Abstract
Compressive sensing and chaos-based image compression-encryption scheme is proposed. A two-dimensional chaotic map, the sine logistic modulation map is used to generate a chaotic sequence. The chaotic sequence is used to construct two circulant measurement matrices. The sparse representation of the plain image is obtained by employing discrete cosine transform. The transform coefficients are then measured using the two measurement matrices. Two levels of encryption are achieved. The parameters of the chaotic map acts as the key in the first level of encryption. Further, Arnold chaotic map-based scrambling is used to enhance the security of the cipher. Simulation results verify the effectiveness of the algorithm and its robustness against various attacks.
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References
Phamila, A.V.Y., Amutha, R.: Low complexity energy efficient very low bit-rate image compression scheme for wireless sensor network. Inf. Process. Lett. 113(18), 672–676 (2013)
Phamila, A.V.Y., Amutha, R.: Energy-efficient low bit rate image compression in wavelet domain for wireless image sensor networks. Electron. Lett. 51(11), 824–826 (2015)
Zhou, Y., Bao, L., Chen, C.P.: A new 1D chaotic system for image encryption. Sig. Process. 97, 172–182 (2014)
Belazi, A., El-Latif, A.A.A., Belghith, S.: A novel image encryption scheme based on substitution-permutation network and chaos. Sig. Process. 128, 155–170 (2016)
Hanis, S., Amutha, R.: Double image compression and encryption scheme using logistic mapped convolution and cellular automata. Multimedia Tools Appl. (2017). doi:10.1007/s11042-017-4606-0
Deepak, M., Ashwin, V. and Amutha, R.: A new multistage multiple image encryption using a combination of Chaotic Block Cipher and Iterative Fractional Fourier Transform. In: First International Conference on Networks and Soft Computing (ICNSC2014), pp. 360–364 (2014)
Zhang, W., Yu, H., Zhao, Y.L., Zhu, Z.L.: Image encryption based on three-dimensional bit matrix permutation. Sig. Process. 118, 36–50 (2016)
Zhu, H., Zhao, C., Zhang, X.: A novel image encryption–compression scheme using hyper-chaos and Chinese remainder theorem. Sig. Process. Image Commun. 28(6), 670–680 (2013)
Guesmi, R., Farah, M.A.B., Kachouri, A., Samet, M.: A novel chaos-based image encryption using DNA sequence operation and Secure Hash Algorithm SHA-2. Nonlinear Dyn. 83(3), 1123–1136 (2016)
Chen, J.X., Zhu, Z.L., Fu, C., Yu, H.: Optical image encryption scheme using 3-D chaotic map based joint image scrambling and random encoding in gyrator domains. Opt. Commun. 341, 263–270 (2015)
Mahesh, M., Srinivasan, D., Kankanala, M., Amutha, R.: Image cryptography using discrete Haar Wavelet transform and Arnold Cat Map. In Communications and Signal Processing (ICCSP), 2015 International Conference, pp. 1849–1855 (2015)
Wu, X., Wang, D., Kurths, J., Kan, H.: A novel lossless color image encryption scheme using 2D DWT and 6D hyperchaotic system. Inf. Sci. 349, 137–153 (2016)
Niyat, A.Y., Moattar, M.H., Torshiz, M.N.: Color image encryption based on hybrid hyper-chaotic system and cellular automata. Opt. Lasers Eng. 90, 225–237 (2017)
Chandrasekaran, J. and Thiruvengadam, S.J.: A hybrid chaotic and number theoretic approach for securing DICOM images. Secur. Commun. Netw. (2017)
Donoho, D.L.: Compressed sensing. IEEE Trans. Inf. Theory 52(4), 1289–1306 (2006)
Baraniuk, R.G.: Compressive sensing [lecture notes]. IEEE Signal Process. Mag. 24(4), 118–121 (2007)
Rachlin, Y., Baron, D.: The secrecy of compressed sensing measurements. In: Communication, Control, and Computing, 2008 46th Annual Allerton Conference, pp. 813–817 (2008)
Zhang, Y., Zhou, J., Chen, F., Zhang, L.Y., Wong, K.W., He, X., Xiao, D.: Embedding cryptographic features in compressive sensing. Neurocomputing 205, 472–480 (2016)
Zhou, N., Zhang, A., Zheng, F., Gong, L.: Novel image compression–encryption hybrid algorithm based on key-controlled measurement matrix in compressive sensing. Opt. Laser Technol. 62, 152–160 (2014)
Ponuma, R., Aarthi, V., Amutha, R.: Cosine Number Transform based hybrid image compression-encryption. In: Wireless Communications, Signal Processing and Networking (WiSPNET), International Conference, pp. 172–176 (2016)
Zhang, A., Zhou, N., Gong, L.: Color image encryption algorithm combining compressive sensing with Arnold transform. J. Comput. 8(11), 2857–2863 (2013)
Zhou, N., Li, H., Wang, D., Pan, S., Zhou, Z.: Image compression and encryption scheme based on 2D compressive sensing and fractional Mellin transform. Opt. Commun. 343, 10–21 (2015)
Zhou, N., Pan, S., Cheng, S., Zhou, Z.: Image compression–encryption scheme based on hyper-chaotic system and 2D compressive sensing. Opt. Laser Technol. 82, 121–133 (2016)
Candes, E.J.: The restricted isometry property and its implications for compressed sensing. C.R. Math. 346(9–10), 589–592 (2008)
Bandeira, A.S., Dobriban, E., Mixon, D.G., Sawin, W.F.: Certifying the restricted isometry property is hard. IEEE Trans. Inf. Theory 59(6), 3448–3450 (2013)
Mallat, S.G., Zhang, Z.: Matching pursuits with time-frequency dictionaries. IEEE Trans. Signal Process. 41(12), 3397–3415 (1993)
Liu, E., Temlyakov, V.N.: The orthogonal super greedy algorithm and applications in compressed sensing. IEEE Trans. Inf. Theory 58(4), 2040–2047 (2012)
Mohimani, H., Babaie-Zadeh, M., Jutten, C.: A fast approach for overcomplete sparse decomposition based on smoothed l 0 norm. IEEE Trans. Signal Process. 57(1), 289–301 (2009)
Hua, Z., Zhou, Y., Pun, C.M., Chen, C.P.: 2D sine logistic modulation map for image encryption. Inf. Sci. 297, 80–94 (2015)
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Ponuma, R., Amutha, R. (2018). Compressive Sensing and Chaos-Based Image Compression Encryption. In: Hassanien, A., Oliva, D. (eds) Advances in Soft Computing and Machine Learning in Image Processing. Studies in Computational Intelligence, vol 730. Springer, Cham. https://doi.org/10.1007/978-3-319-63754-9_17
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DOI: https://doi.org/10.1007/978-3-319-63754-9_17
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