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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 44, Iss. 7 — Mar. 1, 2005
  • pp: 1216–1225

Effects of quantization in phase-shifting digital holography

Godfrey A. Mills and Ichirou Yamaguchi  »View Author Affiliations


Applied Optics, Vol. 44, Issue 7, pp. 1216-1225 (2005)
http://dx.doi.org/10.1364/AO.44.001216


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Abstract

We discuss quantization effects of hologram recording on the quality of reconstructed images in phase-shifting digital holography. We vary bit depths of phase-shifted holograms in both numerical simulation and experiments and then derived the complex amplitude, which is subjected to Fresnel transformation for the image reconstruction. The influence of bit-depth limitation in quantization has been demonstrated in a numerical simulation for spot-array patterns with linearly varying intensities and a continuous intensity object. The objects are provided with uniform and random phase modulation. In experiments, digital holograms are originally recorded at 8 bits and the bit depths are changed to deliver holograms at bit depths of 1 to 8 bits for the image reconstruction. The quality of the reconstructed images has been evaluated for the different quantization levels.

© 2005 Optical Society of America

OCIS Codes
(040.1490) Detectors : Cameras
(040.1520) Detectors : CCD, charge-coupled device
(090.2880) Holography : Holographic interferometry
(100.2000) Image processing : Digital image processing
(110.3000) Imaging systems : Image quality assessment
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

History
Original Manuscript: August 31, 2004
Revised Manuscript: November 8, 2004
Manuscript Accepted: November 9, 2004
Published: March 1, 2005

Citation
Godfrey A. Mills and Ichirou Yamaguchi, "Effects of quantization in phase-shifting digital holography," Appl. Opt. 44, 1216-1225 (2005)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-44-7-1216


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References

  1. J. W. Goodman, R. W. Lawrence, “Digital image formation from electronically detected holograms,” Appl. Phys. Lett. 22, 77–79 (1967). [CrossRef]
  2. M. A. Kronrod, N. S. Merzlyakov, L. Yaroslavsky, “Reconstruction of a hologram with a computer,” Sov. Phys. Tech. Phys. 17, 333–334 (1972).
  3. U. Schnars, W. Jüptner, “Direct recording of hologram by a CCD target and numerical reconstruction,” Appl. Opt. 33, 179–181 (1994). [CrossRef] [PubMed]
  4. I. Yamaguchi, T. Zhang, “Phase-shifting digital holography,” Opt. Lett. 22, 1268–1270 (1997). [CrossRef] [PubMed]
  5. I. Yamaguchi, J.-I. Kato, S. Ohta, J. Mizuno, “Image formation in phase-shifting digital holography and application to microscopy,” Appl. Opt. 40, 6177–6186 (2001). [CrossRef]
  6. Y. Surrel, “Design of algorithms for phase measurements by the use of phase stepping,” Appl. Opt. 35, 51–60 (1996). [CrossRef] [PubMed]
  7. T. Zhang, I. Yamaguchi, “Three-dimensional microscopy with phase-shifting digital holography,” Opt. Lett. 23, 1211–1213 (1998). [CrossRef]
  8. C. P. Brophy, “Effect of intensity error correlation on the computed phase of phase-shifting interferometry,” J. Opt. Soc. Am. A 7, 537–541 (1990). [CrossRef]
  9. B. Zhao, Y. Surrel, “Effect of quantization error on the computed phase of phase-shifting measurements,” Appl. Opt. 36, 2070–2075 (1997). [CrossRef] [PubMed]
  10. O. A. Skydan, F. Lilley, M. J. Lalor, D. R. Burton, “Quantization error of CCD cameras and their influence on phase calculation in fringe pattern analysis,” Appl. Opt. 42, 5302–5307 (2003). [CrossRef] [PubMed]
  11. L. P. Yaroslavsky, Digital Holography and Digital Image Processing: Principles, Methods, Algorithms (Kluwer Academic, Dordrecht, The Netherlands, 2004), pp. 40–44 and pp. 541–573.
  12. F. Zhang, I. Yamaguchi, L. P. Yaroslavsky, “Algorithm for reconstruction of digital holograms with adjustable magnification,” Opt. Lett. 29, 1668–1670 (2004). [CrossRef] [PubMed]

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