Securing color image by using hyperchaotic system in gyrator transform domains

A color image encryption scheme is proposed by using a hyperchaotic system in gyrator transform domains. The red, green and blue (RGB) components of the original color image are encoded into one dimensional stream, respectively. Four chaotic sequences generated by a hyperchaotic system are blended into the streams to synthesize complex sequences. Subsequently the one dimensional complex streams are scrambled by employing discrete cosine transform and then encoded back to image format. Finally, the scrambled complex functions are encoded and transformed in gyrator domains. The parameters in the hyperchaotic system and the gyrator optical system are regarded as the extra keys for improving the security of the proposed scheme. Some numerical simulations are made to test the validity and capability of the proposed color encryption algorithm.

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

[2]  Qindong Sun,et al.  Double-image encryption using discrete fractional random transform and logistic maps , 2014 .

[3]  Zhengjun Liu,et al.  Random fractional Fourier transform. , 2007, Optics letters.

[4]  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.

[5]  L Z Cai,et al.  Two-step phase-shifting interferometry and its application in image encryption. , 2006, Optics letters.

[6]  Daomu Zhao,et al.  Color image encoding in dual fractional Fourier-wavelet domain with random phases , 2009 .

[7]  Xiaoping Du,et al.  Optical color image hiding scheme by using Gerchberg–Saxton algorithm in fractional Fourier domain , 2015 .

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

[9]  Isha Mehra,et al.  Cryptanalysis of an image encryption scheme based on joint transform correlator with amplitude- and phase- truncation approach , 2014 .

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

[11]  Wen Chen,et al.  High-flexibility optical encryption via aperture movement. , 2013, Optics express.

[12]  Congxu Zhu,et al.  A novel image encryption scheme based on improved hyperchaotic sequences , 2012 .

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

[14]  Cheng-Fang Huang,et al.  Design and implementation of digital secure communication based on synchronized chaotic systems , 2010, Digit. Signal Process..

[15]  Muhammad Rafiq Abuturab An asymmetric color image cryptosystem based on Schur decomposition in gyrator transform domain , 2014 .

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

[17]  C. Chee,et al.  Secure digital communication using controlled projective synchronisation of chaos , 2005 .

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

[19]  Z. Zalevsky,et al.  The Fractional Fourier Transform: with Applications in Optics and Signal Processing , 2001 .

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

[21]  K. Wolf,et al.  Structure of the set of paraxial optical systems. , 2000, Journal of the Optical Society of America. A, Optics, image science, and vision.

[22]  Yongtian Wang,et al.  Optical image encryption based on interference of polarized light. , 2009, Optics express.

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

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

[25]  Ayman Alfalou,et al.  Optical image compression and encryption methods , 2009 .

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

[27]  Muhammad Rafiq Abuturab Color information verification system based on singular value decomposition in gyrator transform domains , 2014 .

[28]  Xiaoping Du,et al.  Color image encryption based on the affine transform and gyrator transform , 2013 .

[29]  Xiaoping Du,et al.  Opto-digital spectrum encryption by using Baker mapping and gyrator transform , 2015 .

[30]  Wen Chen,et al.  Optical color-image encryption and synthesis using coherent diffractive imaging in the Fresnel domain. , 2012, Optics express.