Phase image encryption in the fractional Hartley domain using Arnold transform and singular value decomposition

Abstract A novel scheme for image encryption of phase images is proposed, using fractional Hartley transform followed by Arnold transform and singular value decomposition in the frequency domain. Since the plaintext is a phase image, the mask used in the spatial domain is a random amplitude mask. The proposed scheme has been validated for grayscale images and is sensitive to the encryption parameters such as the order of the Arnold transform and the fractional orders of the Hartley transform. We have also evaluated the scheme's resistance to the well-known noise and occlusion attacks.

[1]  Kehar Singh,et al.  Optical Image Encryption Using Devil’s Vortex Toroidal Lens in the Fresnel Transform Domain , 2015 .

[2]  Kehar Singh,et al.  A phase-image watermarking scheme in gyrator domain using devil's vortex Fresnel lens as a phase mask , 2015 .

[3]  Wen-Liang Hsue,et al.  Multiple-parameter real discrete fractional Fourier and Hartley transforms , 2014, 2014 19th International Conference on Digital Signal Processing.

[4]  Zhihong Zhou,et al.  Double-image encryption scheme combining DWT-based compressive sensing with discrete fractional random transform , 2015 .

[5]  C. Jimenez,et al.  Fractional Hartley transform applied to optical image encryption , 2011 .

[6]  Aloka Sinha,et al.  Optical image encryption using improper Hartley transforms and chaos , 2010 .

[7]  Linfei Chen,et al.  Image encryption based on singular value decomposition and Arnold transform in fractional domain , 2013 .

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

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

[10]  H. Andrews,et al.  Singular value decompositions and digital image processing , 1976 .

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

[12]  Huijuan Li,et al.  Double-image encryption based on iterative gyrator transform , 2008 .

[13]  Manoj Kumar,et al.  Encryption of color images using MSVD in DCST domain , 2017 .

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

[15]  Kehar Singh,et al.  Image encryption using fractional Mellin transform, structured phase filters, and phase retrieval , 2014 .

[16]  Li Li,et al.  A new image encryption based on chaotic systems and singular value decomposition , 2012, Digital Image Processing.

[17]  Kehui Sun,et al.  A fast image encryption algorithm based on chaotic map , 2016 .

[18]  Byoung-Ho Kim,et al.  Fast digital image encryption based on compressive sensing using structurally random matrices and Arnold transform technique , 2016 .

[19]  Kehar Singh,et al.  Fully phase image encryption using double random-structured phase masks in gyrator domain. , 2014, Applied optics.

[20]  Daomu Zhao,et al.  Optical color image encryption with redefined fractional Hartley transform , 2010 .

[21]  Elisabet Pérez-Cabré,et al.  Optical Data Encryption , 2011 .

[22]  Ye Liu,et al.  Single-channel color image encryption algorithm based on fractional Hartley transform and vector operation , 2013, Multimedia Tools and Applications.

[23]  Bee Ee Khoo,et al.  A new robust and secure digital image watermarking scheme based on the integer wavelet transform and singular value decomposition , 2014, Digit. Signal Process..

[24]  S. Pei,et al.  Discrete fractional Hartley and Fourier transforms , 1998 .

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

[26]  Pramod Kumar,et al.  Double Random Phase Encoding Based Optical Encryption Systems Using Some Linear Canonical Transforms: Weaknesses and Countermeasures , 2016 .

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

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

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

[30]  Gaurav Bhatnagar,et al.  SVD-based robust watermarking using fractional cosine transform , 2010, Defense + Commercial Sensing.

[31]  Safya Belghith,et al.  Chaos-based partial image encryption scheme based on linear fractional and lifting wavelet transforms , 2017 .

[32]  Linfei Chen,et al.  Optical image encryption with Hartley transforms. , 2006, Optics letters.

[33]  John T. Sheridan,et al.  Image encryption and the fractional Fourier transform , 2003 .

[34]  Joos Vandewalle,et al.  A Singular Value Decomposition Updating Algorithm for Subspace Tracking , 1992, SIAM J. Matrix Anal. Appl..

[35]  Martin J. Bastiaans,et al.  Fractional Transforms in Optical Information Processing , 2005, EURASIP J. Adv. Signal Process..

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

[37]  Zhengjun Liu,et al.  Image encryption algorithm by using fractional Fourier transform and pixel scrambling operation based on double random phase encoding , 2013 .

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

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

[40]  Li Xin-Xin,et al.  Optical Image Encryption with Simplified Fractional Hartley Transform , 2008 .

[41]  Juan M. Vilardy,et al.  Double image encryption method using the Arnold transform in the fractional Hartley domain , 2013, Iberoamerican Meeting of Optics and the Latin American Meeting of Optics, Lasers and Their Applications.

[42]  Wen-Liang Hsue,et al.  Real Discrete Fractional Fourier, Hartley, Generalized Fourier and Generalized Hartley Transforms With Many Parameters , 2015, IEEE Transactions on Circuits and Systems I: Regular Papers.

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

[44]  Soo-Chang Pei,et al.  Fractional cosine, sine, and Hartley transforms , 2002, IEEE Trans. Signal Process..