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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 10 — May. 15, 2006
  • pp: 4286–4299

Motion compensation and noise tolerance in phase-shifting digital in-line holography

Michael D. Stenner and Mark A. Neifeld  »View Author Affiliations


Optics Express, Vol. 14, Issue 10, pp. 4286-4299 (2006)
http://dx.doi.org/10.1364/OE.14.004286


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Abstract

We present a technique for phase-shifting digital in-line holography which compensates for lateral object motion. By collecting two frames of interference between object and reference fields with identical reference phase, one can estimate the lateral motion that occurred between frames using the cross-correlation. We also describe a very general linear framework for phase-shifting holographic reconstruction which minimizes additive white Gaussian noise (AWGN) for an arbitrary set of reference field amplitudes and phases. We analyze the technique’s sensitivity to noise (AWGN, quantization, and shot), errors in the reference fields, errors in motion estimation, resolution, and depth of field. We also present experimental motion-compensated images achieving the expected resolution.

© 2006 Optical Society of America

OCIS Codes
(090.2880) Holography : Holographic interferometry
(110.6880) Imaging systems : Three-dimensional image acquisition

ToC Category:
Holography

History
Original Manuscript: February 27, 2006
Revised Manuscript: April 27, 2006
Manuscript Accepted: April 27, 2006
Published: May 15, 2006

Citation
Michael D. Stenner and Mark A. Neifeld, "Motion compensation and noise tolerance in phase-shifting digital in-line holography," Opt. Express 14, 4286-4299 (2006)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-14-10-4286


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References

  1. T. Kreis, Handbook of Holographic Interferometry (Wiley-VCH, Weinheim, 2005).
  2. J. W. Goodman, Introduction to Fourier Optics, 3rd ed. (Roberts & Company, Greenwood Village, 2004).
  3. I. Yamaguchi and T. Zhang, "Phase-shifting digital holography," Opt. Lett. 22, 1268-1270 (1997). [CrossRef] [PubMed]
  4. S. Lai, B. King, and M. A. Neifeld, "Wave front reconstruction by means of phase-shifting digital in-line holography," Opt. Commun. 173, 155-160 (2000). [CrossRef]
  5. K. Larkin, "A self-calibrating phase-shifting algorithm based on the natural demodulation of two-dimensional fringe patterns," Opt. Express 9, 236-253 (2001). [CrossRef] [PubMed]
  6. R. C. Hardie, K. J. Barnard, J. G. Bognar, E. E. Armstrong, and E. A. Watson, "High-resolution image reconstruction from a sequence of rotated and translated frames and its application to an infrared imaging system," Opt. Eng. 37, 247-260 (1998). [CrossRef]

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