Abstract
The reversible watermarking algorithm has been extensively studied in the field of information security in recent years, and prediction-error expansion (PEE) is a widely used technology for reversible watermarking embedding. Ou et al. (IEEE Trans Image Process 22(12):5010–5021, 2013) proposed a two-dimensional histogram shifting method to extend the conventional method, which yields better performance. This paper further expands the two-dimensional histogram shifting method, proposes a reversible watermarking algorithm based on multi-dimensional PEE and reduces the distortion by abandoning the embedding mappings with high distortion. The experimental result shows that the multi-dimensional PEE method can achieve relatively higher Peak Signal to Noise Ratio (PSNR) at the same embedding rate. In addition, it also proves that, the multi-dimensional PEE algorithm only needs to consider the simplest case of the embedding distortion threshold, and it is more suitable for images with simple and smooth texture.









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References
Dragoi IC, Coltuc D (2016) Adaptive pairing reversible watermarking. IEEE Trans Image Process 25(5):2420–2422
Fridrich J, Goljan M, Du R (2001) Invertible authentication. Security and watermarking of multimedia contents III. Int Soc Opt Photon 4314:197–208
Gao X, An L, Yuan Y, Tao D, Li X (2011) Lossless data embedding using generalized statistical quantity histogram. IEEE Trans Circuits Syst Video Technol 21(8):1061–1070
Hu Y, Lee HK, Li J (2009) DE-based reversible data hiding with improved overflow location map. IEEE Trans Circuits Syst Video Technol 19(2):250–260
Li X, Yang B, Zeng T (2011) Efficient reversible watermarking based on adaptive prediction-error expansion and pixel selection. IEEE Trans Image Process 20(12):3524–3533
Li X, Li B, Yang B, Zeng T (2013) General framework to histogram-shifting-based reversible data hiding. IEEE Trans Image Process 22(6):2181–2191
Li X, Zhang W, Gui X, Yang B (2015) Efficient reversible data hiding based on multiple histograms modification. IEEE Trans Inf Forensics Secur 10(9):2016–2027
Ni Z, Shi YQ, Gui X et al (2006) Reversible data hiding. IEEE Trans Circuits Syst Video Technol 16(3):354–362
Ou B, Li X, Zhao Y et al (2013) Pairwise prediction-error expansion for efficient reversible data hiding. IEEE Trans Image Process 22(12):5010–5021
Sachnev V, Kim HJ, Nam J et al (2009) Reversible watermarking algorithm using sorting and prediction. IEEE Trans Circuits Syst Video Technol 19(7):989–999
Shi YQ, Li X, Zhang X, Wu HT, Ma B (2016) Reversible data hiding: Advances in the past two decades. IEEE Access 4:3210–3237
Thodi DM, Rodriguez JJ (2007) Expansion embedding techniques for reversible watermarking. IEEE Trans Image Process 16(3):721–730
Tian J (2013) Reversible data embedding using a difference expansion. IEEE Trans Circuits Syst Video Technol 13(8):890–896
Wang X, Ding J, Pei Q (2015) A novel reversible image data hiding scheme based on pixel value ordering and dynamic pixel block partition. Inf Sci 310:16–35
Acknowledgements
This work was supported by the National Key Research and Development Program of China (No. 2016YFB0800601) and the Key Basic Research Plan in Shaanxi Province (Grant No. 2017ZDXM-GY-014). This work is supported by the Key Program of NSFC-Tongyong Union Foundation under Grant U1636209.
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Yu, X., Wang, X. & Pei, Q. Reversible watermarking based on multi-dimensional prediction-error expansion. Multimed Tools Appl 77, 18085–18104 (2018). https://doi.org/10.1007/s11042-018-5794-y
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DOI: https://doi.org/10.1007/s11042-018-5794-y