## 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

Full Article | PDF Article**OSA Recommended Articles**

Jiawen Weng, Jingang Zhong, and Cuiying Hu

Opt. Express **16**(26) 21971-21981 (2008)

Jiawen Weng, Jingang Zhong, and Cuiying Hu

Appl. Opt. **49**(2) 189-195 (2010)

Chandra Sekhar Seelamantula, Nicolas Pavillon, Christian Depeursinge, and Michael Unser

J. Opt. Soc. Am. A **28**(6) 983-992 (2011)