3D Research

, 4:4 | Cite as

A blind fragile watermarking method for 3D models based on geometric properties of triangles

  • Amir Masoud Molaei
  • Hossein Ebrahimnezhad
  • Mohammad Hossein Sedaaghi
3DR Express


In this paper, a blind fragile watermarking method is presented for 3D triangular mesh models. In the proposed algorithm, watermark data displace medians of the mark triangle instead of embedding them into the vertices, based on the method which is explained. The displacement leads to a new triangle. The proposed method embeds data into the middle of three sides of mark triangle in spherical coordinates. It is performed by fixing one component of the center of neighboring vertices to mark triangle by small and controlled changes. It also increases the number of mark triangles in their selection process and thereby it increases the embedding capacity. The proposed method is invariant to affine transformation including translation, rotation and uniform scaling, due to the use of the normalization process before the embedding and also detection stages. Simulation results show that the proposed method has higher embedding capacity compared to the similar algorithms with the capability of detecting destructive attacks.


3D Model Watermarking Mesh Manipulating Affine Transformation Invariant Fragile Watermarking Geometrical Properties Triangular Mesh Hash Function Mark Triangle Protected Vertices Mesh Normalization Mesh Scaling 

Supplementary material

13319_2013_105_MOESM1_ESM.rar (25 kb)
Supplementary material, approximately 25.3 KB.


  1. 1.
    J. L. Dugelay, A. Baskurt, and M. Daoudi (2008) 3D object processing: compression, indexing and watermarking, Wiley.Google Scholar
  2. 2.
    A. Koz, G. A. Triantafyllidis, and A. A. Alatan (2008) 3D Watermarking: Techniques and Directions, Three-Dimensional Television, ed: Springer, 427–470.CrossRefGoogle Scholar
  3. 3.
    Q. Ai, Q. Liu, Z. Zhou, L. Yang, and S. Xie (2009) A new digital watermarking scheme for 3D triangular mesh models, Signal Processing, 89: 2159–2170.CrossRefzbMATHGoogle Scholar
  4. 4.
    C. M. Chou and D. C. Tseng (2006) A public fragile watermarking scheme for 3D model authentication, Computer-Aided Design, 38: 1154–1165.CrossRefGoogle Scholar
  5. 5.
    R. Ohbuchi, A. Mukaiyama, and S. Takahashi (2002) A frequency-domain approach to watermarking 3D shapes, Computer Graphics Forum, 373–382.Google Scholar
  6. 6.
    R. Ohbuchi, S. Takahashi, T. Miyazawa, and A. Mukaiyama (2001) Watermarking 3D polygonal meshes in the mesh spectral domain, Graphics Interface, 9–18.Google Scholar
  7. 7.
    E. Praun, H. Hoppe, and A. Finkelstein (1999) Robust mesh watermarking, Proceedings of the 26th annual conference on Computer graphics and interactive techniques, 49–56.Google Scholar
  8. 8.
    B. L. Yeo and M. M. Yeung (1999) Watermarking 3D objects for verification, Computer Graphics and Applications, 19: 36–45.Google Scholar
  9. 9.
    W. B. Wang, G. Q. Zheng, J. H. Yong, and H. J. Gu (2008) A numerically stable fragile watermarking scheme for authenticating 3D models, Computer-Aided Design, 40: 634–645.CrossRefGoogle Scholar
  10. 10.
    C. M. Chou and D. C. Tseng (2009) Affine-transformationinvariant public fragile watermarking for 3D model authentication, Computer Graphics and Applications, 29: 72–79.CrossRefGoogle Scholar
  11. 11.
    R. Z. Wang, C. F. Lin, and J. C. Lin (2001) Image hiding by optimal LSB substitution and genetic algorithm, Pattern Recognition, 34: 671–683.CrossRefzbMATHGoogle Scholar
  12. 12.
    C. T. Kuo, S. C. Cheng, D. C. Wu and C. C. Chang (2009) A blind robust watermarking scheme for 3D triangular mesh models using 3d edge vertex detection, Asian Journal of Health and Information Sciences, 4: 36–63.Google Scholar
  13. 13.
    R. Ohbuchi, H. Masuda, and M. Aono (1999) A shapepreserving data embedding algorithm for NURBS curves and surfaces, International Proceedings of Computer Graphics, 180–187.CrossRefGoogle Scholar
  14. 14.
    W. P. Thurston and J. W. Milnor (1979) The geometry and topology of three-manifolds, Princeton University.Google Scholar

Copyright information

© 3D Research Center, Kwangwoon University and Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Computer Vision Res. Lab, Faculty of Electrical EngineeringSahand University of TechnologyTabrizIran

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