Asymmetric Color Image Cryptosystem Using Detour Cylindrical-Diffraction and Phase Reservation & Truncation

Recently, color image encryption has attracted extensive research interests. However, challenging issues, such as linearity, complex-valued output, and information disclosure, remain. To address these issues, we propose an asymmetric color image cryptosystem by using detour cylindrical-diffraction and phase reservation and truncation (PRT). In this cryptosystem, a complex combination of two color components of a color image is encrypted through a detour cylindrical-diffraction process with double random phase masks, which are located on the input and intermediate surfaces. The diffraction distribution of complex amplitude is separated into phase and amplitude parts using PRT. The phase parts are saved as asymmetric keys, while the two amplitude parts are combined with another color component and saved as ciphertext, respectively. The asymmetric detour cylindrical-diffraction destroys the linearity of the proposed cryptosystem and solves the issue of information disclosure. Meanwhile, the PRT ensures that the cryptosystem is asymmetric and has amplitude-only output, which further destroys the linearity. Therefore, the three issues in color image encryption are resolved. Numerical simulation results validate the effectiveness and flexibility of the proposed cryptosystem.

[1]  Xiaogang Wang,et al.  A special attack on the asymmetric cryptosystem based on phase-truncated Fourier transforms , 2012 .

[2]  Bahram Javidi,et al.  Optical security and authentication using nanoscale and thin-film structures , 2017 .

[3]  Wen Chen,et al.  Optical color image encryption based on an asymmetric cryptosystem in the Fresnel domain , 2011 .

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

[5]  Qiong Gong,et al.  Optical color-image encryption in the diffractive-imaging scheme , 2016 .

[6]  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 .

[7]  Toyohiko Yatagai,et al.  Fast calculation method for cylindrical computer-generated holograms. , 2005, Optics express.

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

[9]  Wu Xiaolin,et al.  A Novel Color Image Encryption Scheme Using Rectangular Transform-Enhanced Chaotic Tent Maps , 2017 .

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

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

[12]  Jun Wang,et al.  Fast diffraction calculation of cylindrical computer generated hologram based on outside-in propagation model , 2017 .

[13]  Yingqian Zhang,et al.  An Image Encryption Algorithm Based on Josephus Traversing and Mixed Chaotic Map , 2018, IEEE Access.

[14]  Liangcai Cao,et al.  Phase retrieval for attacking fractional Fourier transform encryption. , 2017, Applied optics.

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

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

[17]  Jun Wang,et al.  Image Encryption Using Compressive Sensing and Detour Cylindrical Diffraction , 2018, IEEE Photonics Journal.

[18]  Bin Zhu,et al.  A Novel Color Image Encryption Scheme Using Rectangular Transform-Enhanced Chaotic Tent Maps , 2017, IEEE Access.

[19]  Chenggen Quan,et al.  Optical color image encryption without information disclosure using phase-truncated Fresnel transform and a random amplitude mask , 2015 .

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

[21]  Myrian Tebaldi,et al.  Pure optical dynamical color encryption. , 2011, Optics express.

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

[23]  Bahram Javidi,et al.  Roadmap on optical security , 2016 .

[24]  Xiao-Wei Li,et al.  Phase-retrieval attack free cryptosystem based on cylindrical asymmetric diffraction and double-random phase encoding , 2018 .

[25]  Daomu Zhao,et al.  Amplitude-phase retrieval attack free cryptosystem based on direct attack to phase-truncated Fourier-transform-based encryption using a random amplitude mask. , 2013, Optics letters.

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

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

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

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

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

[31]  Yixiang Chen,et al.  Double-image encryption without information disclosure using phase-truncation Fourier transforms and a random amplitude mask. , 2014, Applied optics.

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

[33]  Ahmed A. Abd El-Latif,et al.  Robust Encryption of Quantum Medical Images , 2018, IEEE Access.

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