Fully phase image encryption using double random-structured phase masks in gyrator domain.

We propose a method for fully phase image encryption based on double random-structured phase mask encoding in the gyrator transform (GT) domain. The security of the system is strengthened by parameters used in the construction of a structured phase mask (SPM) based on a devil's vortex Fresnel lens (DVFL). The input image is recovered using the correct parameters of the SPMs, transform orders of the GT, and conjugate of the random phase masks. The use of a DVFL-based SPM enhances security by increasing the key space for encryption, and also overcomes the problem of axis alignment associated with an optical setup. The proposed scheme can also be implemented optically. The computed values of mean squared error between the retrieved and the original image show the efficacy of the proposed scheme. We have also investigated the scheme's sensitivity to the encryption parameters, and robustness against occlusion and multiplicative Gaussian noise attacks.

[1]  Ting Liu,et al.  Double-image encryption based on the affine transform and the gyrator transform , 2010 .

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

[3]  Zhengjun Liu,et al.  Image watermarking by using phase retrieval algorithm in gyrator transform domain , 2010 .

[4]  John Fredy Barrera,et al.  Fault tolerances using toroidal zone plate encryption , 2005 .

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

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

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

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

[9]  Liansheng Sui,et al.  Color image encryption based on gyrator transform and Arnold transform , 2013 .

[10]  J. Rodrigo,et al.  Experimental generation and characterization of Devil’s vortex-lenses , 2012, Applied Physics B.

[11]  José A. Rodrigo,et al.  Applications of gyrator transform for image processing , 2007 .

[12]  Arvind Kumar,et al.  Speckle Coding for Optical and Digital Data Security Applications , 2011 .

[13]  Laura Remón,et al.  Volumetric multiple optical traps produced by Devil's lenses , 2010 .

[14]  Soo-Chang Pei,et al.  Properties, digital implementation, applications, and self image phenomena of the gyrator transform , 2009, 2009 17th European Signal Processing Conference.

[15]  Aloka Sinha,et al.  Digital image watermarking using gyrator transform and chaotic maps , 2010 .

[16]  Kehar Singh,et al.  Fully phase-encrypted memory using cascaded extended fractional Fourier transform , 2004 .

[17]  Qu Wang,et al.  Multiple-image encryption system using cascaded phase mask encoding and a modified Gerchberg–Saxton algorithm in gyrator domain , 2014 .

[18]  Qu Wang,et al.  Double image encryption based on phase-amplitude mixed encoding and multistage phase encoding in gyrator transform domains , 2013 .

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

[20]  Kehar Singh,et al.  Fully phase encryption using fractional Fourier transform , 2003 .

[21]  Donald R. Chalice.  A characterization of the Cantor function , 1991 .

[22]  Zhengjun Liu,et al.  Double image encryption scheme by using random phase encoding and pixel exchanging in the gyrator transform domains , 2013 .

[23]  Bahram Javidi,et al.  Fully phase encrypted image processor , 1999 .

[24]  Dafne Amaya,et al.  Multiplexing of encrypted data using fractal masks. , 2012, Optics letters.

[25]  John Fredy Barrera,et al.  Optical encryption method using toroidal zone plates , 2005 .

[26]  Genaro Saavedra,et al.  Devil's lenses. , 2007, Optics express.

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

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

[29]  Zhongyi Guo,et al.  Double-image sharing encryption based on associated fractional Fourier transform and gyrator transform , 2010 .

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

[31]  Kehar Singh,et al.  Fully phase-based encryption using fractional order Fourier domain random phase encoding: error analysis , 2004 .

[32]  Muhammad Rafiq Abuturab,et al.  Color image security system using double random-structured phase encoding in gyrator transform domain. , 2012, Applied optics.

[33]  Matthew E. Anderson,et al.  Experimental realization of the devil's vortex Fresnel lens with a programmable spatial light modulator. , 2012, Applied optics.

[34]  Arnau Calatayud,et al.  Polyadic devil's lenses. , 2009, Journal of the Optical Society of America. A, Optics, image science, and vision.

[35]  B Javidi,et al.  Error-reduction techniques and error analysis for fully phase- and amplitude-based encryption. , 2000, Applied optics.

[36]  Li-Hua Gong,et al.  Novel image compression–encryption hybrid algorithm based on key-controlled measurement matrix in compressive sensing , 2014 .

[37]  Arnau Calatayud,et al.  Devil's vortex-lenses. , 2009, Optics express.

[38]  Wei Liu,et al.  Image encryption algorithm based on the random local phase encoding in gyrator transform domains , 2012 .

[39]  Muhammad Rafiq Abuturab,et al.  Color information security system using Arnold transform and double structured phase encoding in gyrator transform domain , 2013 .

[40]  B Javidi,et al.  Secure optical storage that uses fully phase encryption. , 2000, Applied optics.

[41]  Enrique Tajahuerce,et al.  Generation of programmable 3D optical vortex structures through devil's vortex-lens arrays. , 2013, Applied optics.

[42]  Bahram Javidi,et al.  Fully phase encoded key and biometrics for security verification , 1997 .

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

[44]  Muhammad Rafiq Abuturab,et al.  Securing color image using discrete cosine transform in gyrator transform domain structured-phase encoding , 2012 .

[45]  Jean-Yves Chouinard,et al.  A Secure Image Encryption Algorithm Based on Rubik's Cube Principle , 2012, J. Electr. Comput. Eng..

[46]  John T. Sheridan,et al.  A review of optical image encryption techniques , 2014 .

[47]  Kehar Singh,et al.  Devil’s Vortex Phase Structure as Frequency Plane Mask for Image Encryption Using the Fractional Mellin Transform , 2014 .

[48]  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.

[49]  Yiping Cui,et al.  Nondestructive determination for the thickness of spin-coated polymer films by transparent coefficient , 2005 .