Fractional derivative Fourier plane filter for phase-change visualization

被引：37

作者：

Lancis, J ^{[1
]}

Szoplik, T ^{[1
]}

Tajahuerce, E ^{[1
]}

Climent, V ^{[1
]}

FernandezAlonso, M ^{[1
]}

机构：

[1] WARSAW UNIV, INST GEOPHYS, PL-02093 WARSAW, POLAND

来源：

APPLIED OPTICS | 1997年 / 36卷 / 29期

关键词：

optical signal processing; spatial filtering; image differentiation; phase retrieval; phase visualization;

D O I：

10.1364/AO.36.007461

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Fractional derivatives of two-dimensional images have been discussed theoretically in terms of Fourier optics and computer simulated. Filters that realize the half-order differentiation can be either complex or real. We prove, in terms of fractional calculus, that the semiderivative filter is useful for the visualization of phase changes in a phase object in such a way that the output-image intensity is directly proportional to the first derivative of the input object. We give computer-simulated results of one-dimensional semidifferentiating. (C) 1997 Optical Society of America.

引用

页码：7461 / 7464

页数：4

共 10 条

[1]

[Anonymous], 1979, Fractional Calculus and Integral Transforms of Generalized Functions

[2]

Bracewell R. N., 1986, FOURIER TRANSFORM IT, V31999

[3] PHASE IMAGE DIFFERENTIATION WITH LINEAR INTENSITY OUTPUT [J].

HORWITZ, BA .

APPLIED OPTICS, 1978, 17 (02) :181-186

[4] DIFFERENTIATION OF A NON-INTEGER ORDER AND ITS OPTICAL IMPLEMENTATION [J].

KASPRZAK, H .

APPLIED OPTICS, 1982, 21 (18) :3287-3291

[5]

Keith Oldham., 1974, FRACTIONAL CALCULUS

[6] IMAGE ROTATION, WIGNER ROTATION, AND THE FRACTIONAL FOURIER-TRANSFORM [J].

LOHMANN, AW .

JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1993, 10 (10) :2181-2186

[7]

MICHALSKI MW, 1993, DISS MATH, V328

[8] CONTINUOUS ORDER DERIVATIVE FOR OPTICAL SIGNALS AND IMAGES [J].

RABAL, H ;

ZERBINO, L ;

OJEDACASTANEDA, J .

MICROWAVE AND OPTICAL TECHNOLOGY LETTERS, 1988, 1 (02) :64-67

[9]

REYNOLDS GO, 1989, NEW PHYSICAL OPTICS, P424

[10] QUANTITATIVE VISUALIZATION OF LARGE VARIATION PHASE OBJECTS [J].

SPRAGUE, RA ;

THOMPSON, BJ .

APPLIED OPTICS, 1972, 11 (07) :1469-&

← 1 →