Abstract
Most digital watermarking schemes using QR factorization suffer from being unable to fully utilize the elements of the R matrix. Thus, these schemes are neither secure nor robust to resist the cropping attack. Besides, these schemes do not deal with the allowable modification ranges of the R elements, thereby causing the damage to the hidden watermark. In this paper, we designed an algorithm to redundantly embed the four copies of the watermark bits to enhance the ability to against the cropping attack. During the embedding process, the property of sign wave is employed to ease the modification of real number coefficients. After the four copies of a watermark bit are extracted, they may be different due to possible attacks. Therefore, we designed a weighted strategy to resolve the watermark bit. The experimental results show that our scheme satisfy the requirements of imperceptibility and robustness. Particularly, our scheme has prominent robustness against cropping attacks.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Ansari, I.A., Pant, M., Ahn, C.W.: SVD based fragile watermarking scheme for tamper localization and self-recovery. Int. J. Mach. Learn. Cybern. 7(6), 1225–1239 (2015). https://doi.org/10.1007/s13042-015-0455-1
Byun, S.C., Lee, S.K., Tewfik, A.H., Ahn, B.H.: A SVD-based fragile watermarking scheme for image authentication. LNCS, vol. 2613, pp. 170–178. Springer, Heidelberg (2003)
Cheney, W., Kincaid, D.: Linear Algebra: Theory and Applications. Jones and Bartlett, Sudbury (2009)
Gao, J., Fan, L., Xu, L.: Solving the face recognition problem using QR factorization. WSEAS Transl. Math. 11(8), 712–721 (2012)
Hsu, C.S., Tu, S.F.: Probability-based tampering detection scheme for digital images. Opt. Commun. 283(9), 1737–1743 (2010)
Hsu, C.S., Tu, S.F.: Image authentication based on QR decomposition and sinusoid. In: 11th International Conference on Computer Science and Education. IEEE Press, pp. 479–482 (2016). https://doi.org/10.1109/iccse.2016.7581627
Huang, H.F.: A fragile watermarking algorithm based on Chaos and QR decomposition. Intl. J. Adv. Comput. Tech. 5(4), 117–124 (2013)
Kang, Q., Li, K., Chen, H.: An SVD-based fragile watermarking scheme with grouped blocks. In: 2nd International Conference on Information Technology and Electronic Commerce. IEEE Press (2014). https://doi.org/10.1109/icitec.2014.7105595
Katzenbeisser, S., Petitcolas, F.A.P.: Information Hiding: Techniques for Steganography and Digital Watermarking. Artech House Inc., MA, USA (2000)
Stoer, J., Bulirsch, R.: Introduction to Numerical Analysis, 3rd edn. Springer, New York (2002)
Su, O., Niu, Y., Zou, H., Zhao, Y., Yao, T.: A blind double color image watermarking algorithm based on QR decomposition. Multimed. Tools Appl. 72(1), 987–1009 (2014)
Su, Q., Niu, Y., Wang, G., Jia, S., Yue, J.: Color image blind watermarking scheme based on QR decomposition. Signal Proc. 94, 219–235 (2014)
Su, O., Wang, G., Zhang, X., Lv, G., Chen, B.: An improved color image watermarking algorithm based on QR decomposition. Multimed. Tools Appl. 76(1), 707–729 (2017). https://doi.org/10.1007/s11042-015-3071-x
Subhedar, M.S., Manbkar, V.H.: Image steganography using redundant discrete wavelet transform and QR factorization. Comp. Elec. Eng. 54, 406–422 (2016)
QR decomposition. https://en.wikipedia.org/wiki/QR_decomposition
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Hsu, CS., Tu, SF. (2018). Digital Watermarking Scheme Enhancing the Robustness Against Cropping Attack. In: Hung, J., Yen, N., Hui, L. (eds) Frontier Computing. FC 2017. Lecture Notes in Electrical Engineering, vol 464. Springer, Singapore. https://doi.org/10.1007/978-981-10-7398-4_9
Download citation
DOI: https://doi.org/10.1007/978-981-10-7398-4_9
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-7397-7
Online ISBN: 978-981-10-7398-4
eBook Packages: EngineeringEngineering (R0)