Abstract
The proliferation of information and communication technology has made exchange of information easier than ever. Security and copyright protection of multimedia contents in such a scenario has become a major challenge for the research community round the globe. Digital watermarking has been found as an effective tool for protection and security of multimedia content. A secure and robust watermarking scheme based on DC coefficient modification in pixel domain and a modified logistic map is presented in this paper. The cover image is divided into \(8 \times 8\) sub-blocks and instead of computing DC coefficient using discrete cosine transform (DCT), we compute DC coefficient of each block in spatial domain. Watermark bits are embedded by modifying DC coefficients of various blocks in spatial domain. The quantum of change to be brought in various pixels of a block for embedding watermark bit depends upon DC coefficient of respective blocks, nature of watermark bit (0 or 1) to be embedded and the adjustment factor. The security of embedded watermark has been taken care of by using chaotic encryption based on a generalized logistic map (GLM). We show that GLM has better properties like ergodicity, larger lyapunov exponent, uniform invariant density, mixing, higher range of bifurcation parameter etc., compared to basic logistic map. We exploit these properties of GLM for designing a secure robust, strong efficient cryptosystem to encrypt the watermark information before embedding it. Experimental investigations show that besides being highly secure the proposed technique is robust to both signal processing and geometric attacks. Further, the proposed scheme is computationally efficient as DC coefficient which holds the information is computed in pixel domain instead of using DCT on an image block.
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References
Li, C., Lin, D., Lu, J., Hao, F.: Cryptanalyzing an image encryption algorithm based on autoblocking and electrocardiography. (2017). arXiv:1711.01858
Djurovic, I., Stankovic, S., Pitas, I.: Digital watermarking in the fractional Fourier transformation domain. J. Netw. Comput. Appl. 24, 167–173 (2001)
Parah, S.A., Sheikh, J.A., Hafiz, A.M., Bhat, G.M.: A secure and robust information hiding technique for covert communication. Int. J. Electron. 102, 1253–1266 (2014)
Shabir, A.P., Javaid, A.S., Bhat, G.M.: Data hiding in scrambled images: a new double layer security data hiding technique. Comput. Electr. Eng. 40, 70–82 (2014)
Parah, S.A., Javaid, A.S, Farhana, A., Bhat, G.M.: On the realization of robust watermarking system for medical images. In: 12th IEEE India International Conference (INDICON) on Electronics, Energy, Environment, Communication, Computers, Control (E3-C3), pp. 1–6. Jamia Millia Islamia, New Delhi (2015)
Shabir, A.P., Javaid, A.S., Bhat, G.M.: On the realization of a secure, high capacity data embedding technique using joint top-down and down- top embedding approach. Elixir Comp. Sci. Eng. 49, 10141–10146 (2012)
Shabir, A.P., Javaid, A.S., Bhat, G.M.: High capacity data embedding using joint intermediate significant bit and least significant technique. Int. J. Inf. Eng. Appl. 2, 1–11 (2013)
Cintra, J., Dimitrov, S., Oliveira, M., Campello, M.: Fragile watermarking using finite field trigonometrical transforms. Signal Process. Image Commun. 24(7), 587–597 (2009)
Liu, Y., Zhao, J.: A new video watermarking algorithm based on 1D DFT and Radon transform. Signal Process. 90(2), 626–639 (2010)
Ghouti, L., Bouridane, A., Ibrahim, M., Boussakta, S.: Digital image watermarking using balanced multi-wavelets. IEEE Trans. Signal Process. 54(4), 1519–1536 (2106)
Lu, W., Sun, W., Lu, H.: Novel robust image watermarking based on subsampling and DWT. Multimed. Tools Appl. 60(1), 31–46 (2012)
Lai, C., Tsai, C.: Digital image watermarking using discrete wavelet transform and singular value decomposition. IEEE Trans. Instrum. Meas. 59(11), 3060–3063 (2010)
Chen, R., Luo, Y., Lan, Y., Alsharif, M.: A new robust digital image watermarking algorithm based on singular value decomposition and independent component analysis. J. Con. Inf. Tech. 8(5), 530–537 (2013)
Parah, S.A., Sheikh, J.A., Bhat, G.M.: Robust and blind watermarking technique in DCT domain using inter-block coefficient differencing. Digit. Signal Process. 53, 11–24 (2016)
Fazlali, H.R., Samavi, S., Karimi, N., Shirani, S.: Adaptive blind image watermarking using edge pixel concentration. Multimed. Tools Appl. 76, 3105 (2016). https://doi.org/10.1007/s11042-015-3200-6
Bhatnagar, G., Wu, Q.M.: A new robust and efficient multiple watermarking scheme. Multimed. Tools Appl. 74, 8421–8444 (2015)
Kalra, G.S., Talwar, R., Sadawarti, H.: Adaptive digital image watermarking for color images in frequency domain. Multimed. Tools Appl. 74, 6849–6869 (2015)
Lang, J., Zhang, Z.: Blind digital watermarking method in the fractional Fourier transform domain. Opt. Lasers Eng. 53, 112–121 (2014)
Guo, J., Zheng, P., Huang, J.: Secure watermarking scheme against watermark attacks in the encrypted domain. J. Vis. Commun. Image Represent. 30, 125–135 (2015)
Ma, F., Zhang, J., Zhang, W.: A blind watermarking technology based on DCT do-main, In: Proceedings of the IEEE International Conference on Computer Science and Service System, CSSS, 2012, pp. 398–401 (2012)
Lin, S., Shie, S., Guo, J.Y.: Improving the robustness of DCT-based image watermarking gainst JPEG compression. Comput. Stand. Interfaces 32, 54–60 (2010)
Das, C., Panigrahi, S., Sharma, V.K., Mahapatra, K.K.: A novel blind robust image watermarking in DCT domain using inter-block coefficient correlation. Int. J. Electron. Commun. 68, 244–253 (2014)
Niansheng, L., Huajian, L., Huaiyu, D., Donghui, G., Deming, C.: Robust blind image watermarking based on chaotic mixtures. Nonlinear Dyn. 80, 1329–1355 (2015)
Sajjad, S., Jamal, T.S., Iqtadar, H.: An efcient scheme for digital watermarking using chaotic map. Nonlinear Dyn. 73, 1469–1474 (2013)
Seyyed, M.R., Farschi, H.: A novel chaotic approach for information hiding in image. Nonlinear Dyn. 69, 1525–1539 (2012)
Amir, A., Adil, M.S., Jameel, A., Iqtadar, H.: A technique for digital steganography using chaotic maps. Nonlinear Dyn. 75, 807–816 (2014)
Laiying, L., Dong, N., Siping, C., Tianfu, W., Feng, Z.: Optimal image watermarking scheme based on chaotic map and quaternion wavelet transform. Nonlinear Dyn. 78, 2897–2907 (2014)
Chen, P., Yu, S., Zhang, He, J., Lin, Z., Le, C., Lu, J.: ARM-embedded implementation of a video chaotic secure communication via WAN remote transmission with desirable security and frame rate. Nonlinear Dyn. 86, 725–740 (2016)
Zhao, J., Wang, S., Chang, Y., Li, X.: A novel image encryption scheme based on an improper fractionalorder chaotic system. Nonlinear Dyn. 80, 1721–1729 (2015)
Elbadri, M., Peterkin, R., Groza, V., Ionescu, D., Saddik, A.E.: Hardware support of JPEG. In: Proceedings of Canadian Conference on Electrical and Computer Engineering pp. 812–815 (2005)
Wallace, G.K.: The JPEG still picture compression standard. IEEE Trans. Consum. Electron. 38, 18–24 (1992)
Shih, F.Y., Wu, S.Y.: Combinational image watermarking in the spatial and frequency domains. Pattern Recogn. 36(4), 969–975 (2003)
Su, Q., Ni, Y., Wang, Q., Sheng, G.: A blind color image watermarking based on DC component in the spatial domain. Optik 124, 255–6260 (2013)
Pareek, N., Patidar, V., Sud, K.: Image encryption using chaotic logistic map. Image Vis. Comput. 24, 926–934 (2006)
Chen, G., Mao, M., Chui, C.: A symmetric image encryption based on 3D chaotic map. Chaos Solut. Fractals 21, 749–761 (2004)
Shabir, A.P., Javaid, A.S., Bhat, G.M.: Hiding in encrypted images: a three tier security data hiding system. Multidimens. Syst. Signal Process. 28(2), 549–572 (2017)
Parah, S.A., Sheikh, J.A., Hafiz, A.M., Bhat, G.M.: A secure and robust information hiding technique for covert communication. Int. J. Electron. 102, 1253–1266 (2014)
Parah, S.A., Javaid, A.S., Nazir, L., Farhana, A., Bhat, G.M.: Information hiding in medical images: a robust medical image watermarking system for E-Healthcare. Multimed. Tools Appl. 76(8), 10599–10633 (2017)
Nidhi, S.: A new image encryption method using chirikov and logistic map. Int. J. Comput. Appl. 59, 2123–2129 (2013)
Patra, J.C., Phua, J.E., Bornand, C.: A novel DCT domain CRT-based watermarking scheme for image authentication surviving JPEG compression. Digit. Signal Proc. 20(6), 1597–1611 (2010)
Chengqing, L., Tao, X., Qi, L., Ge, C.: Cryptanalyzing image encryption using chaotic logistic map. Nonlinear Dyn. 78, 1545–1551 (2014)
Eric, Y.X., Chengqing, L., Simin, Y., Jinhu, L.: On the cryptanalysis of Fridrich’s chaotic image encryption scheme. Sig. Process. 132, 150–154 (2017)
Chengqing, L., Dongdong, L.: Cryptanalyzing an image-scrambling encryption algorithm of pixel bits. IEEE Multimed. 24(3), 64–71 (2017)
Chengqing, L., Shujun, L., Muhammad, A., Juana, N., Gonzalo, A., Guanrong, Chen: On the security defects of an image encryption scheme. Image Vis. Comput. 27, 1371–1381 (2009)
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The authors acknowledge the support rendered by University Grants Commission (UGC) Government of India under its SAP programme for conduct of this work.
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Parah, S.A., Loan, N.A., Shah, A.A. et al. A new secure and robust watermarking technique based on logistic map and modification of DC coefficient. Nonlinear Dyn 93, 1933–1951 (2018). https://doi.org/10.1007/s11071-018-4299-6
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DOI: https://doi.org/10.1007/s11071-018-4299-6