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Applied Optics

Applied Optics


  • Vol. 37, Iss. 11 — Apr. 10, 1998
  • pp: 2046–2050

Filtering algorithm for noise reduction in phase-map images with 2π phase jumps

Rui Seara, Armando A. Gonçalves, Jr., and Policarpo B. Uliana  »View Author Affiliations

Applied Optics, Vol. 37, Issue 11, pp. 2046-2050 (1998)

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A filtering algorithm is proposed for processing images generated by TV holography that contain phase jumps and a high noise level. This algorithm first performs phase unwrapping without removing the noise. After that, it removes the noise by use of a conventional low-pass filter. The new approach allows for using low-pass filters with narrow passbands, leading to a better signal-to-noise ratio in the desired signal. Simulation results are presented and discussed. The new algorithm has been applied successfully under real conditions in a holographic station.

© 1998 Optical Society of America

OCIS Codes
(090.0090) Holography : Holography
(110.4280) Imaging systems : Noise in imaging systems
(350.5030) Other areas of optics : Phase

Original Manuscript: June 16, 1997
Revised Manuscript: November 12, 1997
Published: April 10, 1998

Rui Seara, Armando A. Gonçalves, and Policarpo B. Uliana, "Filtering algorithm for noise reduction in phase-map images with 2π phase jumps," Appl. Opt. 37, 2046-2050 (1998)

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  1. G. T. Reid, “Automatic fringe pattern analysis: a review,” Opt. Lasers Eng. 7, 37–68 (1986). [CrossRef]
  2. C. A. Sciammarela, G. Bhat, N. Longinow, M. Zhao, “A high accuracy micromechanics displacement measure optical technique,” in Proceedings of the Winter Annual Meeting of the American Society of Mechanical Engineers (American Society of Mechanical Engineers, New York, 1988), pp. 121–132.
  3. K. Itoh, “Analysis of the phase unwrapping algorithm,” Appl. Opt. 21, 2470 (1982). [CrossRef] [PubMed]
  4. D. J. Bone, A. Bachor, R. J. Sandeman, “Fringe-pattern analysis using a 2-D Fourier transform,” Appl. Opt. 25, 1653–1660 (1986). [CrossRef] [PubMed]
  5. E. Vikhagen, “Nondestructive testing by use of TV holography and deformation phase gradient calculation,” Appl. Opt. 29, 137–144 (1990). [CrossRef] [PubMed]
  6. A. A. Gonçalves, “Determination of displacements, strain and rotations from holographic interferometry data using 2-D fringe order function,” in Second International Conference on Photomechanics and Speckle Metrology: Moiré Techniques, Holographic Interferometry, Optical NDT, and Applications to Fluid Mechanics, F. Chiang, ed., Proc. SPIE1554B, 64–70 (1991).
  7. D. C. Ghiglia, G. A. Mastin, L. A. Romero, “Cellular-automata method for phase unwrapping,” J. Opt. Soc. Am. A 4, 267–280 (1987). [CrossRef]
  8. J. M. Huntley, “Noise-immune phase unwrapping algorithm,” Appl. Opt. 28, 3268–3270 (1989). [CrossRef] [PubMed]
  9. J. M. Huntley, H. Saldner, “Temporal phase-unwrapping algorithm for automated interferogram analysis,” Appl. Opt. 32, 3047–3052 (1993). [CrossRef] [PubMed]
  10. D. J. Bone, “Fourier fringe analysis: the two-dimensional phase unwrapping problem,” Appl. Opt. 30, 3627–3632 (1991). [CrossRef] [PubMed]
  11. R. Cusak, J. Huntley, H. Goldrein, “Improved noise-immune phase-unwrapping algorithm,” Appl. Opt. 34, 781–789 (1995). [CrossRef]
  12. D. C. Ghiglia, L. A. Romero, “Minimum Lp-norm two-dimensional phase unwrapping,” J. Opt. Soc. Am. A 13, 1999–2013 (1996). [CrossRef]
  13. M. A. Herráez, D. R. Burton, M. J. Lalor, D. B. Clegg, “Robust, simple, and fast algorithm for phase unwrapping,” Appl. Opt. 35, 5847–5852 (1996). [CrossRef]
  14. K. A. Stetson, J. Wahid, P. Gauthier, “Noise-immune phase unwrapping by use of calculated wrap regions,” Appl. Opt. 36, 4830–4838 (1997). [CrossRef] [PubMed]
  15. M. Lehmann, “Decorrelation-induced phase errors in phase-shifting speckle interferometry,” Appl. Opt. 36, 3667–3632 (1997). [CrossRef]
  16. A. A. Gonçalves, R. Seara, P. B. Uliana, “A new amplitude weighted filtering technique for noise reduction in images with 2π phase jumps,” in Interferometry: Techniques and Analysis II, O. Y. Kwon, G. M. Brown, M. Kujawinska, eds., Proc. SPIE2003, 312–322 (1993).
  17. T. W. Bushman, M. A. Gennert, R. J. Pryputniewicz, “Phase unwrapping by least squares error minimization of phase curvature,” in Interferometry: Techniques and Analysis II, O. Y. Kwon, G. M. Brown, M. Kujawinska, eds., Proc. SPIE2003, 334–348 (1993).
  18. M. D. Pritt, J. S. Shipman, “Least-squares two dimensional phase unwrapping using FFT’s,” IEEE Trans. Geosci. Remote. Sens. 32, 706–708 (1994). [CrossRef]
  19. B. Friedlander, J. M. Francos, “Model based phase unwrapping of 2-D signals,” IEEE Trans. Signal Process. 44, 2999–3007 (1996). [CrossRef]
  20. A. A. Gonçalves, “Holographic station: a practical system for applying TV holography,” in Interferometry VI: Applications, Proc. SPIE2004, 215–223 (1993).

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