Double image encryption based on random phase encoding in the fractional Fourier domain

被引:210
作者
Tao, Ran [1 ]
Xin, Yi [1 ]
Wang, Yue [1 ]
机构
[1] Beijing Inst Technol, Dept Elect Engn, Beijing 100081, Peoples R China
关键词
D O I
10.1364/OE.15.016067
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A novel image encryption method is proposed by utilizing random phase encoding in the fractional Fourier domain to encrypt two images into one encrypted image with stationary white distribution. By applying the correct keys which consist of the fractional orders, the random phase masks and the pixel scrambling operator, the two primary images can be recovered without cross-talk. The decryption process is robust against the loss of data. The phase-based image with a larger key space is more sensitive to keys and disturbances than the amplitude-based image. The pixel scrambling operation improves the quality of the decrypted image when noise perturbation occurs. The novel approach is verified by simulations. (c) 2007 Optical Society of America.
引用
收藏
页码:16067 / 16079
页数:13
相关论文
共 28 条
[1]   Optical color image encryption by wavelength multiplexing and lensless Fresnel transform holograms [J].
Chen, Linfei ;
Zhao, Daomu .
OPTICS EXPRESS, 2006, 14 (19) :8552-8560
[2]   Optical image encryption by random shifting in fractional Fourier domains [J].
Hennelly, B ;
Sheridan, JT .
OPTICS LETTERS, 2003, 28 (04) :269-271
[3]   Extended fractional Fourier transforms [J].
Hua, JW ;
Liu, LR ;
Li, GQ .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 1997, 14 (12) :3316-3322
[4]   Fault tolerance properties of a double phase encoding encryption technique [J].
Javidi, B ;
Sergent, A ;
Zhang, GS ;
Guibert, L .
OPTICAL ENGINEERING, 1997, 36 (04) :992-998
[5]   Error-reduction techniques and error analysis for fully phase- and amplitude-based encryption [J].
Javidi, B ;
Towghi, N ;
Maghzi, N ;
Verrall, SC .
APPLIED OPTICS, 2000, 39 (23) :4117-4130
[6]   Optical image encryption with multistage and multichannel fractional Fourier-domain filtering [J].
Liu, ST ;
Mi, QL ;
Zhu, BH .
OPTICS LETTERS, 2001, 26 (16) :1242-1244
[7]   Double image encryption based on iterative fractional Fourier transform [J].
Liu, Zhengjun ;
Liu, Shutian .
OPTICS COMMUNICATIONS, 2007, 275 (02) :324-329
[8]   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
[9]   Encrypted optical memory system using three-dimensional keys in the Fresnel domain [J].
Matoba, O ;
Javidi, B .
OPTICS LETTERS, 1999, 24 (11) :762-764
[10]   Cross-talk-free double-image encryption and watermarking with amplitude-phase separate modulations [J].
Meng, XF ;
Cai, LZ ;
He, MZ ;
Dong, GY ;
Shen, XX .
JOURNAL OF OPTICS A-PURE AND APPLIED OPTICS, 2005, 7 (11) :624-631