Fractional Fourier transform-based image encryption: phase retrieval algorithm

[1]  V. Namias The Fractional Order Fourier Transform and its Application to Quantum Mechanics , 1980 .

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

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

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

[5]  Sumiyoshi Abe,et al.  Comment on "The Fractional Fourier Transform in Optical Propagation Problems" , 1995 .

[6]  Xiang-Gen Xia On bandlimited signals with fractional Fourier transform , 1996, IEEE Signal Process. Lett..

[7]  Gozde Bozdagi Akar,et al.  Digital computation of the fractional Fourier transform , 1996, IEEE Trans. Signal Process..

[8]  B Y Gu,et al.  Recursive algorithm for phase retrieval in the fractional fourier transform domain. , 1998, Applied optics.

[9]  B Javidi,et al.  Encrypted optical memory system using three-dimensional keys in the Fresnel domain. , 1999, Optics letters.

[10]  P. Cheng,et al.  Focus on multidimensional microscopy , 1999 .

[11]  Kehar Singh,et al.  Double random fractional Fourier domain encoding for optical security , 2000 .

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

[13]  Cagatay Candan,et al.  The discrete fractional Fourier transform , 2000, IEEE Trans. Signal Process..

[14]  Kehar Singh,et al.  Optical encryption using quadratic phase systems , 2001 .

[15]  Li Yu,et al.  Optical image encryption by cascaded fractional Fourier transforms with random phase filtering , 2001 .

[16]  Shutian Liu,et al.  Optical image encryption based on the generalized fractional convolution operation , 2001 .

[17]  Andrew G. Glen,et al.  APPL , 2001 .

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

[19]  L. Z. Cai,et al.  Optical implementation of scale invariant fractional Fourier transform of continuously variable orders with a two-lens system , 2002 .

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

[21]  Kehar Singh,et al.  Optical phase encryption by phase contrast using electrically addressed spatial light modulator , 2003 .

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

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