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A secure dual-color image watermarking scheme based 2D DWT, SVD and Chaotic map

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Abstract

In this paper, by using multi-level two-dimensional (2D) discrete wavelet transform (DWT), singular value decomposition (SVD) and chaotic encryption, a new secure watermarking scheme is proposed for embedding the color watermark into the color host image. In order to improve the security of the proposed algorithm, coupled map lattice (CML) is employed to modify the pixel values of the watermark image. For watermark embedding, both the host image and the encrypted watermark are converted into the NTSC color space, and then the multi-level 2D DWT is performed on the host image. The ciphered watermark is embedded by modifying the singular values of the low frequency sub-bands of the host image. Also a reliable extraction algorithm is devised to extract the watermark from the possibly attacked watermarked images without resorting to the original image. Experimental and analysis results demonstrate that the proposed watermarking scheme has not only an excellent imperceptibility but a strong robustness against the common image processing attacks, geometric attacks and some composite attacks. The results also show that our proposed method outperforms the related dual-images watermarking algorithms in most cases.

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References

  1. Ali M, Ahn CW, Pant M, Siarry P (2015) An image watermarking scheme in wavelet domain with optimized compensation of singular value decomposition via artificial bee colony. Inform Sci 301:44–60

    Article  Google Scholar 

  2. Asikuzzaman Md, Alam MdJ, Pickering MR (2015) A blind and robust video watermarking scheme in the DT CWT and SVD domain, 31st Picture Coding Symposium (PCS 2015), pp 1–5

  3. Barni M, Bartolini F, De Rosa A, Piva A (2003) Optimal decoding and detection of multiplicative watermarks. IEEE Trans Signal Process 51(4):1118–1123

    Article  Google Scholar 

  4. Bhatnagar G, Wu QMJ (2013) A new logo watermarking based on redundant fractional wavelet transform. Math Comput Model 58(1–2):204–218

    Article  MathSciNet  MATH  Google Scholar 

  5. Bhatnagar G, Wu QMJ, Raman B (2012) A new robust adjustable logo watermarking scheme. Comput Secur 31(1):40–58

    Article  Google Scholar 

  6. Bianchi T (2013) Secure watermarking for multimedia content protection: a review of its benefits and open issues. IEEE Signal Proc Mag 30(2):87–96

    Article  Google Scholar 

  7. Chan CK, Cheng LM (2004) Hiding data in images by simple LSB substitution. Pattern Recogn 37(3):469–474

    Article  MATH  Google Scholar 

  8. Chang CC, Tsai P, Lin CC (2005) SVD-based digital image watermarking scheme. Pattern Recogn Lett 26(10):1577–1586

    Article  Google Scholar 

  9. Chappelier V, Guillemot C (2006) Oriented wavelet transform for image compression and denoising. IEEE Trans Image Process 15(10):2892–2903

    Article  Google Scholar 

  10. Chen B, Coatrieux G, Chen G, Sun X, Coatrieux JL, Shu H (2014) Full 4-D quaternion discrete Fourier transform based watermarking for color images, Digit. Signal Process 28:106–119

    Google Scholar 

  11. Chou C-H, Wu T-L (2003) Embedding color watermarks in color images. Eurasip J Adv Signal Process 1:32–40

    Google Scholar 

  12. Chu WC (2003) DCT-based image watermarking using subsampling. IEEE Trans Multimedia 5(1):34–38

    Article  Google Scholar 

  13. Chung KL, Yang WN, Huang YH, Wu ST, Hsu YC (2007) On SVD-based watermarking algorithm. Appl Math Comput 188(1):54–57

    MathSciNet  MATH  Google Scholar 

  14. Darwish MM, Kamal ST, Hosny KM (2020) Improved color image watermarking using logistic maps and quaternion legendre-fourier moments. Studies in Computational Intelligence 884:137–158

    Google Scholar 

  15. Das C, Panigrahi S, Sharma VK, Mahapatra KK (2014) A novel blind robust image watermarking in DCT domain using inter-block coefficient correlation. Int J Electron Commun (AEU) 68(3):244–253

    Article  Google Scholar 

  16. Fan MQ, Wang HX, Li SK (2008) Restudy on SVD-based watermarking scheme. Appl Math Comput 203(2):926–930

    MathSciNet  MATH  Google Scholar 

  17. Ghouti L, Bouridane A, Ibrahim M, Boussakta S (2006) Digital image watermarking using balanced multiwavelets. IEEE Trans Signal Process 54(4):1519–1536

    Article  MATH  Google Scholar 

  18. Goléa NEH, Seghir R, Benzid R (2010) A bind RGB color image watermarking based on singular value decomposition. In: IEEE/ACS International Conference on Computer Systems and Applications (AICCSA 2010), pp 1–5

  19. Guo JM, Prasetyo H (2014) False-positive-free SVD-based image watermarking. J Vis Commun Image R 25(5):1149–1163

    Article  Google Scholar 

  20. Haar A (1910) Zur theorie orthogonalen funktionen-systeme. Math Ann 69(3):331–371

    Article  MathSciNet  MATH  Google Scholar 

  21. Hartung F, Kutter M (1999) Multimedia watermarking techniques. Proc IEEE 87(7):1079–1107

    Article  Google Scholar 

  22. Hosny KM, Darwish MM (2018) Robust color image watermarking using invariant quaternion Legendre-Fouriermoments. Multimed Tools Appl 77(19):24727–24750

    Article  Google Scholar 

  23. Hosny KM, Darwish MM (2019) Resilient Color Image Watermarking Using Quaternion Radial Substituted Chebychev Moments. ACM Trans Multimed Comput Commun Appl 15(2):46

    Article  Google Scholar 

  24. Hu HT, Hsu LY (2015) Robust, transparent and high-capacity audio watermarking in DCT domain. Signal Process 109:226–235

    Article  Google Scholar 

  25. Hwang MS, Chang CC, Hwang KF (1999) A watermarking technique based on one way hash functions. IEEE Trans Consum Electr 45(2):286–294

    Article  Google Scholar 

  26. Kaneko K (1992) Overview of Coupled Map Lattices. Chaos 2(3):279

    Article  MathSciNet  MATH  Google Scholar 

  27. Keyvanpour M, Bayat FM (2013) Blind image watermarking method based on chaotic key and dynamic coefficient quantization in the DWT domain. Math Comput Model 58(1–2):56–67

    Article  MATH  Google Scholar 

  28. Lai CC, Tsai CC (2010) Digital image watermarking using discrete wavelet transform and singular value decomposition. IEEE Trans Inst Measure 59(11):3060–3063

    Article  Google Scholar 

  29. Langelaar GC, Lagendijk RL (2001) Optimal differential energy watermarking of DCT encoded images and video. IEEE Trans Image Process 10(1):48–58

    Article  MATH  Google Scholar 

  30. Lee SH (2014) DWT based coding DNA watermarking for DNA copyright protection. Inform Sci 273:263–286

    Article  Google Scholar 

  31. Lee I-S, Tsai W-H (2009) Data hiding in grayscale images by dynamic programming based on a human visual model. Pattern Recogn 42(7):1604–1611

    Article  MATH  Google Scholar 

  32. Liu R, Tan T (2002) An SVD-based watermarking scheme for protecting rightful ownership. IEEE Trans Multimedia 40(1):121–128

    Google Scholar 

  33. Mallat S (1989) A theory for multiresolution signal decomposition: the wavelet representation. IEEE Trans Pattern Anal Machine Intell 11(7):674–693

    Article  MATH  Google Scholar 

  34. Megias D, Serra-Ruiz J, Fallahpour M (2010) Efficient self-synchronised blind audio watermarking system based on time domain and fft amplitude modification. Signal Process 90(12):3078–3092

    Article  MATH  Google Scholar 

  35. Mishra A, Agarwal C, Sharma A, Bedi P (2014) Optimized gray-scale image watermarking using DWT-SVD and Firefly Algorithm. Expert Syst Appl 41(17):7858–7867

    Article  Google Scholar 

  36. Naderahmadian Y, Hosseini-Khayat S (2014) Fast and robust watermarking in still images based on QR decomposition. Multimed Tools Appl 72(3):2597–2618

    Article  Google Scholar 

  37. Nan H, Fang B, Yang W, Qian J, Li M, Liu Y, Zhang Y (2015) Cryptanalysis and improvement of the robust and blind watermarking scheme for dual color image. Math Probl Eng 2015: 526174

  38. Nikolaidis A, Pitas I (2003) Asymptotically optimal detection for additive watermarking in the DCT and DWT domains. IEEE Trans Image Process 12(5):563–571

    Article  Google Scholar 

  39. Niu PP, Wang P, Liu YN, Yang HY, Wang XY (2016) Invariant color image watermarking approach usingquaternion radial harmonic Fourier moments. Multimed Tools Appl 75(13):7655–7679

    Article  Google Scholar 

  40. Rastegar S, Namazi F, Yaghmaie K, Aliabadian A (2011) Hybrid watermarking based on singular value decomposition and Radon transform. Int J Electron Commun (AEU) 65(7):658–663

    Article  Google Scholar 

  41. Rawat S, Raman B (2012) A blind watermarking algorithm based on fractional Fourier transform and visual cryptography. Signal Process 92(6):1480–1491

    Article  Google Scholar 

  42. Schyndle RGV, Tirkel AZ, Osbrone CF (1994) A digital watermark. In: Proc. IEEE International Conference on Image Processing (ICIP-94), vol. 2, pp 86–90

  43. Song W, Hou J, Li Z, Huang L (2011) Chaotic system and QR factorization based robust digital image watermarking algorithm. J Cent South Univ Technol 18(1):116–124

    Article  Google Scholar 

  44. Song C, Sudirman S, Merabti M (2012) A robust region-adaptive dual image watermarking technique. J Vis Commun Image R 23(3):549–568

    Article  Google Scholar 

  45. Su Q, Chen B (2018) Robust color image watermarking technique in the spatial domain. Soft Comput 22:91–106

    Article  Google Scholar 

  46. Su Q, Niu Y, Liu X, Zhu Y (2012) A blind dual color images watermarking based on IWT and state coding. Opt Commun 285(7):1717–1724

    Article  Google Scholar 

  47. Su Q, Niu Y, Liu X, Yao T (2013) A novel blind digital watermarking algorithm for embedding color image into color image. Optik 124(18):3254–3259

    Article  Google Scholar 

  48. Su Q, Niu Y, Zou H, Liu X (2013) A blind dual color images watermarking based on singular value decomposition. Appl Math Comput 219(16):8455–8466

    MathSciNet  MATH  Google Scholar 

  49. Su Q, Niu Y, Zhao Y, Pang S, Liu X (2013) A dual color images watermarking scheme based on the optimized compensation of singular value decomposition. Int J Electron Commun (AEU) 67(8):652–664

    Article  Google Scholar 

  50. Su Q, Niu Y, Wang G, Jia S, Yue J (2014) Color image blind watermarking scheme based on QR decomposition. Signal Process 94:219–235

    Article  Google Scholar 

  51. Swanson MD, Kobayashi M, Tewfik AH (1998) Multimedia data embedding and watermarking technologies. Proc IEEE 86(6):1064–1087

    Article  Google Scholar 

  52. Tang LL, Huang CT, Pan JS, Li CY (2015) Dual watermarking algorithm based on the Fractional Fourier Transform. Multimed Tools Appl 74(12):4397–4413

    Article  Google Scholar 

  53. Tedmori S, Al-Najdawi N (2014) Image cryptographic algorithm based on the Haar wavelet transform. Inform Sci 269:21–34

    Article  MathSciNet  MATH  Google Scholar 

  54. Tsai HH, Liu CC (2011) Wavelet-based image watermarking with visibility range estimation based on HVS and neural networks. Pattern Recogn 44(4):751–763

    Article  MathSciNet  MATH  Google Scholar 

  55. Tsui TK, Zhang XP, Androutsos D (2008) Color image watermarking using multidimensional Fourier transforms. IEEE Trans Inform Forensics Secur 3(1):16–28

    Article  Google Scholar 

  56. USC-SIPI (1977) The USC-SIPI Image Database. Available: http://sipi.usc.edu/database/database.php?volume=misc. Accessed 20 Mar 2020

  57. Verma VS, Jha RK, Ojha A (2015) Significant region based robust watermarking scheme in lifting wavelet transform domain. Expert Syst Appl 42(21):8184–8197

    Article  Google Scholar 

  58. Yen E, Lin LH (2010) Rubik’s cube watermarking technology for grayscale images. Expert Syst Appl 37(6):4033–4039

    Article  Google Scholar 

  59. Zhang XP, Li K (2005) Comments on SVD-based watermarking scheme for protecting rightful ownership. IEEE Trans Multimedia 7(3):593–594

    Article  Google Scholar 

  60. Zheng PP, Feng J, Li Z, Zhou M (2014) A novel SVD and LS-SVM combination algorithm for blind watermarking. Neurocomputing 142:520–528

    Article  Google Scholar 

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Acknowledgements

This research was jointly supported by the National Natural Science Foundation of China (Grant No. 61872125), the National Science and Technology Major Project of China (Grant No. 2018YFB0204304), the Science and Technology Foundation of Henan Province of China (Grant Nos. 182102410051 and 182102210027) , Tianjin Graduate Scientific Research Innovation Project (Grant No. 2021YJSB012).

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Authors and Affiliations

  1. College of Software, Nankai University, Tianjin, 300350, China

    Kunshu Wang & Tiegang Gao

  2. College of Software, Henan University, Kaifeng, 475004, China

    Daotao You & Xiangjun Wu

  3. Shanghai Key Lab of Intelligent Information Processing, School of Computer Science, Fudan University, Shanghai, 200433, China

    Haibin Kan

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  1. Kunshu Wang
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Correspondence to Tiegang Gao or Xiangjun Wu.

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Wang, K., Gao, T., You, D. et al. A secure dual-color image watermarking scheme based 2D DWT, SVD and Chaotic map. Multimed Tools Appl 81, 6159–6190 (2022). https://doi.org/10.1007/s11042-021-11725-y

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