Image encryption based on double folding operation in fractional Fourier transform domain

Based on fractional Fourier transform, the double folding operation is studied and introduced into image encryption. This method can implement a kind of the encoding with real number. This characteristic is convenient to the storage and transmission of the encrypted image. The corresponding experimental setup is similar to the scheme of double random phase encoding. With computer, some numerical simulations have been achieved. The analysis on the algorithm from the aspects of validity, security and robustness is made. The calculated results have been demonstrated that the algorithm is effective and has good security.

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

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

[3]  H. Ozaktas,et al.  Fractional Fourier transforms and their optical implementation. II , 1993 .

[4]  Yu Bin,et al.  Known-plaintext attack on double phase encoding encryption technique , 2006 .

[5]  Shutian Liu,et al.  Randomization of the Fourier transform. , 2007, Optics letters.

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

[7]  Hirotsugu Yamamoto,et al.  Secure information display with limited viewing zone by use of multi-color visual cryptography. , 2004, Optics express.

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

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

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

[11]  Shutian Liu,et al.  Watermarking based on discrete fractional random transform , 2007 .

[12]  Unnikrishnan Gopinathan,et al.  Key-space analysis of double random phase encryption technique. , 2007, Applied optics.

[13]  Peng Zhang,et al.  Known-plaintext attack on optical encryption based on double random phase keys. , 2006, Optics letters.

[14]  Byoungho Lee,et al.  Optical implementation of iterative fractional Fourier transform algorithm. , 2006, Optics express.

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

[16]  Shutian Liu,et al.  A discrete fractional angular transform , 2008 .

[17]  Zhengjun Liu,et al.  Random fractional Fourier transform. , 2007, Optics letters.

[18]  Shutian Liu,et al.  The discrete fractional random cosine and sine transforms , 2006 .

[19]  Zhengjun Liu,et al.  Triple image encryption scheme in fractional Fourier transform domains , 2009 .

[20]  Zhengjun Liu,et al.  A new kind of double image encryption by using a cutting spectrum in the 1-D fractional Fourier transform domains , 2009 .

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

[22]  A. Lohmann.  Image rotation, Wigner rotation, and the fractional Fourier transform , 1993 .

[23]  Zhengjun Liu,et al.  A discrete fractional random transform , 2005, math-ph/0605061.

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

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

[26]  Peng Zhang,et al.  Chosen-plaintext attack on lensless double-random phase encoding in the Fresnel domain. , 2006, Optics letters.

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

[28]  Shutian Liu,et al.  Image sharing scheme based on combination theory , 2008 .

[29]  Zhengjun Liu,et al.  Robustness analysis of image watermarking based on discrete fractional random transform , 2008 .

[30]  Kamalesh Kumar Sharma,et al.  Signal separation using linear canonical and fractional Fourier transforms , 2006 .

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

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

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

[34]  Madhusudan Joshi,et al.  Color image encryption and decryption for twin images in fractional Fourier domain , 2008 .

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

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

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

[38]  X. F. Meng,et al.  Cross-talk free image encryption and watermarking by digital holography and random composition , 2007 .

[39]  Shutian Liu,et al.  Image encryption scheme based on the commutation and anti-commutation rules , 2007 .

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

[41]  Peng Xiang,et al.  Ciphertext-only attack on double random phase encoding optical encryption system , 2007 .