Abstract
We present a fragile colour image watermarking based on the greatest solution of a bilinear fuzzy relation equation. The original image is coded with fuzzy transforms and divided in sub-images of sizes 2 × 2 called blocks. The watermark is applied on these blocks. A pre-processing phase is used to determine the best compression rate for the coding process. We test this scheme in tamper detection analysis on a sample of colour images of different sizes. Comparisons with various block-based fragile watermarking methods are presented as well.
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References
Ansari, I.A., Pant, M., Ahn, C.W.: SVD based fragile watermarking scheme for tamper localization and self-recovery. J. Mach. Learn. Cybern. 7, 1225–1239 (2016). https://doi.org/10.1007/s1304201504551
Al-Otum, H.A., Al-Taba’a, A.O.: Adaptive color image watermarking based on a modified improved pixel-wise masking technique. Comput. Electr. Eng. 5, 673–695 (2009)
Barni, M.: Improved wavelet-based watermarking through pixel-wise making. IEEE Trans. Image Process. 10(5), 783–791 (2002). https://doi.org/10.1109/83.918570
Chang, Y.F., Tai, W.L.: A block-based watermarking scheme for image tamper detection and self-recovery. OPTO−Electron. Rev. 21(2), 182–190 (2013). https://doi.org/10.2478/s1177201300884
Chen, W.C., Wang, M.S.: A fuzzy C-means clustering-based fragile watermarking scheme for image authentication. Expert Syst. Appl. 36, 1300–1307 (2009). https://doi.org/10.1016/j.eswa.2007.11.018
Cox, I.J., Miller, M., Bloom, J., Fridrich, J., Kalker, T.: Digital Watermarking and Stenography, 2nd edn. Morgan Kaufmann, New York (2007). ISBN 0123725852
Di Martino, F., Sessa, S.: Digital watermarking in coding/decoding processes with fuzzy relation equations. Soft. Comput. 10, 238–243 (2006). https://doi.org/10.1007/s0050000504779
Di Martino, F., Sessa, S.: Digital Watermarking Strings with Images Compressed by Fuzzy Relation Equations. In: Chatterjee, A., Siarry, P. (eds.) Computational Intelligence in Image Processing. Springer, Heidelberg (2013). https://doi.org/10.1007/978-3-642-30621-1_9
Di Martino, F., Sessa, S.: Fragile watermarking tamper detection with images compressed by fuzzy transform. Inf. Sci. 195, 62–90 (2012). https://doi.org/10.1016/j.ins.2012.01.014
Di Martino, F., Sessa, S.: Comparison between images via bilinear fuzzy relation equations. J. Ambient Intell. Humaniz. Comput. (2017). https://doi.org/10.1007/s1265201705763
Hirota, K., Pedrycz, W.: Data compression with fuzzy relational equations. Fuzzy Sets Syst. 126(3), 325–335 (2002). https://doi.org/10.1016/S01650114(01)000094
Li, J.X.: A new algorithm for the greatest solution of fuzzy bilinear equations. Fuzzy Sets Syst. 46, 193–210 (1992). https://doi.org/10.1016/0165-0114(92)90132N
MeenakshiDevi, P., Venkatesan, M., Duraiswamy, K.: Fragile watermarking scheme for image authentication with tamper localization using integer wavelet transform. J. Comput. Sci. 5(11), 831–837 (2009). https://doi.org/10.3844/jcssp.2009.831.837
Nobuhara, H., Pedrycz, W., Hirota, K.: A digital watermarking algorithm using image compression method based on fuzzy relational equations. In: Proceedings of FUZZ-IEEE 2002, vol. 2, pp. 1568–1573. IEEE Press, New York (2002). https://doi.org/10.1109/fuzz.2002.1006740
Perfilieva, I.: Fuzzy transforms. Fuzzy Sets Syst. 157(8), 993–1023 (2006). https://doi.org/10.1016/j.fss.2005.11.012
Qin, C., Ji, P., Zhang, X., Dong, J., Wang, J.: Fragile image watermarking with pixel-wise recovery based on overlapping embedding strategy. Signal Process. 138, 280–293 (2017). https://doi.org/10.1016/j.sigpro.2017.03.033
Shih, F.Y.: Digital Watermarking and Steganography: Fundamentals and Techniques. CRC Press, Boca Raton (2007). ISBN 9781420047578
Singh, D., Singh, S.K.: DCT based efficient fragile watermarking scheme for image authentication and restoration. Multimed. Tools Appl. 76, 953–977 (2017). https://doi.org/10.1007/s110420153010x
Tong, X., Liu, Y., Zhang, M., Chen, Y.: A novel chaos-based fragile watermarking for image tampering detection and self-recovery. Signal Process.: Image Commun. 28, 301–308 (2013). https://doi.org/10.1016/j.image.2012.12.003
Walton, S.: Information authentication for a slippery new age. Dr. Dobbs J. 20(4), 18–26 (1995)
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Di Martino, F., Sessa, S. (2018). A Fragile Watermarking and Bilinear Fuzzy Equations. In: Castiglione, A., Pop, F., Ficco, M., Palmieri, F. (eds) Cyberspace Safety and Security. CSS 2018. Lecture Notes in Computer Science(), vol 11161. Springer, Cham. https://doi.org/10.1007/978-3-030-01689-0_19
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DOI: https://doi.org/10.1007/978-3-030-01689-0_19
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