Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Multiresolution analysis for surfaces of arbitrary topological type
Multiresolution analysis for surfaces of arbitrary topological type
Surface simplification using quadric error metrics
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Digital watermarking
Watermarking 3D polygonal meshes in the mesh spectral domain
GRIN'01 No description on Graphics interface 2001
Wavelet-Based Multiresolution Analysis of Irregular Surface Meshes
IEEE Transactions on Visualization and Computer Graphics
Robust Watermarking of Point-Sampled Geometry
SMI '04 Proceedings of the Shape Modeling International 2004
Wavelet-based blind watermarking of 3D models
Proceedings of the 2004 workshop on Multimedia and security
Watermarking a 3D Shape Model Defined as a Point Set
CW '04 Proceedings of the 2004 International Conference on Cyberworlds
Watermarking of 3d irregular meshes based on wavelet multiresolution analysis
IWDW'05 Proceedings of the 4th international conference on Digital Watermarking
Data hiding on 3-D triangle meshes
IEEE Transactions on Signal Processing
Novel blind multiple watermarking technique for images
IEEE Transactions on Circuits and Systems for Video Technology
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As most previous wavelet analysis based 3-D mesh watermarking methods embed the watermark information into wavelet coefficients arranged in a certain order, they have not been used as blind schemes since the connectivity information must be exactly known in the watermark extraction process. In this paper, we propose a blind watermarking method based on wavelet analysis for 3-D mesh model. Two new techniques are introduced. One is to exploit the statistical features of scale coefficients on an approximation (low resolution) level for watermark embedding. Another is to extract the hidden watermark, not from the same resolution level as used in embedding process, but directly from the spatial domain. As the proposed watermark detection does not require the wavelet analysis, any pre-processing such as registration and re-sampling, is not needed. These techniques allow to detect the watermark without referring to the original meshes. In addition, the proposed are applicable directly to irregular meshes by using irregular wavelet analysis. Through simulations, we prove that our method is fairly robust against various attacks including topological ones.