Color image encryption and decryption for twin images in fractional Fourier domain

We propose a method for the encryption of twin color images using fractional Fourier transform (FRT). The color images to be encrypted are converted into the indexed image formats before being processed through twin image encryption algorithm based on the FRT. The proposed algorithm uses one random code in the image domain and one random phase code in the FRT domain to perform double image encryption. The conversion of both the input RGB images into their indexed formats facilitates single-channel processing for each image, and is more compact and robust as compared to multichannel techniques. Different fractional orders, the random masks in image- and FRT domain are the keys to enhance the security of the proposed system. The algorithms to implement the proposed encryption and decryption schemes are discussed, and results of digital simulation are presented. We examine sensitivity of the proposed scheme against the use of unauthorized keys (e.g. incorrect fractional orders, incorrect random phase mask etc.). Robustness of the method against occlusion and noise has also been discussed.

[1]  Fan Ge,et al.  A half-blind color image hiding and encryption method in fractional Fourier domains , 2008 .

[2]  D Mendlovic,et al.  Anamorphic fractional Fourier transform: optical implementation and applications. , 1995, Applied optics.

[3]  Zhengjun Liu,et al.  Double image encryption based on iterative fractional Fourier transform , 2007 .

[4]  P C Mogensen,et al.  Phase-only optical encryption. , 2000, Optics letters.

[5]  B. Javidi Securing Information with Optical Technologies , 1997 .

[6]  Linfei Chen,et al.  Color information processing (coding and synthesis) with fractional Fourier transforms and digital holography. , 2007, Optics express.

[7]  Bahram Javidi,et al.  Polarization encoding for optical security systems , 2000 .

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

[9]  B Javidi,et al.  Optoelectronic information encryption with phase-shifting interferometry. , 2000, Applied optics.

[10]  Cecilia La Mela,et al.  Optical encryption using phase-shifting interferometry in a joint transform correlator. , 2006, Optics letters.

[11]  G Unnikrishnan,et al.  Fractional fourier domain encrypted holographic memory by use of an anamorphic optical system. , 2001, Applied optics.

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

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

[14]  Y Li,et al.  Security and encryption optical systems based on a correlator with significant output images. , 2000, Applied optics.

[15]  Kehar Singh,et al.  Securing information using fractional Fourier transform in digital holography [rapid communication] , 2004 .

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

[17]  X. F. Meng,et al.  Image watermarking based on an iterative phase retrieval algorithm and sine–cosine modulation in the discrete-cosine-transform domain , 2007 .

[18]  Mohammad A. Karim,et al.  Color image encryption using double random phase encoding , 1999 .

[19]  Xiang Peng,et al.  Double-lock for image encryption with virtual optical wavelength. , 2002, Optics express.

[20]  R. Dorsch,et al.  Fractional-Fourier-transform calculation through the fast-Fourier-transform algorithm. , 1996, Applied optics.

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

[22]  Z. Zalevsky,et al.  The Fractional Fourier Transform: with Applications in Optics and Signal Processing , 2001 .

[23]  Hone-Ene Hwang,et al.  Fast algorithm of phase masks for image encryption in the Fresnel domain. , 2006, Journal of the Optical Society of America. A, Optics, image science, and vision.

[24]  S Liu,et al.  Optical image encryption based on multifractional Fourier transforms. , 2000, Optics letters.

[25]  Madhusudan Joshi,et al.  Color image encryption and decryption using fractional Fourier transform , 2007 .

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

[27]  Claudio Iemmi,et al.  Optical encoding of color three-dimensional correlation , 2002 .

[28]  Ran Tao,et al.  Double image encryption based on random phase encoding in the fractional Fourier domain. , 2007, Optics express.

[29]  Kuang Tsan Lin,et al.  Digital information encrypted in an image using binary encoding , 2008 .

[30]  Xiangfeng Meng,et al.  Cross-talk-free double-image encryption and watermarking with amplitude–phase separate modulations , 2005 .

[31]  Yan Zhang,et al.  Optical encryption based on iterative fractional Fourier transform , 2002 .