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Multimedia Tools and Applications

, Volume 74, Issue 15, pp 5897–5915 | Cite as

Wavelet-based high-capacity watermarking of 3-D irregular meshes

  • A. Ouled Zaid
  • M. Hachani
  • W. Puech
Article

Abstract

Digital watermarking can be used as data hiding technique to interleave cover content with auxiliary information before transmitting and storing applications. While image and video watermarking has been widely studied, much less attention has been paid to its application in 3D mesh models. This is principally due to their intrinsic irregular sampling nature. This paper proposes a high-capacity watermarking scheme for the purpose of inserting meta-data into 3D triangle meshes. Our proposal can be applied to meshes with arbitrary topology by using irregular wavelet-based analysis. The watermark is embedded in an appropriate resolution level by quantizing the norms of wavelet coefficient vectors. To ensure robustness to similarity transformation, a robust synchronization (indexing) mechanism is performed on the 3D model after irregular wavelet analysis. Experimental results show that our watermarking framework is robust to common geometric attacks and can provide relatively high data embedding rate whereas keep a relative lower distortion.

Keywords

Three-dimensional meshes Watermarking Wavelet transform Quantization index modulation 

References

  1. 1.
    Cox IJ, Miller ML, Bloom JA, Fridrich J., Kalker T (2007) Digital watermarking and steganography. Morgan Kaufmann Publishers Inc. ISBN: 978-0-12-372585-1Google Scholar
  2. 2.
    Wang Z, Bovik A, Sheikh H, Simoncelli E (2004) Image quality assessment: from error visibility to structural similarity. Proc IEEE Trans Image Process 13 (4):1–14CrossRefGoogle Scholar
  3. 3.
    Lavoué G, Gelasca ED, Dupont F, Baskurt A, Ebrahimi T (2006) Perceptually driven 3D distance metrics with application to watermarking. Proc SPIE Electron Imaging 6312Google Scholar
  4. 4.
    Lounsbery M, DeRose TD, Warren J (1997) Multiresolution analysis for surfaces of arbitrary topological type. ACM Trans Graph 16:34–37CrossRefGoogle Scholar
  5. 5.
    Lin CH, Chao MW, Chen JY, Yu CW, Hsu WY (2013) A high-capacity distortion- free information hiding algorithm for 3D polygon models. Int J Innov Comput Inf Control 9 (3):1321–1335Google Scholar
  6. 6.
    Gao X, Zhang C, Huang Y, Deng Z (2012) Multiresolution analysis for surfaces of arbitrary topological type. ACM Trans Multimed Comput Commun Appl 8Google Scholar
  7. 7.
    Lee H, Dikici C, Lavoué G, Dupont F (2012) Joint reversible watermarking and progressive compression of 3D meshes. Appl Math Comput 27 (6-8):781–792Google Scholar
  8. 8.
    Ai QS, Liu Q, Zhou ZD, Yang L, Xie SQ (2009) A new digital watermarking scheme for 3D triangular mesh models. Signal Process 89:2159–2170CrossRefMATHGoogle Scholar
  9. 9.
    Chung IL, Chou CM, Tseng DC (2011) A robust high capacity affine-transformation-invariant scheme for watermarking 3D geometric models. Proc J Innov Comput Inf Control 7 (6):3419–3435Google Scholar
  10. 10.
    Bogomjakov A, Gotsman C, Isenburg M (2008) Distortion-free steganography for polygonal meshes. Proc Comput Graph Forum 27 (2):637–642CrossRefGoogle Scholar
  11. 11.
    Cheng YM, Wang CM (2006) A high-capacity steganographic approach for 3D polygonal meshes. Int J Comput Graph 22 (9):845–855Google Scholar
  12. 12.
    Wang CM, Cheng YM (2005) An efficient information hiding algorithm for polygon models. Comput Graph Forum 24 (3):591–600CrossRefGoogle Scholar
  13. 13.
    Wang CM, Cheng YM (2006) Watermarking mesh-based representations of 3-D objects using local moments. IEEE Trans Image Process 15 (3):687–701CrossRefGoogle Scholar
  14. 14.
    Maret Y, Ebrahimi T (2004) Data hiding on (3D) polygonal meshs. In: Proceedings of ACM multimedia and security workshop. Magdeburg, Germany pp. 68–74Google Scholar
  15. 15.
    Costa M (1983) Writing on dirty paper. IEEE Trans Inf Theory 29 (3):439–441CrossRefMATHGoogle Scholar
  16. 16.
    Cayre F, Macq B (2003) Data hiding on (3-D) triangle meshs. IEEE Trans Signal Process 51 (4):939–949MathSciNetCrossRefGoogle Scholar
  17. 17.
    Chen B, Wornell GW (2001) Quantization index modulation, a class of provably good methods for digital watermarking and information embedding. IEEE Trans Inf Theory 47 (4):1423–1443MathSciNetCrossRefMATHGoogle Scholar
  18. 18.
    Valette S, Prost R (2004) Multiresolution analysis of irregular surface meshes. IEEE Trans Vis Comput Graph 10:113–122CrossRefGoogle Scholar
  19. 19.
    Kim MS, Valette S, Jung HY, Prost R (2005) Watermarking of 3D irregular meshes based on wavelet multiresolution analysis. Proc Int Work Digit Watermarking (IWDW’05):313–324Google Scholar
  20. 20.
    Uccheddu F, Corsini M, Barni M (2004) Wavelet-based blind watermarking of 3D models. In: Proceedings of workshop on multimedia and security. ACM Press, pp 143–154Google Scholar
  21. 21.
    Kanai S, Date H, Kishinami T (1998) Digital watermarking for 3D polygon using multiresolution wavelet decomposition. In: Proceedings of sixth IFIP WG 5.2 GEO-6. Tokyo, pp 296–307Google Scholar
  22. 22.
    Wang K, Lavoué G, Denis F, Baskurt A (2008) Hierarchical watermarking of semiregular meshes based on wavelet transform. IEEE Trans inf Forensic Secur 3:620–634CrossRefGoogle Scholar
  23. 23.
    Yang S, Yao Z (2010) A data hiding scheme based on local coordinate system for 3D triangle mesh models. J Softw 5 (4):437–446CrossRefGoogle Scholar
  24. 24.
    Sweldens W (1998) The lifting scheme: a construction of second generation wavelets. SIAM J Math Anal 29 (2):511–546MathSciNetCrossRefMATHGoogle Scholar
  25. 25.
    Chen L, Kong X, Weng B, Yao Z, Pan R (2011) A novel robust mesh watermarking based on BNBW. EURASIP J Adv Signal ProcessGoogle Scholar
  26. 26.
    Wang K, Lavoué G, Denis F, Baskurt A (2008) A comprehensive survey on three-dimensional mesh watermarking. Proc IEEE Trans Multimed 10 (8):1513–1527CrossRefGoogle Scholar
  27. 27.
    Alface RP, Macq B (2007) From 3D mesh data hiding to 3D shape blind and robust watermarking: A survey. Lect Notes Comput Sci Trans Data Hiding Multimed Syst 2:99–115Google Scholar
  28. 28.
    Aspert N, Santa-Cruz D, Ebrahimi T (2002) Mesh: measuring errors between surfaces using the Hausdorff distanceGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.SysCom Laboratory, University of Tunis El ManarNational Engineering School of TunisTunisTunisia
  2. 2.LIRMM Laboratory UMR CNRS 5506Montpellier Cedex 5France

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