Data Hiding based Compression Mechanism for 3D Models

Different compression methods (Jingliang Peng et al., 2005) such as progressive meshes and single refinement mesh compression exist for mesh representation for 3D models and improving them is a challenge. This paper is a step in this direction, where we show that data hiding methods can be used to significantly improve the compression achieved for such methods. 3D meshes are made up of connectivity (edge set E) and geometric (vertices set V) information. The data hiding method should provide a very high embedding rate in order to achieve a desirable compression ratio. This can be modeled mathematically, given 'V points or vertices in 3D space; for a given compression ratio we use 'AT' points and hide rest of the connectivity and geometric information inside it. These points are termed as the encoding points and the encoded information is termed is the compressed information.

[1]  Joseph O'Rourke,et al.  Handbook of Discrete and Computational Geometry, Second Edition , 1997 .

[2]  C.-C. Jay Kuo,et al.  Technologies for 3D mesh compression: A survey , 2005, J. Vis. Commun. Image Represent..

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

[4]  Paolo Cignoni,et al.  Metro: Measuring Error on Simplified Surfaces , 1998, Comput. Graph. Forum.

[5]  Marc Alexa,et al.  Progressive point set surfaces , 2003, TOGS.

[6]  Gregory W. Wornell,et al.  Quantization index modulation: A class of provably good methods for digital watermarking and information embedding , 2001, IEEE Trans. Inf. Theory.

[7]  Olivier Devillers,et al.  Geometric compression for interactive transmission , 2000, Proceedings Visualization 2000. VIS 2000 (Cat. No.00CH37145).

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

[9]  Olivier Devillers,et al.  Progressive lossless compression of arbitrary simplicial complexes , 2002, SIGGRAPH.

[10]  Rémy Prost,et al.  Wavelet-based progressive compression scheme for triangle meshes: wavemesh , 2004, IEEE Transactions on Visualization and Computer Graphics.

[11]  Gert Vegter,et al.  In handbook of discrete and computational geometry , 1997 .

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

[13]  Peter Schröder,et al.  Normal meshes , 2000, SIGGRAPH.

[14]  Pierre Alliez,et al.  Progressive compression for lossless transmission of triangle meshes , 2001, SIGGRAPH.

[15]  Marc Alexa,et al.  Computing and Rendering Point Set Surfaces , 2003, IEEE Trans. Vis. Comput. Graph..

[16]  Andrei Khodakovsky,et al.  Progressive geometry compression , 2000, SIGGRAPH.