Hierarchical multiple-image encryption based on the cascaded interference structure and vector stochastic decomposition algorithm

Abstract A new kind of hierarchical multiple-image encryption method based on the cascaded interference structure and vector stochastic decomposition algorithm is proposed. In this method, by using the nonequal modulus decomposition and vector stochastic decomposition algorithm, the Kth-level secret image modulated by a random phase distribution is analytically encoded into a Kth-level phase-only mask (POM) key and the (K−1)th-level complex amplitude field whose real amplitude is the (K−1)th-level secret image. Then, served as the input condition, the generated complex amplitude field is further encoded into a (K−1)th-level POM key and the (K−2)th-level complex amplitude, and so on, until the 1st-level complex amplitude field is decomposed into two POMs: one is the 1st-level key, and the other is the ciphertext. When decryption occurs, only when the high-level users simultaneously obtain all the phase keys, the correct sequential orders of phase keys, and the correct geometrical parameters, all the secret images are retrieved successfully. Both theoretical analysis and numerical simulations verify the feasibility of this method.

[1]  Dafne Amaya,et al.  Wavelength multiplexing encryption using joint transform correlator architecture. , 2009, Applied optics.

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

[3]  Bahram Javidi,et al.  Secure optical data storage with random phase key codes by use of a configuration of a joint transform correlator. , 2003, Applied optics.

[4]  Junli Liang,et al.  Asymmetric double-image encryption based on cascaded discrete fractional random transform and logistic maps. , 2014, Optics express.

[5]  Dajiang Lu,et al.  Discussion and a new method of optical cryptosystem based on interference , 2017 .

[6]  Kehar Singh,et al.  Double phase-image encryption using gyrator transforms, and structured phase mask in the frequency plane , 2015 .

[7]  Juan Liu,et al.  Experimental verification of optical image encryption based on interference , 2011 .

[8]  Dajiang Lu,et al.  An interference-based optical authentication scheme using two phase-only masks with different diffraction distances , 2017 .

[9]  Wen Chen,et al.  Ghost imaging for three-dimensional optical security , 2013 .

[10]  Linfei Chen,et al.  Optical color image encryption by wavelength multiplexing and lensless Fresnel transform holograms. , 2006, Optics express.

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

[12]  Qu Wang,et al.  Multiple-image encryption based on interference principle and phase-only mask multiplexing in Fresnel transform domain. , 2013, Applied optics.

[13]  Hone-Ene Hwang,et al.  Position multiplexing multiple-image encryption using cascaded phase-only masks in Fresnel transform domain , 2011 .

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

[15]  Wen Chen,et al.  Double random phase encoding using phase reservation and compression , 2014 .

[16]  Wenqi He,et al.  A kind of multilevel authentication system for multiple-image by modulated real part synthesis and iterative phase multiplexing , 2016 .

[17]  Qu Wang,et al.  Optical image encryption with silhouette removal based on interference and phase blend processing , 2012 .

[18]  Xudong Chen,et al.  Optical image encryption based on diffractive imaging. , 2010, Optics letters.

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

[20]  Xiaogang Wang,et al.  Optical image hiding with silhouette removal based on the optical interference principle. , 2012, Applied optics.

[21]  Li-Hua Gong,et al.  Flexible multiple-image encryption algorithm based on log-polar transform and double random phase encoding technique , 2013 .

[22]  S Liu,et al.  Optical image encryption with multistage and multichannel fractional Fourier-domain filtering. , 2001, Optics letters.

[23]  Yan Zhang,et al.  Enhancement of image hiding by exchanging two phase masks , 2009 .

[24]  Kehar Singh,et al.  Optical image encryption using a jigsaw transform for silhouette removal in interference-based methods and decryption with a single spatial light modulator. , 2011, Applied optics.

[25]  Di Wang,et al.  Image compression and encryption scheme based on 2D compressive sensing and fractional Mellin transform , 2015 .

[26]  Xiaoling Wang,et al.  Multiple-image hiding based on interference principle , 2012 .

[27]  Bo Wang,et al.  Optical image encryption based on interference. , 2008, Optics letters.

[28]  C. Niu,et al.  An encryption method with multiple encrypted keys based on interference principle. , 2010, Optics express.

[29]  Liangcai Cao,et al.  Image Encryption Based on Interleaved Computer-Generated Holograms , 2018, IEEE Transactions on Industrial Informatics.

[30]  Junli Liang,et al.  Double-image encryption based on discrete multiple-parameter fractional angular transform and two-coupled logistic maps , 2015 .

[31]  Zhihong Zhou,et al.  Image compression–encryption scheme based on hyper-chaotic system and 2D compressive sensing , 2016 .

[32]  J. Glückstad,et al.  A phase-based optical encryption system with polarisation encoding , 2000 .

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

[34]  Bahram Javidi,et al.  Optical encryption using photon-counting polarimetric imaging. , 2015, Optics express.

[35]  Hai Yu,et al.  Analysis and improvement of a double-image encryption scheme using pixel scrambling technique in gyrator domains , 2015 .

[36]  Linfei Chen,et al.  Phase retrieval encryption in an enhanced optical interference by key phase constraint. , 2015, Applied optics.

[37]  Wenqi He,et al.  Optical multiple-image hiding based on interference and grating modulation , 2012 .

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

[39]  Wenqi He,et al.  Optical information encoding and image watermarking scheme based on phase-shifting interferometry and singular value decomposition , 2013 .

[40]  Sun Qindong,et al.  Amplitude-phase retrieval attack free image encryption based on two random masks and interference , 2016 .

[41]  Hone-Ene Hwang,et al.  Wavelength multiplexing multiple-image encryption using cascaded phase-only masks in the Fresnel transform domain. , 2011, Applied optics.

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

[43]  Xudong Chen,et al.  Optical multiple-image encryption based on multiplane phase retrieval and interference , 2011 .