Z. Liu, S. Li, W. Liu, W. Liu, and S. Liu, “Image hiding scheme by use of rotating squared sub-image in the gyrator transform domains,” Opt. Laser Technol. 45, 198–203 (2013).

[CrossRef]

M. R. Abuturab, “Color information security system using Arnold transform and double structured phase encoding in gyrator transform domain,” Opt. Laser Technol. 45, 525–532 (2013).

[CrossRef]

Z. Liu, M. Yang, W. Liu, S. Li, M. Gong, W. Liu, and S. Liu, “Image encryption algorithm based on the random local phase encoding in gyrator transform domains,” Opt. Commun. 285, 3921–3925 (2012).

[CrossRef]

M. R. Abuturab, “Securing color information using Arnold transform in gyrator transform domain,” Opt. Lasers Eng. 50, 772–779 (2012).

[CrossRef]

M. R. Abuturab, “Color image security system using double random-structured phase encoding in gyrator transform domain,” Appl. Opt. 51, 3006–3016 (2012).

[CrossRef]

M. R. Abuturab, “Color information security system using discrete cosine transform in gyrator transform domain radial-Hilbert phase encoding,” Opt. Lasers Eng. 50, 1209–1216 (2012).

M. R. Abuturab, “Securing color image using discrete cosine transform in gyrator transform domain structured-phase encoding,” Opt. Lasers Eng. 50, 1383–1390 (2012).

[CrossRef]

W. Chen and X. Chen, “Interference-based optical image encryption using three-dimensional phase retrieval,” Appl. Opt. 51, 6076–6083 (2012).

[CrossRef]

X. Deng and D. Zhao, “Single-channel color image encryption based on asymmetric cryptosystem,” Opt. Laser Technol. 44, 136–140 (2012).

[CrossRef]

X. Wang and D. Zhao, “A special attack on the asymmetric cryptosystem based on phase-truncated Fourier transforms,” Opt. Commun. 285, 1078–1081 (2012).

[CrossRef]

X. Wang and D. Zhao, “Security enhancement of a phase-truncation based image encryption algorithm,” Appl. Opt. 50, 6645–6651 (2011).

[CrossRef]

Z. Liu, L. Xu, T. Liu, H. Chen, P. Li, C. Lin, and S. Liu, “Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains,” Opt. Commun. 284, 123–128 (2011).

[CrossRef]

P. W. M. Tsang, T.-C. Poon, and K. W. K. Cheung, “Fast numerical generation and encryption of computer-generated Fresnel holograms,” Appl. Opt. 50, B46–B52 (2011).

[CrossRef]

E. Pérez-Cabré, M. Cho, and B. Javidi, “Information authentication using photon-counting double-random-phase encrypted images,” Opt. Lett. 36, 22–24 (2011).

[CrossRef]

W. Qin, X. Peng, X. F. Meng, and B. Gao, “Universal and special keys based on phase-truncated Fourier transform,” Opt. Eng. 50, 080501 (2011).

[CrossRef]

W. Chen and X. Chen, “Optical color image encryption based on an asymmetric cryptosystem in the Fresnel domain,” Opt. Commun. 284, 3913–3917 (2011).

[CrossRef]

Z. Liu, L. Xu, C. Chen, J. Dai, and S. Liu, “Image encryption scheme by using iterative random phase encoding in gyrator transform domains,” Opt. Lasers Eng. 49, 542–546 (2011).

[CrossRef]

X. Wang and D. Zhao, “Image encoding based on coherent superposition and basic vector operations,” Opt. Commun. 284, 945–951 (2011).

[CrossRef]

X. Wang and D. Zhao, “Double-image self-encoding and hiding based on phase-truncated Fourier transforms and phase retrieval,” Opt. Commun. 284, 4441–4445 (2011).

[CrossRef]

Z. Liu, L. Xu, C. Chin, and S. Liu, “Image encryption by encoding with a non-uniform optical beam in gyrator transform domains,” Appl. Opt. 49, 5632–5637 (2010).

[CrossRef]

P. Clemente, V. Durán, V. Torres-Company, E. Tajahuerce, and J. Lancis, “Optical encryption based on computational ghost imaging,” Opt. Lett. 35, 2391–2393 (2010).

[CrossRef]

A. Alfalou and C. Brosseau, “Dual encryption scheme of images using polarized light,” Opt. Lett. 35, 2185–2187 (2010).

[CrossRef]

W. Qin and X. Peng, “Asymmetric cryptosystem based on phase-truncated Fourier transforms,” Opt. Lett. 35, 118–120(2010).

[CrossRef]

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Gyrator transform: properties and applications,” Opt. Express 15, 2190–2203 (2007).

[CrossRef]

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Experimental implementation of the gyrator transform,” J. Opt. Soc. Am. A 24, 3135–3139 (2007).

[CrossRef]

Z. Liu and S. Liu, “Random fractional Fourier transform,” Opt. Lett. 32, 2088–2090 (2007).

[CrossRef]

M. Joshi, C. Shakher, and K. Singh, “Color image encryption and decryption using fractional Fourier transform,” Opt. Commun. 279, 35–42 (2007).

[CrossRef]

S. Q. Zhang and M. A. Karim, “Color image encryption using double random phase encoding,” Microwave Opt. Technol. Lett. 21, 318–323 (1999).

[CrossRef]

M. R. Abuturab, “Color information security system using Arnold transform and double structured phase encoding in gyrator transform domain,” Opt. Laser Technol. 45, 525–532 (2013).

[CrossRef]

M. R. Abuturab, “Securing color information using Arnold transform in gyrator transform domain,” Opt. Lasers Eng. 50, 772–779 (2012).

[CrossRef]

M. R. Abuturab, “Color information security system using discrete cosine transform in gyrator transform domain radial-Hilbert phase encoding,” Opt. Lasers Eng. 50, 1209–1216 (2012).

M. R. Abuturab, “Securing color image using discrete cosine transform in gyrator transform domain structured-phase encoding,” Opt. Lasers Eng. 50, 1383–1390 (2012).

[CrossRef]

M. R. Abuturab, “Color image security system using double random-structured phase encoding in gyrator transform domain,” Appl. Opt. 51, 3006–3016 (2012).

[CrossRef]

M. R. Abuturab, “Color image security system based on discrete Hartley transform in gyrator transform domain,” Opt. Lasers Eng. (to be published).

M. R. Abuturab, “Noise-free recovery of color information using a joint-extended gyrator transform correlator,” Opt. Lasers Eng. (to be published).

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Gyrator transform: properties and applications,” Opt. Express 15, 2190–2203 (2007).

[CrossRef]

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Experimental implementation of the gyrator transform,” J. Opt. Soc. Am. A 24, 3135–3139 (2007).

[CrossRef]

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Experimental implementation of the gyrator transform,” J. Opt. Soc. Am. A 24, 3135–3139 (2007).

[CrossRef]

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Gyrator transform: properties and applications,” Opt. Express 15, 2190–2203 (2007).

[CrossRef]

Z. Liu, L. Xu, C. Chen, J. Dai, and S. Liu, “Image encryption scheme by using iterative random phase encoding in gyrator transform domains,” Opt. Lasers Eng. 49, 542–546 (2011).

[CrossRef]

Z. Liu, L. Xu, T. Liu, H. Chen, P. Li, C. Lin, and S. Liu, “Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains,” Opt. Commun. 284, 123–128 (2011).

[CrossRef]

Z. Liu, L. Xu, C. Chen, J. Dai, and S. Liu, “Image encryption scheme by using iterative random phase encoding in gyrator transform domains,” Opt. Lasers Eng. 49, 542–546 (2011).

[CrossRef]

X. Deng and D. Zhao, “Single-channel color image encryption based on asymmetric cryptosystem,” Opt. Laser Technol. 44, 136–140 (2012).

[CrossRef]

W. Qin, X. Peng, X. F. Meng, and B. Gao, “Universal and special keys based on phase-truncated Fourier transform,” Opt. Eng. 50, 080501 (2011).

[CrossRef]

Z. Liu, M. Yang, W. Liu, S. Li, M. Gong, W. Liu, and S. Liu, “Image encryption algorithm based on the random local phase encoding in gyrator transform domains,” Opt. Commun. 285, 3921–3925 (2012).

[CrossRef]

M. Joshi, C. Shakher, and K. Singh, “Color image encryption and decryption using fractional Fourier transform,” Opt. Commun. 279, 35–42 (2007).

[CrossRef]

S. Q. Zhang and M. A. Karim, “Color image encryption using double random phase encoding,” Microwave Opt. Technol. Lett. 21, 318–323 (1999).

[CrossRef]

Z. Liu, L. Xu, T. Liu, H. Chen, P. Li, C. Lin, and S. Liu, “Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains,” Opt. Commun. 284, 123–128 (2011).

[CrossRef]

Z. Liu, S. Li, W. Liu, W. Liu, and S. Liu, “Image hiding scheme by use of rotating squared sub-image in the gyrator transform domains,” Opt. Laser Technol. 45, 198–203 (2013).

[CrossRef]

Z. Liu, M. Yang, W. Liu, S. Li, M. Gong, W. Liu, and S. Liu, “Image encryption algorithm based on the random local phase encoding in gyrator transform domains,” Opt. Commun. 285, 3921–3925 (2012).

[CrossRef]

Z. Liu, L. Xu, T. Liu, H. Chen, P. Li, C. Lin, and S. Liu, “Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains,” Opt. Commun. 284, 123–128 (2011).

[CrossRef]

Z. Liu, S. Li, W. Liu, W. Liu, and S. Liu, “Image hiding scheme by use of rotating squared sub-image in the gyrator transform domains,” Opt. Laser Technol. 45, 198–203 (2013).

[CrossRef]

Z. Liu, M. Yang, W. Liu, S. Li, M. Gong, W. Liu, and S. Liu, “Image encryption algorithm based on the random local phase encoding in gyrator transform domains,” Opt. Commun. 285, 3921–3925 (2012).

[CrossRef]

Z. Liu, L. Xu, C. Chen, J. Dai, and S. Liu, “Image encryption scheme by using iterative random phase encoding in gyrator transform domains,” Opt. Lasers Eng. 49, 542–546 (2011).

[CrossRef]

Z. Liu, L. Xu, T. Liu, H. Chen, P. Li, C. Lin, and S. Liu, “Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains,” Opt. Commun. 284, 123–128 (2011).

[CrossRef]

Z. Liu, L. Xu, C. Chin, and S. Liu, “Image encryption by encoding with a non-uniform optical beam in gyrator transform domains,” Appl. Opt. 49, 5632–5637 (2010).

[CrossRef]

Z. Liu and S. Liu, “Random fractional Fourier transform,” Opt. Lett. 32, 2088–2090 (2007).

[CrossRef]

Z. Liu, L. Xu, T. Liu, H. Chen, P. Li, C. Lin, and S. Liu, “Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains,” Opt. Commun. 284, 123–128 (2011).

[CrossRef]

Z. Liu, S. Li, W. Liu, W. Liu, and S. Liu, “Image hiding scheme by use of rotating squared sub-image in the gyrator transform domains,” Opt. Laser Technol. 45, 198–203 (2013).

[CrossRef]

Z. Liu, S. Li, W. Liu, W. Liu, and S. Liu, “Image hiding scheme by use of rotating squared sub-image in the gyrator transform domains,” Opt. Laser Technol. 45, 198–203 (2013).

[CrossRef]

Z. Liu, M. Yang, W. Liu, S. Li, M. Gong, W. Liu, and S. Liu, “Image encryption algorithm based on the random local phase encoding in gyrator transform domains,” Opt. Commun. 285, 3921–3925 (2012).

[CrossRef]

Z. Liu, M. Yang, W. Liu, S. Li, M. Gong, W. Liu, and S. Liu, “Image encryption algorithm based on the random local phase encoding in gyrator transform domains,” Opt. Commun. 285, 3921–3925 (2012).

[CrossRef]

Z. Liu, S. Li, W. Liu, W. Liu, and S. Liu, “Image hiding scheme by use of rotating squared sub-image in the gyrator transform domains,” Opt. Laser Technol. 45, 198–203 (2013).

[CrossRef]

Z. Liu, M. Yang, W. Liu, S. Li, M. Gong, W. Liu, and S. Liu, “Image encryption algorithm based on the random local phase encoding in gyrator transform domains,” Opt. Commun. 285, 3921–3925 (2012).

[CrossRef]

Z. Liu, L. Xu, C. Chen, J. Dai, and S. Liu, “Image encryption scheme by using iterative random phase encoding in gyrator transform domains,” Opt. Lasers Eng. 49, 542–546 (2011).

[CrossRef]

Z. Liu, L. Xu, T. Liu, H. Chen, P. Li, C. Lin, and S. Liu, “Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains,” Opt. Commun. 284, 123–128 (2011).

[CrossRef]

Z. Liu, L. Xu, C. Chin, and S. Liu, “Image encryption by encoding with a non-uniform optical beam in gyrator transform domains,” Appl. Opt. 49, 5632–5637 (2010).

[CrossRef]

Z. Liu and S. Liu, “Random fractional Fourier transform,” Opt. Lett. 32, 2088–2090 (2007).

[CrossRef]

W. Qin, X. Peng, X. F. Meng, and B. Gao, “Universal and special keys based on phase-truncated Fourier transform,” Opt. Eng. 50, 080501 (2011).

[CrossRef]

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Experimental implementation of the gyrator transform,” J. Opt. Soc. Am. A 24, 3135–3139 (2007).

[CrossRef]

J. A. Rodrigo, T. Alieva, and M. L. Calvo, “Gyrator transform: properties and applications,” Opt. Express 15, 2190–2203 (2007).

[CrossRef]

M. Joshi, C. Shakher, and K. Singh, “Color image encryption and decryption using fractional Fourier transform,” Opt. Commun. 279, 35–42 (2007).

[CrossRef]

M. Joshi, C. Shakher, and K. Singh, “Color image encryption and decryption using fractional Fourier transform,” Opt. Commun. 279, 35–42 (2007).

[CrossRef]

W. Stallings, Cryptography and Network Security: Principles and Practices, 5th ed. (Prentice Hall, 2011).

X. Wang and D. Zhao, “A special attack on the asymmetric cryptosystem based on phase-truncated Fourier transforms,” Opt. Commun. 285, 1078–1081 (2012).

[CrossRef]

X. Wang and D. Zhao, “Double-image self-encoding and hiding based on phase-truncated Fourier transforms and phase retrieval,” Opt. Commun. 284, 4441–4445 (2011).

[CrossRef]

X. Wang and D. Zhao, “Image encoding based on coherent superposition and basic vector operations,” Opt. Commun. 284, 945–951 (2011).

[CrossRef]

X. Wang and D. Zhao, “Security enhancement of a phase-truncation based image encryption algorithm,” Appl. Opt. 50, 6645–6651 (2011).

[CrossRef]

Z. Liu, L. Xu, C. Chen, J. Dai, and S. Liu, “Image encryption scheme by using iterative random phase encoding in gyrator transform domains,” Opt. Lasers Eng. 49, 542–546 (2011).

[CrossRef]

Z. Liu, L. Xu, T. Liu, H. Chen, P. Li, C. Lin, and S. Liu, “Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains,” Opt. Commun. 284, 123–128 (2011).

[CrossRef]

Z. Liu, L. Xu, C. Chin, and S. Liu, “Image encryption by encoding with a non-uniform optical beam in gyrator transform domains,” Appl. Opt. 49, 5632–5637 (2010).

[CrossRef]

Z. Liu, M. Yang, W. Liu, S. Li, M. Gong, W. Liu, and S. Liu, “Image encryption algorithm based on the random local phase encoding in gyrator transform domains,” Opt. Commun. 285, 3921–3925 (2012).

[CrossRef]

S. Q. Zhang and M. A. Karim, “Color image encryption using double random phase encoding,” Microwave Opt. Technol. Lett. 21, 318–323 (1999).

[CrossRef]

X. Wang and D. Zhao, “A special attack on the asymmetric cryptosystem based on phase-truncated Fourier transforms,” Opt. Commun. 285, 1078–1081 (2012).

[CrossRef]

X. Deng and D. Zhao, “Single-channel color image encryption based on asymmetric cryptosystem,” Opt. Laser Technol. 44, 136–140 (2012).

[CrossRef]

X. Wang and D. Zhao, “Double-image self-encoding and hiding based on phase-truncated Fourier transforms and phase retrieval,” Opt. Commun. 284, 4441–4445 (2011).

[CrossRef]

X. Wang and D. Zhao, “Image encoding based on coherent superposition and basic vector operations,” Opt. Commun. 284, 945–951 (2011).

[CrossRef]

X. Wang and D. Zhao, “Security enhancement of a phase-truncation based image encryption algorithm,” Appl. Opt. 50, 6645–6651 (2011).

[CrossRef]

L. Chen and D. Zhao, “Optical color image encryption by wavelength multiplexing and lensless Fresnel transform holograms,” Opt. Express 14, 8552–8560 (2006).

[CrossRef]

X. Wang and D. Zhao, “Security enhancement of a phase-truncation based image encryption algorithm,” Appl. Opt. 50, 6645–6651 (2011).

[CrossRef]

M. R. Abuturab, “Color image security system using double random-structured phase encoding in gyrator transform domain,” Appl. Opt. 51, 3006–3016 (2012).

[CrossRef]

Z. Liu, L. Xu, C. Chin, and S. Liu, “Image encryption by encoding with a non-uniform optical beam in gyrator transform domains,” Appl. Opt. 49, 5632–5637 (2010).

[CrossRef]

P. W. M. Tsang, T.-C. Poon, and K. W. K. Cheung, “Fast numerical generation and encryption of computer-generated Fresnel holograms,” Appl. Opt. 50, B46–B52 (2011).

[CrossRef]

W. Chen and X. Chen, “Interference-based optical image encryption using three-dimensional phase retrieval,” Appl. Opt. 51, 6076–6083 (2012).

[CrossRef]

S. Q. Zhang and M. A. Karim, “Color image encryption using double random phase encoding,” Microwave Opt. Technol. Lett. 21, 318–323 (1999).

[CrossRef]

X. Wang and D. Zhao, “Double-image self-encoding and hiding based on phase-truncated Fourier transforms and phase retrieval,” Opt. Commun. 284, 4441–4445 (2011).

[CrossRef]

Z. Liu, M. Yang, W. Liu, S. Li, M. Gong, W. Liu, and S. Liu, “Image encryption algorithm based on the random local phase encoding in gyrator transform domains,” Opt. Commun. 285, 3921–3925 (2012).

[CrossRef]

Z. Liu, L. Xu, T. Liu, H. Chen, P. Li, C. Lin, and S. Liu, “Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains,” Opt. Commun. 284, 123–128 (2011).

[CrossRef]

X. Wang and D. Zhao, “A special attack on the asymmetric cryptosystem based on phase-truncated Fourier transforms,” Opt. Commun. 285, 1078–1081 (2012).

[CrossRef]

X. Wang and D. Zhao, “Image encoding based on coherent superposition and basic vector operations,” Opt. Commun. 284, 945–951 (2011).

[CrossRef]

M. Joshi, C. Shakher, and K. Singh, “Color image encryption and decryption using fractional Fourier transform,” Opt. Commun. 279, 35–42 (2007).

[CrossRef]

W. Chen and X. Chen, “Optical color image encryption based on an asymmetric cryptosystem in the Fresnel domain,” Opt. Commun. 284, 3913–3917 (2011).

[CrossRef]

W. Qin, X. Peng, X. F. Meng, and B. Gao, “Universal and special keys based on phase-truncated Fourier transform,” Opt. Eng. 50, 080501 (2011).

[CrossRef]

X. Deng and D. Zhao, “Single-channel color image encryption based on asymmetric cryptosystem,” Opt. Laser Technol. 44, 136–140 (2012).

[CrossRef]

M. R. Abuturab, “Color information security system using Arnold transform and double structured phase encoding in gyrator transform domain,” Opt. Laser Technol. 45, 525–532 (2013).

[CrossRef]

Z. Liu, S. Li, W. Liu, W. Liu, and S. Liu, “Image hiding scheme by use of rotating squared sub-image in the gyrator transform domains,” Opt. Laser Technol. 45, 198–203 (2013).

[CrossRef]

Z. Liu, L. Xu, C. Chen, J. Dai, and S. Liu, “Image encryption scheme by using iterative random phase encoding in gyrator transform domains,” Opt. Lasers Eng. 49, 542–546 (2011).

[CrossRef]

M. R. Abuturab, “Color information security system using discrete cosine transform in gyrator transform domain radial-Hilbert phase encoding,” Opt. Lasers Eng. 50, 1209–1216 (2012).

M. R. Abuturab, “Securing color image using discrete cosine transform in gyrator transform domain structured-phase encoding,” Opt. Lasers Eng. 50, 1383–1390 (2012).

[CrossRef]

M. R. Abuturab, “Securing color information using Arnold transform in gyrator transform domain,” Opt. Lasers Eng. 50, 772–779 (2012).

[CrossRef]

Z. Liu and S. Liu, “Random fractional Fourier transform,” Opt. Lett. 32, 2088–2090 (2007).

[CrossRef]

W. Qin and X. Peng, “Asymmetric cryptosystem based on phase-truncated Fourier transforms,” Opt. Lett. 35, 118–120(2010).

[CrossRef]

P. Clemente, V. Durán, V. Torres-Company, E. Tajahuerce, and J. Lancis, “Optical encryption based on computational ghost imaging,” Opt. Lett. 35, 2391–2393 (2010).

[CrossRef]

A. Alfalou and C. Brosseau, “Dual encryption scheme of images using polarized light,” Opt. Lett. 35, 2185–2187 (2010).

[CrossRef]

E. Pérez-Cabré, M. Cho, and B. Javidi, “Information authentication using photon-counting double-random-phase encrypted images,” Opt. Lett. 36, 22–24 (2011).

[CrossRef]

P. Refregier and B. Javidi, “Optical image encryption based on input plane and Fourier plane random encoding,” Opt. Lett. 20, 767–769 (1995).

[CrossRef]

H.-E. Hwang, H. T. Chang, and W.-N. Lie, “Multiple-image encryption and multiplexing using a modified Gerchberg-Saxton algorithm and phase modulation in Fresnel-transform domain,” Opt. Lett. 34, 3917–3919 (2009).

[CrossRef]

M. R. Abuturab, “Color image security system based on discrete Hartley transform in gyrator transform domain,” Opt. Lasers Eng. (to be published).

M. R. Abuturab, “Noise-free recovery of color information using a joint-extended gyrator transform correlator,” Opt. Lasers Eng. (to be published).

W. Stallings, Cryptography and Network Security: Principles and Practices, 5th ed. (Prentice Hall, 2011).