Abstract
Reversible data hiding in encrypted images has become an effective and popular way to preserve the security and privacy of users’ personal images. Recently, Xiao et al. firstly presented reversible data hiding in encrypted images with use of the modern signal processing technique compressive sensing (CS). However, the quality of decrypted image is not great enough. In this paper, a new method of separable data hiding in encrypted images are proposed by using CS and discrete fourier transform, which takes full advantage of both real and imaginary coefficients for ensuring great recovery and providing flexible payload. Compared with the original work, the proposed method can obtain better image quality when concealing the same embedding capacity. Furthermore, image decryption and data extraction are separable in the proposed method, and the secret data can be extracted relatively accurately.
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References
Candes EJ, Tao T (2006) Near-optimal signal recovery from random projections: universal encoding strategies. IEEE Trans Inf Theory 52(12):5406–5425
Gong L, Liu X, Zheng F, Zhou N (2013) Flexible multiple-image encryption algorithm based on log-polar transform and double random phase encoding technique. J Mod Opt 60(13):1074–1082
Hong W, Chen T, Wu H (2012) An improved reversible data hiding in encrypted images using side match. IEEE Sign Proc Lett 19(4):199–202
Hussein B (1990) The fast fourier transform and its applications. Sign Proc Integrated Circuits 149–191
Li M, Xiao D, Peng Z, Nan H (2014) A modified reversible data hiding in encrypted images using random diffusion and accurate prediction. Electron Telecommun Res Ins 36(2):325–328
Liao X, Shu C (2015) Reversible data hiding in encrypted images based on absolute mean difference of multiple neighboring pixels. J Vis Commun Image Represent 28(1):21–27
Petitcolas FAP, Anderson RJ, Kuhn MG (1999) Information hiding a survey. Proc IEEE Spec Issue Protect Multimed Content 87(7):1062–1078
Puech W, Chaumont M, Strauss O (2008) “A reversible data hiding method for encrypted images”. In: 367 Proceedings of Security, Forensics, Steganography, and Watermarking of Multimedia Contents X, San Jose, pp 6819E
Qian Z, Zhang X, Wang S (2014) Reversible data hiding in encrypted JPEG bitstream. IEEE Trans Multimed 16(5):1486–1491
Qin C, Chang CC, Hsu TJ (2015) Reversible data hiding scheme based on exploiting modification direction with two steganographic images. Multimed Tools Appl 74(15):5861–5872
Qin C, Zhang X (2015) Effective reversible data hiding in encrypted image with privacy protection for image content. J Vis Commun Image Represent 31:154–164
Ronald B (2003) The two-dimensional fourier transform. Fourier Anal Imaging 140–173
Wang CT, Yu HF (2012) High-capacity reversible data hiding based on multi-histogram modification. Multimed Tools Appl 61(2):299–319
Xia Z, Wang X, Sun X, Wang B (2014) Steganalysis of least significant bit matching using multi-order differences. Sec Commun Networks 7(8):1283–1291
Xiao D, Cai H, Wang Y (2015) High-capacity separable data hiding in encrypted image based on compressive sensing. Multimed Tools Appl 75(21):13779–13789
Xiao D, Chen S (2014) Separable data hiding in encrypted image based on compressive sensing. Electron Lett 50(8):598–600
Xiao D, Deng M, Zhu X (2015) A reversible image authentication scheme based on compressive sensing. Multimed Tools Appl 74(18):7729–7752
Zhang X (2011) Reversible data hiding in encrypted images. IEEE Sign Proc Lett 18(4):255–258
Zhang X (2012) Separable reversible data hiding in encrypted image. IEEE Trans Info Foren Security 7(2):826–832
Zhang W, Ma K, Yu N (2014) Reversibility improved data hiding in encrypted images. Signal Process 94(1):118–127
Zhang X, Qian Z, Feng G, Ren Y (2014) Efficient reversible data hiding in encrypted images. J Vis Commun Image Represent 25(2):322–328
Zhou N, Pan S, Cheng S, Zhou Z (2016) Efficient image compression-encryption scheme based on hyper-chaotic system and 2D compressive sensing. Opt Laser Technol 82:121–133
Zhou N, Yang J, Tan C, Pan S, Zhou Z (2015) Double-image encryption scheme combining DWT-based compressive sensing with discrete fractional random transform. Opt Commun 354:112–121
Zhou N, Zhang A, Zheng F, Gong L (2014) Novel image compression-encryption hybrid algorithm based on key-controlled measurement matrix in compressive sensing. Opt Laser Technol 62:152–160
Acknowledgments
This work is supported by National Natural Science Foundation of China (Grant Nos. 61402162, 61472131, 61272546), Specialized Research Fund for the Doctoral Program of Higher Education (Grant No. 20130161120004), Science and Technology Key Projects of Hunan Province (No. 2015TP1004), Opening Project of Shanghai Key Laboratory of Integrated Administration Technologies for Information Security (Grant No. AGK201605).
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Liao, X., Li, K. & Yin, J. Separable data hiding in encrypted image based on compressive sensing and discrete fourier transform. Multimed Tools Appl 76, 20739–20753 (2017). https://doi.org/10.1007/s11042-016-3971-4
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DOI: https://doi.org/10.1007/s11042-016-3971-4