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