Double-image encryption by using chaos-based local pixel scrambling technique and gyrator transform

Abstract A novel double-image encryption algorithm is proposed by using chaos-based local pixel scrambling technique and gyrator transform. Two original images are first regarded as the amplitude and phase of a complex function. Arnold transform is used to scramble pixels at a local area of the complex function, where the position of the scrambled area and the Arnold transform frequency are generated by the standard map and logistic map respectively. Then the changed complex function is converted by gyrator transform. The two operations mentioned will be implemented iteratively. The system parameters in local pixel scrambling and gyrator transform serve as the keys of this encryption algorithm. Numerical simulation has been performed to test the validity and the security of the proposed encryption algorithm.

[1]  Xiao Zou,et al.  Multiple images encryption based on Fourier transform hologram , 2012 .

[2]  Narendra Singh,et al.  Optical image encryption using fractional Fourier transform and chaos , 2008 .

[3]  M. L. Calvo,et al.  Gyrator transform: properties and applications. , 2007, Optics express.

[4]  Linfei Chen,et al.  Optical image encryption with Hartley transforms. , 2006, Optics letters.

[5]  Muhammad Rafiq Abuturab Securing color information using Arnold transform in gyrator transform domain , 2012 .

[6]  Qing Liu,et al.  Digital image encryption and watermarking by phase-shifting interferometry. , 2004, Applied optics.

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

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

[9]  Daomu Zhao,et al.  Color image hiding based on the phase retrieval technique and Arnold transform. , 2011, Applied optics.

[10]  Di Xiao,et al.  Double optical image encryption using discrete Chirikov standard map and chaos-based fractional random transform , 2013 .

[11]  Wen-Nung Lie,et al.  Multiple-image encryption and multiplexing using a modified Gerchberg-Saxton algorithm and phase modulation in Fresnel-transform domain. , 2009, Optics letters.

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

[13]  Zhengjun Liu,et al.  Double image encryption by using Arnold transform and discrete fractional angular transform , 2012 .

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

[15]  Meng Yang,et al.  Image encryption based on the random rotation operation in the fractional Fourier transform domains , 2012 .

[16]  Jun Lang,et al.  Image encryption based on the reality-preserving multiple-parameter fractional Fourier transform and chaos permutation , 2012 .

[17]  Zhengjun Liu,et al.  Double image encryption scheme by using random phase encoding and pixel exchanging in the gyrator transform domains , 2013 .

[18]  Muhammad Rafiq Abuturab,et al.  Color image security system based on discrete Hartley transform in gyrator transform domain , 2013 .

[19]  Lu-Zhong Cai,et al.  Information security system by iterative multiple-phase retrieval and pixel random permutation. , 2006, Applied optics.

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

[21]  Daomu Zhao,et al.  Double images encryption method with resistance against the specific attack based on an asymmetric algorithm. , 2012, Optics express.

[22]  Kwok-Wo Wong,et al.  A Fast Image Encryption Scheme based on Chaotic Standard Map , 2006, ArXiv.

[23]  Ting-Chung Poon,et al.  Multiple-image encryption by compressive holography. , 2012, Applied optics.

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

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

[26]  Liansheng Sui,et al.  Color image encryption based on gyrator transform and Arnold transform , 2013 .

[27]  Jingjuan Zhang,et al.  Double random-phase encoding in the Fresnel domain. , 2004, Optics letters.

[28]  C. Chui,et al.  A symmetric image encryption scheme based on 3D chaotic cat maps , 2004 .

[29]  Muhammad Rafiq Abuturab Noise-free recovery of color information using a joint-extended gyrator transform correlator , 2013 .

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

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

[32]  Jingjuan Zhang,et al.  Multiple-image hiding by information prechoosing. , 2008, Optics letters.

[33]  A. Pisarchik,et al.  Image encryption with chaotically coupled chaotic maps , 2008 .

[34]  Zhengjun Liu,et al.  Image encryption algorithm by using fractional Fourier transform and pixel scrambling operation based on double random phase encoding , 2013 .

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

[36]  B Javidi,et al.  Optoelectronic information encryption with phase-shifting interferometry. , 2000, Applied optics.

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

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

[39]  Huijuan Li,et al.  Information security system based on iterative multiple-phase retrieval in gyrator domain , 2008 .

[40]  Kuang Tsan Lin Information hiding based on binary encoding methods and pixel scrambling techniques. , 2010, Applied optics.

[41]  Zhengjun Liu,et al.  Image hiding scheme by use of rotating squared sub-image in the gyrator transform domains , 2013 .

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

[43]  Guanrong Chen,et al.  From Chaos To Order Methodologies, Perspectives and Applications , 1998 .

[44]  Huijuan Li,et al.  Double-image encryption based on discrete fractional random transform and chaotic maps , 2011 .

[45]  J. Fridrich Symmetric Ciphers Based on Two-Dimensional Chaotic Maps , 1998 .

[46]  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.

[47]  Zhengjun Liu,et al.  Color image encryption by using the rotation of color vector in Hartley transform domains , 2010 .

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