[1] |
|
[2] |
Matoba O, Nomura T, Perez C E, et al. Optical techniques for information security[J]. Proceedings of IEEE, 2009, 97(6): 1128-1148. |
[3] |
|
[4] |
Liu S, Guo C L, Sheridan J T. A review of optical image encryption techniques[J]. Optics and Laser Technology, 2014, 57: 327-342. |
[5] |
Refregier P, Javidi B. Optical image encryption based on input plane and Fourier plane random encoding[J]. Optics Letters, 1995, 20(7): 767-769. |
[6] |
|
[7] |
|
[8] |
Javidi B, Nomura T. Securing information by use of digital holography[J]. Optics Letters, 2000, 25(1): 28-30. |
[9] |
|
[10] |
Taajahuerce E, Javidi B. Encrypting three-dimensional information with digital holography[J]. Applied Optics, 2000, 39(35): 6595-6601. |
[11] |
Haw J W, Park C S, Ryu D H. Optical image encryption based on XOR operations[J]. Optical Engineering, 1999, 38(1): 47-54. |
[12] |
|
[13] |
|
[14] |
Chen L F, Zhao D M. Optical color image encryption by wavelength multiplexing and lensless Fresnel transform holograms[J]. Optics Express, 2006, 14(19): 8552-8560. |
[15] |
Unnikrishnan G, Joseph J, Singh K. Optics encryption by double-random phase encoding in the fractional Fourier domain[J]. Optics Letters, 2000, 25: 887-889. |
[16] |
|
[17] |
|
[18] |
Chen L F, Zhao D M, Ge F. Image encryption based on singular value decomposition and arnold transform in fractional domain[J]. Optics Communications, 2013, 291: 98-103. |
[19] |
Liu Z, Liu S. Random fractional Fourier transform[J]. Optics Letters, 2007, 32: 2088-2090. |
[20] |
|
[21] |
Hennelly B M, Sheridan J T. Generalizing, optimizing, and inventing numerical algorithms for the fractional Fourier, Fresnel, and linear canonical transforms[J]. Journal of the Optical Society of America A, 2005, 22(5): 917-927. |
[22] |
|
[23] |
|
[24] |
Liu S, Sheridan J T. Optical encryption by combining image scrambling techniques in fractional fourier domains[J]. Optics Communications, 2013, 287(10): 73-80. |
[25] |
Tao R, Lang J, Wang Y. Optical image encryption based on the multiple parameter fractional Fourier transform[J]. Optics Letters, 2008, 33: 581-583. |
[26] |
|
[27] |
Alieva T, Bastiaans J. Alternative representation of the linear canonical integral transform[J]. Optics Letters, 2005, 30(24): 3302-3304. |
[28] |
|
[29] |
Rodrigo J A, Alieva T. Calvo M L. Applications of gyrator transform for image processing[J]. Optics Communications, 2007, 278(2): 279-284. |
[30] |
|
[31] |
Rodrigo J A, Alieva T, Calvo M L. Experimental implementation of the gyrator transform[J]. Journal of Optical Society of America A, 2007, 24(10): 3135-3139. |
[32] |
|
[33] |
|
[34] |
Liu Z J, Chen D Z, Ma J P. Fast algorithm of discrete gyrator transform based on convolution operation[J]. Optik, 2011, 122: 864-867. |
[35] |
Muhammad R A. An asymmetric color image cryptosystem based on schur decomposition in gyrator transform domain[J]. Optics and Lasers in Engineering, 2014, 58: 39-47. |
[36] |
|
[37] |
|
[38] |
Muhammad R A. Color information verification system based on singular value decomposition in gyrator transform domains[J]. Optics and Lasers in Engineering, 2014, 57: 13-19. |
[39] |
|
[40] |
Lieven D L. A multilinear singular value decomposition[J]. Siam Journal on Matrix Analysis and Application, 2000, 21 (4): 1253-1278. |
[41] |
Vannieuwenhoven N. A new truncation strategy for the higher-order singular value decomposition[J]. Siam Journal on Scientific Computing, 2012, 34(2): 1027-1052. |
[42] |
|
[43] |
|
[44] |
Rajwade A, Rangarajan A, Banerjee A. Image denosing using the higher order singular value decomposition[J]. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2013, 35(4): 849-862. |
[45] |
Xiao H S, Wang Z L, Fan Z G. Optical distortion Evaluation of an aerodynamically heated window, based on the higher-order singular value decomposition with the influence of elasto-optical effect excluded[J]. Applied Optics, 2012, 51(16): 3269-3278. |
[46] |
|
[47] |
Jussi S, Andreas R, Visa K. Sequential unfolding SVD for tensors with applications in array signal processing[J]. IEEE Transactions on Signal Processing, 2009, 57(12): 4719-4733. |
[48] |
|
[49] |
|
[50] |
Chen Y L, Hsu C T. Multilinear graph embedding: representation and regularization for images[J]. IEEE Transactions on Image Processing, 2014, 23(2): 741-754. |
[51] |
Li Q, Shi X Q, Schonfeld D. Robust HOSVD-based higher-order data indexing and retrieval[J]. IEEE Signal Processing Letters, 2013, 20(10): 984-987. |
[52] |
|
[53] |
Fan D S, Meng X F, Wang Y R. Optical information encoding and image watermarking scheme based on phase-shifting interferometry and singular value decomposition[J]. Journal of Modern Optics, 2013, 60(9): 749-756. |