Double image encryption based on phase-amplitude mixed encoding and multistage phase encoding in gyrator transform domains

Abstract We present a novel method for double image encryption that is based on amplitude–phase mixed encoding and multistage random phase encoding in gyrator transform (GT) domains. In the amplitude–phase mixed encoding operation, a random binary distribution matrix is defined to mixed encode two primitive images to a single complex-valued image, which is then encrypted into a stationary white noise distribution by the multistage phase encoding with GTs. Compared with the earlier methods that uses fully phase encoding, the proposed method reduces the difference between two primitive images in key space and sensitivity to the GT orders. The primitive images can be recovered exactly by applying correct keys with initial conditions of chaotic system, the GT orders and the pixel scrambling operation. Numerical simulations demonstrate that the proposed scheme has considerably high security level and certain robustness against data loss and noise disturbance.

[1]  Jinpeng Ma,et al.  Fast algorithm of discrete gyrator transform based on convolution operation , 2011 .

[2]  Mingguang Shan,et al.  Double image encryption using double pixel scrambling and random phase encoding , 2012 .

[3]  Jianhua Wu,et al.  Novel image encryption algorithm based on multiple-parameter discrete fractional random transform , 2010 .

[4]  G. Unnikrishnan,et al.  Optical encryption by double-random phase encoding in the fractional Fourier domain. , 2000, Optics letters.

[5]  Kehar Singh,et al.  Double random fractional Fourier domain encoding for optical security , 2000 .

[6]  Roberto Torroba,et al.  Noise-free recovery of optodigital encrypted and multiplexed images. , 2010, Optics letters.

[7]  Wei Liu,et al.  Image encryption algorithm based on the random local phase encoding in gyrator transform domains , 2012 .

[8]  Wen Chen,et al.  Space-based optical image encryption. , 2010, Optics express.

[9]  Bahram Javidi,et al.  Fault tolerance properties of a double phase encoding encryption technique , 1997 .

[10]  Jingjuan Zhang,et al.  Multiple-image encryption by wavelength multiplexing. , 2005, Optics letters.

[11]  Mingguang Shan,et al.  Fractional Fourier-domain random encoding and pixel scrambling technique for double image encryption , 2012 .

[12]  B Javidi,et al.  Optical image encryption based on input plane and Fourier plane random encoding. , 1995, Optics letters.

[13]  Peng Zhang,et al.  Known-plaintext attack on optical encryption based on double random phase keys. , 2006, Optics letters.

[14]  Yan Zhang,et al.  Optical encryption based on iterative fractional Fourier transform , 2002 .

[15]  Bahram Javidi,et al.  Resistance of the double random phase encryption against various attacks. , 2007, Optics express.

[16]  Qu Wang,et al.  Enhancement of interference-based image encryption using chaotic permutation and phase-blend operation , 2012 .

[17]  Xudong Chen,et al.  Optical image encryption based on diffractive imaging. , 2010, Optics letters.

[18]  John T. Sheridan,et al.  Optical image encryption by random shifting in fractional Fourier domains. , 2003, Optics letters.

[19]  Xingyuan Wang,et al.  Color image encryption using spatial bit-level permutation and high-dimension chaotic system , 2011 .

[20]  Myungjin Cho,et al.  Information authentication using photon-counting double-random-phase encrypted images. , 2011, Optics letters.

[21]  Kehar Singh,et al.  Optical image encryption using a jigsaw transform for silhouette removal in interference-based methods and decryption with a single spatial light modulator. , 2011, Applied optics.

[22]  Ting Liu,et al.  Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains , 2011 .

[23]  Chenggen Quan,et al.  Optical color image encryption based on Arnold transform and interference method , 2009 .

[24]  Arturo Carnicer,et al.  Vulnerability to chosen-cyphertext attacks of optical encryption schemes based on double random phase keys. , 2005, Optics letters.

[25]  Jifeng Li,et al.  Optical image encryption based on multistage fractional Fourier transforms and pixel scrambling technique , 2005 .

[26]  Ran Tao,et al.  Double image encryption based on random phase encoding in the fractional Fourier domain. , 2007, Optics express.

[27]  Bahram Javidi,et al.  Photon-counting double-random-phase encoding for secure image verification and retrieval , 2012 .

[28]  John T. Sheridan,et al.  Random phase and jigsaw encryption in the Fresnel domain , 2004 .

[29]  Zhengjun Liu,et al.  Image encryption scheme by using iterative random phase encoding in gyrator transform domains , 2011 .

[30]  José A Rodrigo,et al.  Optical system design for orthosymplectic transformations in phase space. , 2006, Journal of the Optical Society of America. A, Optics, image science, and vision.

[31]  Huijuan Li,et al.  Double-image encryption based on iterative gyrator transform , 2008 .

[32]  Jingjuan Zhang,et al.  Position multiplexing for multiple-image encryption , 2006 .

[33]  Xiuwen Wang,et al.  Multiple image encryption and watermarking by random phase matching , 2005 .

[34]  Li-Hua Gong,et al.  Novel optical image encryption scheme based on fractional Mellin transform , 2011 .

[35]  Mohammad A. Karim,et al.  Color image encryption using double random phase encoding , 1999 .

[36]  Roberto Torroba,et al.  Master key generation to avoid the use of an external reference wave in an experimental JTC encrypting architecture. , 2012, Applied optics.

[37]  Zhengjun Liu,et al.  Double image encryption based on iterative fractional Fourier transform , 2007 .

[38]  Peng Zhang,et al.  Chosen-plaintext attack on lensless double-random phase encoding in the Fresnel domain. , 2006, Optics letters.

[39]  Zhengjun Liu,et al.  Double image encryption by using iterative random binary encoding in gyrator domains. , 2010, Optics express.

[40]  José A Rodrigo,et al.  Experimental implementation of the gyrator transform. , 2007, Journal of the Optical Society of America. A, Optics, image science, and vision.

[41]  B Javidi,et al.  Encrypted optical memory system using three-dimensional keys in the Fresnel domain. , 1999, Optics letters.