Image encryption-decryption system based on gyrator transform and jigsaw transform

In this work an image encryption-decryption system is developed using Gyrator transform (GT) and Jigsaw transform (JT). The encryption system uses two successive GTs and JTs, in order to convert a real image to a real noisy encrypted image. The decryption system is an inverse system with respect to the encryption system. The real image to be encrypted is preprocessed with the purpose of obtaining a real encrypted image, this real encrypted image has the same size as the original image to be encrypted and it is much more convenient for either its storage or transmission. The JT is applied to eliminate the random phase mask used in many encryption systems based on double random phase mask and to increase the security of the encryption-decryption system proposed in this work. Finally, in order to verify the performance of the encryption-decryption system, a digital algorithm was developed. There are four keys used in the encryption-decryption algorithm, which are constituted by the two GTs rotation angles and the two random permutations used in the JTs; all these keys have to be correct for a proper recovery of the original image in the decryption system.

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

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

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

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

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

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

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

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

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

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

[11]  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.

[12]  Linfei Chen,et al.  Optical image encryption based on fractional wavelet transform , 2005 .

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

[14]  Rafael C. González,et al.  Digital image processing using MATLAB , 2006 .

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

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

[17]  John T. Sheridan,et al.  Optical image encryption by random shifting in fractional Fourier domains. , 2003, Optics letters.