Abstract
The nonsubsampled contourlet transform (NSCT) is a fully shift-invariant, multiscale, and multidirectional expansion implemented in optics using the Fourier transform of its filters. In this paper, we propose a novel optical NSCT filter design method and the corresponding post-processing method to avoid the use of holographic techniques. The novel optical NSCT filter has real and non-negative Fourier transforms. The input image is placed in the input plane of the VanderLugt correlator, and these real and non-negative Fourier transform NSCT filters are placed in the frequency plane of the VanderLugt correlator. Next, the NSCT result is captured by a CCD in the output plane of the VanderLugt correlator, and its perfect reconstruction is theoretically possible, which is demonstrated by both simulation and optical experiment.
© 2016 Optical Society of America
Full Article | PDF ArticleMore Like This
Sikun Li, Xiangzhao Wang, Feng Tang, Yang Bu, and Osami Sasaki
Appl. Opt. 55(27) 7718-7725 (2016)
Dongmei Liu, Faliang Chang, and Chunsheng Liu
J. Opt. Soc. Am. A 33(8) 1430-1441 (2016)
Denis Lebrun, Samir Belaïd, and Cafer Özkul
Appl. Opt. 38(17) 3730-3734 (1999)