Abstract
The classical Hilbert transform can be implemented optically as a spatial-filtering process, whereby half the Fourier spectrum is π-phase shifted. Recently the Hilbert transform was generalized. The generalized version, called the fractional Hilbert transform, is quite easy to implement optically if the input is one dimensional. Here we show how to implement the fractional Hilbert transform for two-dimensional inputs. Hence the new transform is now suitable for image processing.
© 1997 Optical Society of America
Full Article | PDF ArticleMore Like This
Jeffrey A. Davis, Dylan E. McNamara, and Don M. Cottrell
Appl. Opt. 37(29) 6911-6913 (1998)
Jianwen Hua, Liren Liu, and Guoqiang Li
Appl. Opt. 36(32) 8490-8492 (1997)
Aysegul Sahin, Haldun M. Ozaktas, and David Mendlovic
Appl. Opt. 37(11) 2130-2141 (1998)