An asymmetric color image encryption method by using deduced gyrator transform

Abstract An encryption algorithm is proposed by using the properties of deduced gyrator transform (GT). After being transformed by the GT algorithm and multiplied by a phase distribution p * , the spectrum modulus of the input image is considered to be the encrypted image by further performing Fourier transformation. To resist the attack from iterative phase retrieval, the red, green and blue components of the input image is modulated by a random phase mask and then combined using convolution. The encryption result is real-valued, which is convenient for display, transmission and storage. In the decryption process, the three original color components can be recovered with decryption keys which are different from the encryption keys. An optoelectronic hybrid system for the encryption process is also presented. Computer simulations are presented to demonstrate its performance, and the security of the proposed system is analyzed as well.

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

[2]  Xiang Peng,et al.  Asymmetric cryptosystem based on phase-truncated Fourier transforms. , 2010, Optics letters.

[3]  Wei Liu,et al.  Optical color image hiding scheme based on chaotic mapping and Hartley transform , 2013 .

[4]  Xingbin Liu,et al.  Image encryption scheme based on fractional Mellin transform and phase retrieval technique in fractional Fourier domain , 2013 .

[5]  Naveen K. Nishchal,et al.  Known-plaintext attack on encryption domain independent optical asymmetric cryptosystem , 2013 .

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

[7]  Naveen K Nishchal,et al.  An optical encryption and authentication scheme using asymmetric keys. , 2014, Journal of the Optical Society of America. A, Optics, image science, and vision.

[8]  Jun Lang,et al.  Color image encryption based on color blend and chaos permutation in the reality-preserving multiple-parameter fractional Fourier transform domain , 2015 .

[9]  Ailing Tian,et al.  Single-channel color image encryption using phase retrieve algorithm in fractional Fourier domain , 2013 .

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

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

[12]  Li-Hua Gong,et al.  Novel color image encryption algorithm based on the reality preserving fractional Mellin transform , 2012 .

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

[14]  Muhammad Rafiq Abuturab.  Color information cryptosystem based on optical superposition principle and phase-truncated gyrator transform. , 2012, Applied optics.

[15]  Lin Zhang,et al.  Image encryption based on the multiple-order discrete fractional cosine transform , 2010 .

[16]  Chandra Shakher,et al.  Logarithms-based RGB image encryption in the fractional Fourier domain : A non-linear approach , 2009 .

[17]  Isha Mehra,et al.  Optical asymmetric image encryption using gyrator wavelet transform , 2015 .

[18]  Zhengjun Liu,et al.  Securing color image by using phase-only encoding in Fresnel domains , 2015 .

[19]  Li-Hua Gong,et al.  Novel single-channel color image encryption algorithm based on chaos and fractional Fourier transform , 2011 .

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

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

[22]  Muhammad Rafiq Abuturab,et al.  An asymmetric single-channel color image encryption based on Hartley transform and gyrator transform , 2015 .

[23]  Daomu Zhao,et al.  Single-channel color image encryption based on asymmetric cryptosystem , 2012 .

[24]  Naveen K Nishchal,et al.  Asymmetric color cryptosystem using polarization selective diffractive optical element and structured phase mask. , 2012, Applied optics.

[25]  Aloka Sinha,et al.  Optical image encryption using Hartley transform and logistic map , 2009 .

[26]  Linfei Chen,et al.  Optical image encryption with redefined fractional Hartley transform , 2008 .

[27]  Lu Xu,et al.  A novel bit-level image encryption algorithm based on chaotic maps , 2016 .

[28]  Hong Liu,et al.  Color image security system using chaos-based cyclic shift and multiple-order discrete fractional cosine transform , 2013 .

[29]  Naveen K. Nishchal,et al.  Fresnel domain nonlinear optical image encryption scheme based on Gerchberg-Saxton phase-retrieval algorithm. , 2014, Applied optics.

[30]  Wang Xin,et al.  Multiple-image encryption scheme based on cascaded fractional Fourier transform. , 2013, Applied optics.

[31]  Jun Lang.  Image encryption based on the reality-preserving multiple-parameter fractional Fourier transform , 2012 .

[32]  Chenggen Quan,et al.  Nonlinear multiple-image encryption based on mixture retrieval algorithm in Fresnel domain , 2014 .

[33]  Xiaogang Wang,et al.  Image encoding based on coherent superposition and basic vector operations , 2011 .

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

[35]  Di Xiao,et al.  Edge-based lightweight image encryption using chaos-based reversible hidden transform and multiple-order discrete fractional cosine transform , 2013 .

[36]  Ping Liu,et al.  A novel hybrid color image encryption algorithm using two complex chaotic systems , 2016 .

[37]  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.

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