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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 48, Iss. 18 — Jun. 20, 2009
  • pp: 3308–3316

Phase reconstruction of digital holography with the peak of the two-dimensional Gabor wavelet transform

Jiawen Weng, Jingang Zhong, and Cuiying Hu  »View Author Affiliations


Applied Optics, Vol. 48, Issue 18, pp. 3308-3316 (2009)
http://dx.doi.org/10.1364/AO.48.003308


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Abstract

We describe a numerical reconstruction technique for digital holography by means of the two- dimensional Gabor wavelet transform (2D-GWT). Applying the 2D-GWT to digital holography, the object wave can be reconstructed by calculating the wavelet coefficients of the hologram at the peak of the 2D-GWT automatically. At the same time the effect of the zero-order diffraction image and the twin image are eliminated without spatial filtering. Comparing the numerical reconstruction of a holographic image by the analysis of the one-dimensional Gabor wavelet transform (1D-GWT) with the 2D-GWT, we show that the 2D-GWT method is superior to the 1D-GWT method, especially when the fringes of the hologram are not just along the y direction. The theory and the results of a simulation and experiments are shown.

© 2009 Optical Society of America

OCIS Codes
(100.7410) Image processing : Wavelets
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(090.1995) Holography : Digital holography

ToC Category:
Holography

History
Original Manuscript: April 2, 2009
Revised Manuscript: May 25, 2009
Manuscript Accepted: May 26, 2009
Published: June 10, 2009

Citation
Jiawen Weng, Jingang Zhong, and Cuiying Hu, "Phase reconstruction of digital holography with the peak of the two-dimensional Gabor wavelet transform," Appl. Opt. 48, 3308-3316 (2009)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-48-18-3308

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