Image encryption scheme based on the commutation and anti-commutation rules

被引:25
作者
Liu, Zhengjun [1 ]
Ahmad, Muhammad Ashfaq
Liu, Shutian
机构
[1] Harbin Inst Technol, Dept Phys, Harbin 150001, Peoples R China
[2] COMSATS Inst Informat Technol, Dept Phys, Lahore 54000, Pakistan
基金
中国国家自然科学基金;
关键词
fractional fourier transform; furier optics; iage encryption; commutation and anti-commutation rules;
D O I
10.1016/j.optcom.2007.07.045
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A novel image encryption algorithm based on the commutation and anti-commutation rules is proposed. An image can be encrypted into two images by superposing its two one-dimensional Fourier transforms or fractional Fourier transforms in horizontal and vertical directions according to the commutation and anti-commutation rules. The image gained with commutation rule can be regarded as the encrypted image and the other gained with anti-commutation rule as the decryption key. Numerical results have demonstrated its effectiveness and shown the enhancement in security with the fractional orders as the extra keys. An optical setup is also designed to implement the proposed scheme. (c) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码:285 / 290
页数:6
相关论文
共 19 条
[1]   MATRIX AND OTHER DIRECT METHODS FOR THE SOLUTION OF SYSTEMS OF LINEAR DIFFERENCE EQUATIONS [J].
BICKLEY, WG ;
MCNAMEE, J .
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1960, 252 (1005) :69-131
[2]   Digital image encryption and watermarking by phase-shifting interferometry [J].
Cai, LZ ;
He, MZ ;
Liu, Q ;
Yang, XL .
APPLIED OPTICS, 2004, 43 (15) :3078-3084
[3]   Multiple-phase retrieval for optical security systems by use of random-phase encoding [J].
Chang, HT ;
Lu, WC ;
Kuo, CJ .
APPLIED OPTICS, 2002, 41 (23) :4825-4834
[4]   Optical image encryption based on fractional wavelet transform [J].
Chen, LF ;
Zhao, DM .
OPTICS COMMUNICATIONS, 2005, 254 (4-6) :361-367
[5]   HESSENBERG-SCHUR METHOD FOR THE PROBLEM AX+XB=C [J].
GOLUB, GH ;
NASH, S ;
VANLOAN, C .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1979, 24 (06) :909-913
[6]   Optical image encryption based on XOR operations [J].
Han, JW ;
Park, CS ;
Ryu, DH ;
Kim, ES .
OPTICAL ENGINEERING, 1999, 38 (01) :47-54
[7]   Optical image encryption by random shifting in fractional Fourier domains [J].
Hennelly, B ;
Sheridan, JT .
OPTICS LETTERS, 2003, 28 (04) :269-271
[8]   Optical security system with Fourier plane encoding [J].
Javidi, B ;
Ahouzi, E .
APPLIED OPTICS, 1998, 37 (26) :6247-6255
[9]   Information hiding technique with double phase encoding [J].
Kishk, S ;
Javidi, B .
APPLIED OPTICS, 2002, 41 (26) :5462-5470
[10]   Optimal key mask design for optical encryption based on joint transform correlator architecture [J].
Lin, LC ;
Cheng, CJ .
OPTICS COMMUNICATIONS, 2006, 258 (02) :144-154