Optical implementation of the fractional Hilbert transform for two-dimensional objects

被引:34
作者
Lohmann, AW
Tepichin, E
Ramirez, JG
机构
[1] National Institute of Astrophysics, Optics and Electronics, Puebla, 72000
来源
APPLIED OPTICS | 1997年 / 36卷 / 26期
关键词
fractional Hilbert transform; image processing;
D O I
10.1364/AO.36.006620
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The classical Hilbert transform mn he implemented optically as a spatial-filtering process, whereby half the Fourier spectrum is pi-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. (C) 1997 Optical Society of America.
引用
收藏
页码:6620 / 6626
页数:7
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