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Abstrakty
A multiple color images compression-encryption scheme is designed with compressive sensing in the quaternion discrete Fresnel transform. To tackle multiple color images in a holistic manner, the discrete Fresnel transform is extended into the quaternion domain and the images are encrypted with the quaternion discrete Fresnel transform. In this scheme, the RGB color components of plaintext images are simultaneously compressed and encrypted in three mutually independent channels. Then the red, green and blue components are scrambled respectively by a chaos sequence generated by the 2D logistic-sine-coupling map. Each color component matrix is compressed with sparse representation and matrix measurement. Subsequently, the compressed matrices are integrated into the quaternion algebras and re-encrypted by the defined quaternion discrete Fresnel transform. The devised nonlinear cryptosystem originates from the asymmetric phase truncation operation. In decryption, the original color images are reconstructed by the gradient descent with a sparsification algorithm. The proposed multiple color images compression-encryption algorithm is feasible, effective, secure and robust.
Czasopismo
Rocznik
Tom
Strony
259--276
Opis fizyczny
Bibliogr. 30 poz., rys., tab.
Twórcy
autor
- Department of Electronic Information Engineering, Nanchang University, Nanchang 330031, China
autor
- College of Science and Technology, Nanchang University, Jiujiang 332020, China
autor
- Department of Electronic Information Engineering, Nanchang University, Nanchang 330031, China
autor
- School of Electronic and Electrical Engineering, Shanghai University of Engineering Science, Shanghai 201620, China
autor
- Department of Electronic Information Engineering, Nanchang University, Nanchang 330031, China hensuhua@ncu.edu.cn
Bibliografia
- [1] HUA Z.Y., ZHU Z.H., YI S., ZHANG Z., HUANG H.J., Cross-plane colour image encryption using a two-dimensional logistic tent modular map, Information Sciences 546, 2021: 1063-1083. https://doi.org/ 10.1016/j.ins.2020.09.032
- [2] LAI Q., HU G.W., ERKAN U., TOKTAS A., A novel pixel-split image encryption scheme based on 2D Salomon map, Expert Systems with Applications 213, 2023: 118845. https://doi.org/10.1016/ j.eswa.2022.118845
- [3] LUAN G.Y., ZHONG Z., SHAN M.G., Optical multiple-image encryption in discrete multiple-parameter fractional Fourier transform scheme using complex encoding, theta modulation and spectral fusion, Optica Applicata 51(1), 2021: 121-134. https://doi.org/10.37190/oa210110
- [4] ZHOU N.R., TONG L.J., ZOU W.P., Multi-image encryption scheme with quaternion discrete fractional Tchebyshev moment transform and cross-coupling operation, Signal Processing 211, 2023: 109107. https://doi.org/10.1016/j.sigpro.2023.109107
- [5] ZHOU N.R., HU L.L., HUANG Z.W., WANG M.M., LUO G.S., Novel multiple color images encryption and decryption scheme based on a bit-level extension algorithm, Expert Systems with Applications 238, 2024: 122052. https://doi.org/10.1016/j.eswa.2023.122052
- [6] ZHOU W.J., WANG X.Y., WANG M.X., LI D.Y., A new combination chaotic system and its application in a new Bit-level image encryption scheme, Optics and Lasers in Engineering 149, 2022: 106782. https://doi.org/10.1016/j.optlaseng.2021.106782
- [7] MALIK D.S., SHAH T., Color multiple image encryption scheme based on 3D-chaotic maps, Mathematics and Computers in Simulation 178, 2020: 646-666. https://doi.org/10.1016/j.matcom.2020.07.007
- [8] HUA Z.Y., ZHOU Y.C., Image encryption using 2D Logistic-adjusted-Sine map, Information Sciences 339, 2016: 237-253. https://doi.org/10.1016/j.ins.2016.01.017
- [9] JASRA B., MOON A.H., Color image encryption and authentication using dynamic DNA encoding and hyper chaotic system, Expert Systems with Applications 206, 2022: 117861. https://doi.org/10.1016/ j.eswa.2022.117861
- [10] DONOHO D.L., Compressed sensing, IEEE Transactions on Information Theory 52(4), 2006: 1289-1306. https://doi.org/10.1109/TIT.2006.871582
- [11] YE G.D., LIU M., WU M.F., Double image encryption algorithm based on compressive sensing and elliptic curve, Alexandria Engineering Journal 61(9), 2022: 6785-6795. https://doi.org/10.1016/ j.aej.2021.12.023
- [12] GAN Z.H., CHAI X.L., BI J.Q., CHEN X.H., Content-adaptive image compression and encryption via optimized compressive sensing with double random phase encoding driven by chaos, Complex and Intelligent Systems 8(3), 2022: 2291-2309. https://doi.org/10.1007/s40747-022-00644-6
- [13] MOHIMANI H., BABAIE-ZADEH M., JUTTEN C., A fast approach for overcomplete sparse decomposition based on smoothed ℓ0 norm, IEEE Transactions on Signal Processing 57(1), 2009: 289-301. https://doi.org/10.1109/TSP.2008.2007606
- [14] LI X.L., ZHANG B., WANG K., LI Z.D., A multi-image encryption-then-compression scheme based on parallel compressed sensing, Optik 290, 2023: 171304. https://doi.org/10.1016/j.ijleo.2023.171304
- [15] QIN W., PENG X., Asymmetric cryptosystem based on phase-truncated Fourier transforms, Optics Letters 35(2), 2010: 118-120. https://doi.org/10.1364/OL.35.000118
- [16] HUANG Z.J., CHENG S., GONG L.H., ZHOU N.R., Nonlinear optical multi-image encryption scheme with two-dimensional linear canonical transform, Optics and Lasers in Engineering 124, 2020: 105821. https://doi.org/10.1016/j.optlaseng.2019.105821
- [17] YADAV A.K., SINGH P., SAINI I., SINGH K., Asymmetric encryption algorithm for colour images based on fractional Hartley transform, Journal of Modern Optics 66(6), 2019: 629-642. https://doi.org/ 10.1080/09500340.2018.1559951
- [18] GARG R., KHANDEKAR R., Gradient descent with sparsification: an iterative algorithm for sparse recovery with restricted isometry property, Proceedings of the 26th Annual International Conference on Machine Learning, 2009: 337-344. https://doi.org/10.1145/1553374.1553417
- [19] AIZENBERG I., ASTOLA J.T., Discrete generalized Fresnel functions and transforms in an arbitrary discrete basis, IEEE Transactions on Signal Processing 54(11), 2006: 4261-4270. https://doi.org/ 10.1109/TSP.2006.881189
- [20] XING O.Y., ANTONY C., GUNNING F., ZHANG H.Y., GUAN Y.L., Discrete Fresnel transform and its circular convolution, arXiv:1510.00574, 2015. https://doi.org/10.48550/arXiv.1510.00574
- [21] HAMILTON W.R., Elements of Quaternions, Longmans, Green(London), 1866.
- [22] GONG L.H., LUO H.X., Dual color images watermarking scheme with geometric correction based on quaternion FrOOFMMs and LS-SVR, Optics and Laser Technology 167, 2023: 109665. https:// doi.org/10.1016/j.optlastec.2023.109665
- [23] CHEN S.S.B., DONOHO D.L., SAUNDERS M.A., Atomic decomposition by basis pursuit, SIAM Review 43(1), 2001: 129-159. https://doi.org/10.1137/S003614450037906X
- [24] ZHOU N.R., JIANG H., GONG L.H., XIE X.W., Double-image compression and encryption algorithm based on co-sparse representation and random pixel exchanging, Optics and Lasers in Engineering 110, 2018: 72-79. https://doi.org/10.1016/j.optlaseng.2018.05.014
- [25] PAK C., AN K., JANG P., KIM J. KIM S., A novel bit-level color image encryption using improved 1D chaotic map, Multimedia Tools and Applications 78(9), 2019: 12027-12042. https://doi.org/ 10.1007/s11042-018-6739-1
- [26] CHEN J.X., ZHANG Y., QI L., FU C., XU L.S., Exploiting chaos-based compressed sensing and cryptographic algorithm for image encryption and compression, Optics and Laser Technology 99, 2018: 238-248. https://doi.org/10.1016/j.optlastec.2017.09.008
- [27] WANG X.Y., ZHANG H.L., BAO X.M., Color image encryption scheme using CML and DNA sequence operations, Biosystems 144, 2016: 18-26. https://doi.org/10.1016/j.biosystems.2016.03.011
- [28] WANG L.Y., SONG H.J., LIU P., A novel hybrid color image encryption algorithm using two complex chaotic systems, Optics and Lasers in Engineering 77, 2016: 118-125. https://doi.org/10.1016/ j.optlaseng.2015.07.015
- [29] REHMAN A.U., LIAO X.F., ASHRAF R., ULLAH S., WANG H.W., A color image encryption technique using exclusive-OR with DNA complementary rules based on chaos theory and SHA-2, Optik 159, 2018: 348-367. https://doi.org/10.1016/j.ijleo.2018.01.064
- [30] SURYANTO Y., SURYADI, RAMLI K., A new image encryption using color scrambling based on chaotic permutation multiple circular shrinking and expanding, Multimedia Tools and Applications 76(15), 2017: 16831-16854. https://doi.org/10.1007/s11042-016-3954-5
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-51f42afb-71a7-4822-9b16-74017b24456c