Image Encryption Using Compressive Sensing and Detour Cylindrical Diffraction

An image compression and encryption method integrating compressive sensing (CS) and Detour Cylindrical-diffraction-based double Random-phase Encoding (DCRE) is proposed. The plaintext image is first compressed by CS and then encrypted by the DCRE algorithm. The existing integrated CS and double random phase encoding (DRPE) methods are known to be vulnerable to the plaintext attack and even ciphertext-only attack. The combination of CS and DCRE, however, will be free of the plaintext attack and ciphertext-only attack, free of phase retrieval attack and allows enlarged key space. Numerical simulation results demonstrate the effectiveness and flexibility of the proposed scheme.

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

[2]  Zhengjun Liu,et al.  Coherent diffraction imaging by moving a lens. , 2016, Optics express.

[3]  David L Donoho,et al.  Compressed sensing , 2006, IEEE Transactions on Information Theory.

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

[5]  Neil Genzlinger A. and Q , 2006 .

[6]  Kevin Barraclough,et al.  I and i , 2001, BMJ : British Medical Journal.

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

[8]  Osamu Matoba,et al.  Optical Techniques for Information Security , 2009, Proceedings of the IEEE.

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

[10]  D. N. Kim,et al.  Fast Fourier Transform - Algorithms and Applications , 2010 .

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

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

[13]  Rong Li,et al.  Compressive optical image encryption with two-step-only quadrature phase-shifting digital holography , 2015 .

[14]  B Deepan,et al.  Multiple-image encryption by space multiplexing based on compressive sensing and the double-random phase-encoding technique. , 2014, Applied optics.

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

[16]  Huiqian Du,et al.  Optical image encryption based on compressive sensing and chaos in the fractional Fourier domain , 2014 .

[17]  Zhengjun Liu,et al.  A Recovery Method of Double Random Phase Encoding System With a Parallel Phase Retrieval , 2016, IEEE Photonics Journal.

[18]  Leo Yu Zhang,et al.  On the Security of Optical Ciphers Under the Architecture of Compressed Sensing Combining With Double Random Phase Encoding , 2017, IEEE Photonics Journal.

[19]  Ying Wang,et al.  Optical image encryption using chaos-based compressed sensing and phase-shifting interference in fractional wavelet domain , 2018 .

[20]  Bahram Javidi,et al.  Single exposure super-resolution compressive imaging by double phase encoding. , 2010, Optics express.

[21]  Byoung-Ho Kim,et al.  Compressive sensing based robust multispectral double-image encryption , 2015 .

[22]  Trac D. Tran,et al.  Fast and Efficient Compressive Sensing Using Structurally Random Matrices , 2011, IEEE Transactions on Signal Processing.

[23]  Xiaogang Wang,et al.  Optical Image Encryption With Divergent Illumination and Asymmetric Keys , 2017, IEEE Photonics Journal.

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

[25]  X C Cheng,et al.  Security enhancement of double-random phase encryption by amplitude modulation. , 2008, Optics letters.

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

[27]  Emmanuel J. Candès,et al.  Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies? , 2004, IEEE Transactions on Information Theory.

[28]  Aloka Sinha,et al.  Gyrator transform-based optical image encryption, using chaos , 2009 .

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

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

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

[32]  Emmanuel J. Candès,et al.  Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information , 2004, IEEE Transactions on Information Theory.

[33]  J R Fienup,et al.  Phase retrieval algorithms: a comparison. , 1982, Applied optics.

[34]  Tuo Li,et al.  Ciphertext-Only Attack on Phase-Shifting Interferometery-Based Encryption , 2017, IEEE Photonics Journal.

[35]  Y. Mu,et al.  Optical Image Encryption Based on Chaotic Baker Map and Double Random Phase Encoding , 2013, Journal of Lightwave Technology.

[36]  Wen Chen,et al.  Optical information authentication using compressed double-random-phase-encoded images and quick-response codes. , 2015, Optics express.

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

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

[39]  Zhiyong Xu,et al.  Digital image information encryption based on Compressive Sensing and double random-phase encoding technique , 2013 .

[40]  Wen Chen,et al.  Optical Encryption and Authentication Based on Phase Retrieval and Sparsity Constraints , 2015, IEEE Photonics Journal.

[41]  Bahram Javidi,et al.  Advances in optical security systems , 2014 .

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

[43]  Jun Wang,et al.  Unified and accurate diffraction calculation between two concentric cylindrical surfaces. , 2018, Journal of the Optical Society of America. A, Optics, image science, and vision.

[44]  H. Neudecker A Note on Kronecker Matrix Products and Matrix Equation Systems , 1969 .

[45]  Aaas News,et al.  Book Reviews , 1893, Buffalo Medical and Surgical Journal.

[46]  E.J. Candes,et al.  An Introduction To Compressive Sampling , 2008, IEEE Signal Processing Magazine.

[47]  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.

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

[49]  Wen-Nung Lie,et al.  Fast double-phase retrieval in Fresnel domain using modified Gerchberg-Saxton algorithm for lensless optical security systems. , 2009, Optics express.

[50]  B. Javidi,et al.  Photon-Counting Security Tagging and Verification Using Optically Encoded QR Codes , 2014, IEEE Photonics Journal.