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Robust digital watermarking based on local invariant radial harmonic fourier moments

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Abstract

It is a challenging work to design a robust image watermarking scheme against local geometric distortions. Radial harmonic Fourier moments (RHFMs) is a powerful tool in image processing owing to its better image description capability, lower noise sensitivity, and geometric invariance property. Based on SURF (Speeded-up robust features) detector and invariant RHFMs, we proposed a robust image watermarking scheme against local geometric distortions in this paper. Firstly, the SURF detector, which is a fast and highly performant multiscale feature detector, is used to extract image feature points in original image. Secondly, the stable and non-overlapped local circular regions centered at feature points are thereafter constructed and selected by combining characteristic scales and feature points refinement. And finally, the digital watermark is embedded in the invariant RHFMs of the local circular regions. Similarly to watermark insertion, the digital watermark can be blindly detected from the local circular regions. Experimental results confirm the validity of our approach and its higher robustness against various attacks (especially local geometric distortions) compared to alternative watermarking methods in the literature.

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References

  1. Barni M (2005) Effectiveness of exhaustive search and template matching against watermark desynchronization. IEEE Signal Proc Lett 12(2):158–161

    Article  MathSciNet  Google Scholar 

  2. Bay H, Ess A, Tuytelaars T, Gool LV (2008) Speeded-up robust features (SURF). Comput Vis Image Underst 110(3):346–359

    Article  Google Scholar 

  3. Bian Y, Liang S (2013) Locally optimal detection of image watermarks in the wavelet domain using Bessel K form distribution. IEEE Trans Image Process 22(6):2372–2384

    Article  MathSciNet  Google Scholar 

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

    Article  Google Scholar 

  5. Cao J, Huang J (2012) Controllable secure watermarking technique for tradeoff between robustness and security. IEEE Trans on Inf Forensic Secur 7(2):821–826

    Article  Google Scholar 

  6. Cheddad A, Condell J, Curran K, Mc Kevitt P (2010) Digital image steganography: survey and analysis of current methods. Signal Process 90(3):727–752

    Article  MATH  Google Scholar 

  7. Deng C, Li J, Gao X (2010) Geometric attacks resistant image watermarking in affine covariant regions. Acta Automatic Sinica 26(2):221–228

    Article  Google Scholar 

  8. Gauglitz S, Höllerer T, Turk M (2011) Evaluation of interest point detectors and feature descriptors for visual tracking. Int J Comput Vis 94(3):335–360

    Article  MATH  Google Scholar 

  9. H Liu M (2012) Steinebach. Improved Fourier domain patchwork and template embedding using spatial masking. Media Watermarking Security and Forensics 2012 Proceedings of SPIE Volume 8303 doi:10.1117/12.907861

  10. Kuo WC (2013) Image hiding by square fully exploiting modification directions. J Inf Hiding and Multime Sig Process 4(3):127–137

    Google Scholar 

  11. Lai C, Tsai C (2011) Digital image watermarking using discrete wavelet transform and singular value decomposition. IEEE Trans on Instrum Meas 59(11):3060–3063

    Article  Google Scholar 

  12. Li X (2010) Optimization analysis of formulas for quantization-based image watermarking. Opto-Electron Eng 37(2):96–102

    Google Scholar 

  13. Li L, Li S, Abraham A, Pan J (2012) Geometrically invariant image watermarking using polar harmonic transforms. Inf Sci 199(15):1–19

    Article  MATH  MathSciNet  Google Scholar 

  14. Maity SP, Maity S, Sil J, Delpha C (2013) Collusion resilient spread spectrum watermarking in M-band wavelets using GA-fuzzy hybridization. J Syst Softw 86(1):47–59

    Article  Google Scholar 

  15. Nasir I, Khelifi F, Jiang J, Ipson S (2012) Robust image watermarking via geometrically invariant feature points and image normalization. IET Image Process 6(4):354–363

    Article  MathSciNet  Google Scholar 

  16. A Nikolaidis (2011) Affine transformation invariant image watermarking using moment normalization and radial symmetry transform. The 18th IEEE International Conference on Image Processing (ICIP) 11–14 Sept Brussels, 2729–2732

  17. P Lin J Lee C. (2011) Chang. Protecting the content integrity of digital imagery with fidelity preservation. ACM Trans on Multimedia Computing Communications and Applications 7 (3) 1–15

  18. Papakostas GA, Koulouriotis DE, Tourassis VD (2012) Performance evaluation of moment-based watermarking methods: a review. J Syst Softw 85(8):1864–1884

    Article  Google Scholar 

  19. Ren H, Ping Z, Bo W, Wu W (2003) Multidistortion-invariant image recognition with radial harmonic Fourier moments. J Opt Soc Am A 20(4):631–637

    Article  MathSciNet  Google Scholar 

  20. Seo JS, Yoo CD (2006) Image watermarking based on invariant regions of scale-space representation. IEEE Trans on Signal Process 54(4):1537–1549

    Article  Google Scholar 

  21. Su P, Chang Y, Wu C (2013) Geometrically resilient digital image watermarking by using interest point extraction and extended pilot signals. IEEE Trans on Signal Process 51(4):950–959

    Google Scholar 

  22. Tang CW, Hang HM (2003) A feature-based robust digital image watermarking scheme. IEEE Trans on Signal Process 51(4):950–959

    Article  MathSciNet  Google Scholar 

  23. Tsai J, Huang W, Kuo Y, Horng M (2012) Joint robustness and security enhancement for feature-based image watermarking using invariant feature regions. Signal Process 92(6):1431–1445

    Article  Google Scholar 

  24. Tuytelaars T, Mikolajczyk K (2008) Local invariant feature detectors: a survey. Found Trends Comput Graph Vis 3(3):177–280

    Article  Google Scholar 

  25. Valizadeh A, Wang ZJ (2012) An improved multiplicative spread spectrum embedding scheme for data hiding. IEEE Trans on Inf Forensic Secur 7(4):1127–1143

    Article  Google Scholar 

  26. Wang X-Y, Miao E-N, Yang H-Y (2012) A new SVM-based image watermarking using gaussian-hermite moments. Appl Soft Comput 12(2):887–903

    Article  Google Scholar 

  27. Yuan XC, Pun CM, Chen PCL (2013) Geometric invariant watermarking by local Zernike moments of binary image patches. Signal Process 93(7):2087–2095

    Article  Google Scholar 

  28. Zhang H, Shu H, Coatrieux G (2011) Affine Legendre moment invariants for image watermarking robust to geometric distortions. IEEE Trans Image Process 20(8):2189–2199

    Article  MathSciNet  Google Scholar 

  29. Zheng D, Liu Y, Zhao J (2007) A. E. Saddik. A survey of RST invariant image watermarking algorithms. ACM Comput Surv 39(2):1–91

    Article  Google Scholar 

Download references

Acknowledgment

This work was supported by the National Natural Science Foundation of China under Grant No. 61272416, 60873222, & 60773031, the Open Project Program of Jiangsu Key Laboratory of Image and Video Understanding for Social Safety (Nanjing University of Science and Technology) under Grant No. 30920130122006, the Open Foundation of Zhejiang Key Laboratory for Signal Processing under Grant No. ZJKL_4_SP-OP2013-01, the Open Foundation of Provincial Key Laboratory for Computer Information Processing Technology (Soochow University) under Grant No. KJS1325, the Open Project Program of the State Key Lab of CAD&CG (Grant No. A1425), Zhejiang University, and Liaoning Research Project for Institutions of Higher Education of China under Grant No. L2013407.

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Yang, Hy., Wang, P., Wang, Xy. et al. Robust digital watermarking based on local invariant radial harmonic fourier moments. Multimed Tools Appl 74, 10559–10579 (2015). https://doi.org/10.1007/s11042-014-2187-8

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  • DOI: https://doi.org/10.1007/s11042-014-2187-8

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