title: Phase reconstruction of digital holography with the peak of the two-dimensional Gabor wavelet transform.
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.
authors: Institute of Optoelectronic Engineering, Jinan University, Guangzhou 510632, China.
authors: Jiawen
authors: J
authors: Weng
authors: Jingang
authors: J
authors: Zhong
authors: Cuiying
authors: C
authors: Hu