A Blind Robust 3D-Watermarking Scheme Based on Progressive Mesh and Self Organization Maps

Most of progressive mesh (PM) transmission techniques, consist in iteratively decimating the mesh, while storing the information necessary to the process inversion. During the transmission or visualization the 3D content can be duplicated and redistributed by a pirate. Digital watermarking is considered as a good solution to this emerging problem. This paper focus on introducing a novel robust and blind mesh watermarking schema by converting the original triangle mesh into a multi-resolution format, consisting of a coarse base mesh and a sequence of refinement, the watermark bits are inserted through progressive mesh level of details, and extracted at refinement stage without any need for the original model. The watermark insertion is performed only on set of marked vertices come out from Self Organization Maps (SOM) clustering neural network. These vertices are used as candidates for watermark carriers that will hold watermark bits through progressive mesh transmission. The robustness of proposed techniques is evaluated experimentally by simulating attacks such as mesh smoothing, noise addition and mesh cropping.

[1]  Meenakshisundaram Gopi,et al.  Feature Oriented Progressive Lossless Mesh Coding , 2010, Comput. Graph. Forum.

[2]  Hiroshi Masuda,et al.  Data embedding algorithms for geometrical and non-geometrical targets in three-dimensional polygonal models , 1998, Comput. Commun..

[3]  Rémy Prost,et al.  Wavelet-based multiresolution analysis of irregular surface meshes , 2004, IEEE Transactions on Visualization and Computer Graphics.

[4]  Hugues Hoppe,et al.  Progressive meshes , 1996, SIGGRAPH.

[5]  Boon-Lock Yeo,et al.  Watermarking 3D Objects for Verification , 1999, IEEE Computer Graphics and Applications.

[6]  Gabriel Taubin,et al.  Progressive forest split compression , 1998, SIGGRAPH.

[7]  Benoit M. Macq,et al.  Data hiding on 3-D triangle meshes , 2003, IEEE Trans. Signal Process..

[8]  Renato Pajarola,et al.  Compressed Progressive Meshes , 2000, IEEE Trans. Vis. Comput. Graph..

[9]  Hung-Kuang Chen,et al.  Progressive watermarking on 3D meshes , 2010, 2010 IEEE International Symposium on Broadband Multimedia Systems and Broadcasting (BMSB).

[10]  Hiroshi Masuda,et al.  Watermarking three-dimensional polygonal models through geometric and topological modifications , 1998, IEEE J. Sel. Areas Commun..

[11]  Ryutarou Ohbuchi,et al.  Watermarking 3D Polygonal Meshes in the Mesh Spectral Domain , 2001, Graphics Interface.

[12]  Osei Adjei,et al.  Machine vision: an incremental learning system based on features derived using fast Gabor transforms for the identification of textural objects , 2001, SPIE Optics + Photonics.

[13]  Ryutarou Ohbuchi,et al.  A Frequency‐Domain Approach to Watermarking 3D Shapes , 2002, Comput. Graph. Forum.

[14]  Rémy Prost,et al.  An Oblivious Watermarking for 3-D Polygonal Meshes Using Distribution of Vertex Norms , 2007, IEEE Transactions on Signal Processing.

[15]  Adam Finkelstein,et al.  Robust mesh watermarking , 1999, SIGGRAPH.

[16]  Oliver Benedens,et al.  Geometry-Based Watermarking of 3D Models , 1999, IEEE Computer Graphics and Applications.

[17]  David Zhang,et al.  Robust mesh watermarking based on multiresolution processing , 2001, Comput. Graph..

[18]  Rik Pintelon,et al.  A Frequency Domain Approach , 2013 .

[19]  Peter Schröder,et al.  Multiresolution signal processing for meshes , 1999, SIGGRAPH.

[20]  Ho Lee,et al.  Joint reversible watermarking and progressive compression of 3D meshes , 2011, The Visual Computer.

[21]  Shi-Min Hu,et al.  A New Watermarking Method for 3D Models Based on Integral Invariants , 2009, IEEE Transactions on Visualization and Computer Graphics.

[22]  B. Prabhakaran,et al.  Robust blind watermarking mechanism for point sampled geometry , 2007, MM&Sec.

[23]  Rémy Prost,et al.  Progressive Lossless Mesh Compression Via Incremental Parametric Refinement , 2009, Comput. Graph. Forum.

[24]  Yasunari Yoshitomi,et al.  WATERMARKING FOR 3D POLYGONS USING WAVELET TRANSFORM AND MODIFIED TRAVELING SALESMAN PROBLEM , 2009 .

[25]  Aboul Ella Hassanien,et al.  Robust watermarking approach for 3D triangular mesh using self organization map , 2013, 2013 8th International Conference on Computer Engineering & Systems (ICCES).