Abstract
The need for secure communication of high value 3D virtual objects is becoming very important as a consequence of an increasing activity in simulation, entertainment, industrial design and cultural heritage. Secure communications of intangibles rely on cryptography and on watermarking of the transmitted objects to protect them against modifications (authentication watermarks) and redistributions (tracing forensic watermarks). While watermarking of image, audio and video is reaching maturity, 3D watermarking is still a technology in its infancy. Up to now, 3D watermarking has mainly focused on triangle meshes which are the most used digital representations of the shape of a 3D model. We show in this paper how recent signal processing techniques applied to meshes pave the way towards blind and robust watermarking of 3D shapes. We propose a survey of existing techniques and discuss their robustness, imperceptibility, capacity and security constraints.
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References
Alliez, P., Gotsman, C.: Recent advances in compression of 3D meshes. In: Dogson, N.A., Floater, M.S., Sabin, M.A. (eds.) Advances in Multiresolution for Geometric Modelling, pp. 3–26. Springer, Heidelberg (2002)
Alliez, P., et al.: Recent Advances in Remeshing of Surfaces. In: De Floriani, L., Spagnuolo, M. (eds.) Shape Analysis and Structuring, Springer, Heidelberg (2008)
Ben-Chen, M., Gotsman, C.: On the optimality of spectral compression of mesh data. ACM Transactions on Graphics 24(1), 60–80 (2005)
Benedens, O.: Geometry-based watermarking of 3D models. IEEE Computer Graphics and Applications 19(1), 46–55 (1999)
Benedens, O.: Two high capacity methods for embedding public watermarks into 3D polygonal models. In: Proceedings of ACM Multimedia, pp. 95–99 (1999)
Benedens, O., Bush, C.: Towards Blind Detection of Robust Watermarks. Computer Graphics Forum 19(3), 199–209 (2000)
Benedens, O.: Robust Watermarking and Affine Registration of 3D Meshes. In: Proc. of 5th International Workshop on Information Hiding, NoordWijkerhout, Netherlands, October 7-9, 2002, pp. 177–195 (2002)
Benedens, O.: 3D Watermarking Algorithms in Context of OpenSG Plus. Technical Report 02i002-figd (2002)
Benedens, O., Dittman, J., Petitcolas, F.A.P.: 3D Watermarking Design Evaluation. Security and Watermarking of Multimedia Contents V. In: Delp, E.J., Wong, P.W. (eds.) Proc. of SPIE-IS&T Electronic Imaging. SPIE, vol. 5020, pp. 337–348 (2003)
Bennour, J., Dugelay, J.-L.: Protection of 3D object through silhouette watermarking. In: ICASSP 2006, 31st International Conference on Acoustics, Speech, and Signal Processing, Toulouse, France, May 14-19 (2006)
Cayre, F., Macq, B.: Data Hiding on 3D Triangle Meshes. IEEE Trans. on Signal Proc. 51, 939–949 (2003)
Cayre, F., et al.: Application of Spectral Decomposition to Compression and Watermarking of 3D Triangle Mesh Geometry. Signal Processing: Image Communications 18(4), 309–319 (2003)
Cayre, F., et al.: Watermarking 3D Triangle Meshes for Authentication and Integrity. INRIA Research Report RR-5223 (2004)
Cignoni, P., Rocchini, C., Scopigno, R.: Metro: measuring error on simplified surfaces. Computer Graphics Forum 17(2), 167–174 (1998)
Corsini, M., Gelasca, E.D., Ebrahimi, T.: A multi-scale roughness metric for 3D watermarking quality assessment. In: Workshop on Image Analysis for Multimedia Interactive Services, Montreux, Switzerland, April 13-15 (2005)
Cotting, D., et al.: Robust watermarking of point-sampled geometry. In: Proc. of The International Conference on Shape Modeling and Applications, pp. 233–242 (2004)
Cox, I., Bloom, J., Miller, M.: Digital Watermarking, Principles & Practice. Morgan Kaufmann, San Francisco (2001)
Cho, J.W., et al.: Robust watermarking on polygonal meshes using distribution of vertex norms. In: Cox, I., Kalker, T., Lee, H.-K. (eds.) IWDW 2004. LNCS, vol. 3304, pp. 283–293. Springer, Heidelberg (2005)
Denis, F., et al.: Digital Watermarking of Compressed 3D Meshes. In: Int. Conf. on Machine Intelligence, Tozeur, Tunisia, November 5-7 (2005)
Elad, A., Kimmel, R.: On Bending Invariant Signatures for Surfaces. IEEE Trans. on Pattern Analysis and Machine Intelligence 25(10), 1285–1295 (2003)
Foley, J., et al.: Computer Graphics: Principle and Practice. Addison Wesley, Reading (1990)
Garcia, E., Dugelay, J.-L.: Texture-based watermarking of 3D video objects. IEEE Trans. Circuits Syst. Video Techn. 13(8), 853–866 (2003)
Garland, M., Heckbert, P.S.: Surface simplification using quadric error metrics. In: Proceedings of ACM SIGGRAPH, pp. 209–216 (1997)
Guskov, I., Sweldens, W., Schroder, P.: Multiresolution signal processing for meshes. In: Proceedings ACM SIGGRAPH, pp. 325–334 (1999)
Harte, T., Bors, A.: Watermarking 3D models. In: Proc. of Int. Conf. on Image Proc (ICIP), Rochester, NY, USA (Sep. 2002)
Hoppe, H.: Progressive meshes. In: Proc. of Computer Graphics SIGGRAPH, pp. 99–108 (1996)
Kanai, S., Date, D., Kishinami, T.: Digital watermarking for 3d p olygon using multiresolution wavelet decomposition. In: Proc. Sixth IFIP WG 5.2 GEO-6, Tokyo, Japan, pp. 296–307 (1998)
Karni, Z., Gotsman, C.: Spectral compression of mesh geometry. In: Proceedings ACM SIGGRAPH, pp. 279–286 (2000)
Kim, M.-S., et al.: Watermarking of 3D Irregular Meshes Based on Wavelet Multiresolution Analysis. In: Barni, M., et al. (eds.) IWDW 2005. LNCS, vol. 3710, pp. 313–324. Springer, Heidelberg (2005)
Jin, J.Q., et al.: Watermarking on 3D mesh based on spherical wavelet transform. SCI 5(3), 251–258 (2004)
Lee, J.J., Cho, N.I., Kim, J.W.: Watermarking for 3D NURBS graphic data. In: IEEE Int. Workshop on MMSP02, pp. 304–307 (2002)
Lounsbery, M., DeRose, T.D., Warren, J.: Multiresolution analysis for surfaces of arbitrary topological type. ACM Transactions on Graphics 16, 34–73 (1997)
Nikolaidis, A., et al.: A Survey on Watermarking Application Scenarios and Related Attacks. In: Proc. of International Conference of Image Processing, vol. 3, pp. 991–994 (2001)
Nielson, G., Foley, T.: A Survey of Applications of an Affine Invariant Norm. In: Mathematical Methods in Computer Aided Geometric Design, pp. 445–467. Academic Press, Boston (1989)
Ohbuchi, R., Masuda, H., Aono, M.: Watermarking Three-Dimensional Polygonal Models Through Geometric and Topological Modifications. IEEE Journal on Selected Areas in Communications 16(4), 551–560 (1998)
Ohbuchi, R., Masuda, H., Aono, M.: A Shape-Preserving Data Embedding Algorithm for NURBS Curves and Surfaces. In: Proc. of the Int. Conf. on Computer Graphics, June 7-11, 1999, pp. 180–184 (1999)
Ohbuchi, R., Mukaiyama, A., Takahashi, S.: A Frequency-Domain Approach to Watermarking 3D Shapes. Computer Graphics Forum 21(3), 373–382 (2002)
Page, D.L., et al.: Shape Analysis Algorithm Based on Information Theory. In: Proc. of Int. Conf. on Image Processing, vol. 1, Barcelona, Spain, pp. 229–232 (2003)
Praun, E., Hoppe, H., Finkelstein, A.: Robust mesh watermarking. In: Proceedings of the 26th annual conference on Computer graphics and interactive techniques, pp. 49–56 (1999)
Prattichizzo, D., et al.: Perceptibility of Haptic Digital Watermarking of Virtual Textures. In: WHC, pp. 52–66 (2005)
Rondao Alface, P., Macq, B.: Blind Watermarking of 3D Meshes Using Robust Feature Points Detection. In: International Conference on Image Processing (ICIP05), vol. 1, Genova, Italy, 11-14 September 2005, pp. 693–696 (2005)
Rondao Alface, P., Macq, B.: Shape Quality Measurement for 3D Watermarking Schemes. In: Electronic Imaging, Security and Watermarking of Multimedia Contents VIII, San Jose, California, 15-19 Jan. 2006. Proceedings of SPIE, vol. 6072 (2006)
Schroder, P., Sweldens, W.: Spherical Wavelets: Efficiently Representing Functions on the Sphere. In: Proc. of SIGGRAPH, pp. 161–172 (1995)
Surazhsky, V., Gotsman, C.: Explicit Surface Remeshing. In: Proc. of the EUROGRAPHICS/ACM SIGGRAPH Symposium on Geometry Processing, pp. 20–30. ACM Press, New York (2003)
Taubin, G.: A signal processing approach to fair surface design. Computer Graphics (SIGGRAPH 1995) 29, 351–358 (1995)
Uccheddu, F., Corsini, M., Barni, M.: Wavelet-based blind watermarking of 3D models. In: Proc. of the 2004 Workshop on Multimedia and Security, Magdeburg, Germany, pp. 143–154 (2004)
Valette, S., et al.: A multiresolution wavelet scheme for irregularly subdivided 3D triangular mesh. In: IEEE Int. Conf. on Image Processing, vol. 1, Kobe, Japan, pp. 171–174 (1999)
Valette, S., Prost, R.: Multiresolution analysis of irregular surface meshes. IEEE Trans. Visual. Comput. Graphics 10, 113–122 (2004)
Voloshynovskiy, S., et al.: Attack modelling: towards a second generation watermarking benchmark. Signal Processing 81, 1177–1214 (2001)
Wagner, M.: Robust Watermarking of polygonal meshes. In: Proc. of Geom. Mod. & Proc., pp. 201–208 (2000)
Yeo, B.-L., Yeung, M.M.: Watermarking 3D Objects for Verification. IEEE Computer Graphics and Applications 19(1), 36–45 (1999)
Yin, K., et al.: Robust mesh watermarking based on multi-resolution processing. Computers and Graphics 25, 409–420 (2001)
Yu, Z., Ip, H.H.S., Kwok, L.F.: A robust watermarking scheme for 3D triangular mesh models. Pattern Recognition 36(11), 2603–2614 (2003)
Wang, C.M., Cheng, Y.M.: An Efficient Information Hiding Algorithm for Polygon Models. Computer Graphics Forum 24(3), 591–600 (2005)
Wood, Z., et al.: Removing excess topology from isosurfaces. ACM Trans. on Graphics 23(2), 190–208 (2004)
Wu, J., Kobbelt, L.: Efficient Spectral Watermarking of Large Meshes with Orthogonal Basis Functions. The Visual Computers (Pacific Graphics 2005 Proceedings) 21(8-10), 848–857 (2005)
Zafeiriou, S., Tefas, A., Pitas, I.: Blind Robust Watermarking Schemes for Copyright Protection of 3D Mesh Objects. IEEE Trans. Vis. Comput. Graph. 11(5), 596–607 (2005)
Zhang, H.: Discrete Combinatorial Laplacian Operators for Digital Geometry Processing. In: Proc. of SIAM Conference on Geometric Design and Computing, pp. 575–592 (2004)
Zhou, L., Pang, A.: Metrics and Visualization Tools for Surface Mesh Comparison. In: Conference on Visual Data Exploration and Analysis. Proc. of SPIE, vol. 4302, pp. 99–110 (2001)
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Alface, P.R., Macq, B. (2007). From 3D Mesh Data Hiding to 3D Shape Blind and Robust Watermarking: A Survey. In: Shi, Y.Q. (eds) Transactions on Data Hiding and Multimedia Security II. Lecture Notes in Computer Science, vol 4499. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-73092-7_5
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DOI: https://doi.org/10.1007/978-3-540-73092-7_5
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