Robust digital image watermarking against shearing based on haar orthogonal function system

Abstract

In this paper, a robust digital watermarking method against shearing based on Haar orthogonal function system was introduced. The proposed method adopted the complete generalized orthogonal properties of Haar orthogonal function system to achieve the piece — based orthogonal transform on the image. The significant middle frequency coefficients in the transformation matrix are picked up, based on characteristics of the image visual system and the Haar orthogonal transform. The watermark is adoptively weighed to the middle frequency matrix. The method improves the validity of watermarking and shows excellent advantage against shearing attack. Experimental results show that the Haar orthogonal function system based watermark approach can provide an excellent protection under geometric attacks.

Keywords

digital watermarking / Haar orthogonal function system / shearing attack

References

[1] Ruanaidh J J K, Pun T. Rotation, scale and translation spread spectrum digital image watermarking [J]. Signal Processing, 1998, 66(3): 303-317

[2] Bender W, Gruhl D, Morimoto N, et al. Techniques for data hiding [J]. BM Syst, 1996, 35(3,4): 313-336

[3] Cox I J, Kilian J, Leighton F T. Secure spread spectrum watermarking for multimedia [J]. IEEE Tran of Image Processing, 1997, 6(12): 1673-1687

[4] LINNARTZ J P, DEPOVERE G, KALKER T. On the design of a watermarking system: considerations and rationales [A]. Information hiding Third International Workshop, IH99[C]. Dresden, Germany, 1999.

[5] VAN SCHYNDEL R G, TIRKEL A Z, OSBORNE C F. On the design of a watermarking system: consideration and rationales[A]. Proceeding of IEEE International Conference on Image Processing [C]. Vancouver, Canada, 1994.

[6] Niu Xia mu, Lu Zhe-ming, Sun Sheng-he. Digital watermarking of still image with gray level digital watermarks [J]. IEEE Trans on Consumer Electronics, 2000, 46(1): 137-239

[7] Rao Xue-fang, Zhang Qi-shan. The Method and Applications of Generalized Bridge function system [M]. 1998, Beijing: National Defense Industry Publish House

[8] FUNE N J. On groups of orthogonal functions [J]. Pacific J Math, 1995 (5):234–239.

[9] Huang Ji-wu, Tan Tie-niu. Summary of the Image In plate Watermark [J]. Electronic Paper, 2000, 26(5): 645-655

[10] Huang Ji-wu, Elmasry G F, Shi Yun-qi. The method of image watermarks based on matching filter [J]. Electronic Paper, 2001, 29(4): 447-451