Fractional Fourier plane image encryption technique using radial hilbert-, and Jigsaw transform

被引：22

作者：

Joshi, Madhusudan ^{[1
]}

Shakher, Chandra ^{[2
]}

Singh, Kehar ^{[3
]}

机构：

[1] IMT Manesar, Int Ctr Automot Technol, Gurgaon 122050, Haryana, India

[2] Indian Inst Technol, Instrument Design & Dev Ctr, New Delhi 110016, India

[3] Indian Inst Technol, Dept Phys, New Delhi 110016, India

来源：

OPTICS AND LASERS IN ENGINEERING | 2010年 / 48卷 / 7-8期

关键词：

Encryption; Decryption; Fractional Fourier transform; Hilbert transform; Jigsaw transform; OPTICAL ENCRYPTION; PHASE ENCRYPTION; DECRYPTION; INFORMATION;

D O I：

10.1016/j.optlaseng.2010.03.011

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

A new method for image encryption using integral order radial Hilbert transform (RHT) filter in the fractional Fourier transform (FRT) domain has been proposed. The technique is implemented using the popular double random phase encoding method in the fractional Fourier domain. The random phase masks (RPMs), integral orders of the RHT, fractional orders of FRT, and indices of the Jigsaw transform (IT) have been used as keys for encryption and decryption. Simulation results have been presented and the schematic representation for optical implementation has been proposed. The mean-square-error and signal-to-noise ratio between the decrypted image and the input image have been calculated for the correct as well as incorrect orders of the RHT. Effect of occlusion and noise on the performance of the proposed scheme has also been studied. The robustness of the technique has been verified against attack using partial windows of the correct random phase masks. Similar investigations have also been carried out for the chosen-, and the known-plain-text attacks. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：754 / 759

页数：6

共 27 条

[1] Color information processing (coding and synthesis) with fractional Fourier transforms and digital holography [J].

Chen, Linfei ;

Zhao, Daomu .

OPTICS EXPRESS, 2007, 15 (24) :16080-16089

[2] Image processing with the radial Hilbert transform: theory and experiments [J].

Davis, JA ;

McNamara, DE ;

Cottrell, DM ;

Campos, J .

OPTICS LETTERS, 2000, 25 (02) :99-101

[3] Resistance of the double random phase encryption against various attacks [J].

Frauel, Yann ;

Castro, Albertina ;

Naughton, Thomas J. ;

Javidi, Bahram .

OPTICS EXPRESS, 2007, 15 (16) :10253-10265

[4] Fractional-Fourier-transform calculation through the fast-Fourier-transform algorithm [J].

Garcia, J ;

Mas, D ;

Dorsch, RG .

APPLIED OPTICS, 1996, 35 (35) :7013-7018

[5] A half-blind color image hiding and encryption method in fractional Fourier domains [J].

Ge, Fan ;

Chen, Linfei ;

Zhao, Daomu .

OPTICS COMMUNICATIONS, 2008, 281 (17) :4254-4260

[6] Optical image encryption by random shifting in fractional Fourier domains [J].

Hennelly, B ;

Sheridan, JT .

OPTICS LETTERS, 2003, 28 (04) :269-271

[7] Securing information with optical technologies [J].

Javidi, B .

PHYSICS TODAY, 1997, 50 (03) :27-32

[8]

JAVIDI B, 2004, OPTICAL DIGITAL TECH

[9] Optical image encryption based on multichannel fractional Fourier transform and double random phase encoding technique [J].

Jin, Weimin ;

Yan, Caijie .

OPTIK, 2007, 118 (01) :38-41

[10] Image encryption and decryption using fractional Fourier transform and radial Hilbert transform [J].

Joshi, Madhusudan ;

Shakher, Chandra ;

Singh, Kehar .

OPTICS AND LASERS IN ENGINEERING, 2008, 46 (07) :522-526

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