1989), translated from Russian by D. Parsons.
  12. U. Schnars and W. P. O. Juptner, "Digital recording and numerical reconstruction of holograms," Meas. Sci. Technol. 13, R85-R101 (2002) and the reference therein.
  13. U. Schnars and W. P. Jueptner, Digital Holography (Springer-Verlag, 2005).
  14. Y. Zou, G. Pedrini, and H. J. Tiziani, "Surface contouring in a video frame by changing the wavelength of a diode laser," Opt. Eng. 35, 1074-1079 (1996).
  15. C. Wagner, W. Osten, and S. Seebacher, "Direct shape measurement by digital wavefront reconstruction and multiwavelength contouring," Opt. Eng. 39, 79-85 (2000).
  16. I. Yamaguchi, S. Ohta, and J. Kato, "Surface contouring by phase-shifting digital holography," Opt. Lasers Eng. 36, 417-428 (2001).
  17. T. Zhang and I. Yamaguchi, "Three-dimensional microscopy with phase-shifting digital holography," Opt. Lett. 23, 1221-1223 (1998). [CrossRef]
  18. G. Pedrini, P. Froning, H. J. Tiziani, and F. Mendoza Santoyo, "Shape measurement of microscopic structures using digital holograms," Opt. Commun. 164, 257-268 (1999).
  19. L. Z. Cai, Q. Liu, X. L. Yang, and Y. R. Wang, "Sensitivity adjustable contouring by digital holography and a virtual reference wavefront," Opt. Commun. 221, 49-54 (2003).
  20. E. Cuche, F. Bevilacqua, and C. Depeursinge, "Digital holography for quantitative phase-contrast imaging," Opt. Lett. 24, 291-293 (1999). [CrossRef]
  21. J. Gass, A. Dakoff, and M. K. Kim, "Phase imaging without 2π ambiguity by multiwavelength digital holography," Opt. Lett. 28, 1141-1143 (2003). [CrossRef] [PubMed]
  22. M. Sebesta and M. Gustafsson, "Object characterization with refractometric digital Fourier holography," Opt. Lett. 30, 471-473 (2005). [CrossRef] [PubMed]
  23. R. Colier, C. Burckhardt, and L. Lin, Optical Holography (Academic, 1971).
  24. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1968).

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